PROF. UNIV. Dr. LAURENTIU MIRCEA PANAITOPOL Data si locul nasterii: Nascut in localitatea Balcic, la 10 august 1940. Educatia: A absolvit Facultatea de Matematica si Fizica a Universitatii Bucuresti, sectia Analiza matematica, in anul 1964. Pozitii academice: A fost profesor de liceu in perioada 1964-1970, asistent in perioada 1970-1983, lector in perioada 1983-1991, conferentiar 1991-2001. Profesor din 2001 la Facultatea de Matematica si Informatica, Catedra de Algebra. Teza de doctorat: A sustinut doctoratul in 1979 cu teza ''Contributii la studiul functiilor ritmetice''. Cursuri predate: A tinut cursuri si seminarii de Metode analitice in teoria numerelor (studii aprofundate - masterat), Metodica predarii matematicii si Teoria numerelor. De asemenea a tinut seminarii de Algebra – geometrie si Functii complexe la Facultatea de Fizica. Domenii de interes stiintific: Teoria Numerelor si Metodica predarii matematicii. Recenzent la Math. Reviews. Este membru al RGMIA al Universitatii Victoria din Melbourne si membru AMS.

LUCRARI STIINTIFICE

1. Eine Eigenschaft der Funktionen uber die Verteilung der Primzahlen. Bull.Math.Soc. Sci.Math.Romania Ser.23(71),No.2(1979),189-194 Zbl.Math. 414.10045 2. Uber einige arithmetische Funktionen. Bull.Math.Soc. Sci.Math.Romania Ser.26(74),No.3(1982),269-274,Zbl.Math.41410045 3. Some criteria for the irreducibility of polynomials . Bull.Math.Soc. Sci.Math.Romania Ser. 29(77),No.1(1985),69-74 (in colab.cu D Stefanescu). M.R. 86k: 12005

4.A class of irreducible polynomials. Bull.Coll.Sci.Univ.Ryukyus-Japan 42.(1986), 1-3, (in colab.cu D Stefanescu).

Zbl.Math. 616.13005, 5. On some irreducible polynomials.

Bull.Math.Soc. Sci.Math.Romania Ser.30(78)No 3(1986) 159-161, (in colab.cu D Stefanescu). Zbl.Math.616.13004. 6. A generalization of the Schoenemann-Eisenstein irreducibility criterion. Prepr.’’Babes-Bolyai’’ Univ.,Fac. Math. Phys.,Res.Semin.No.9,(1986) 54-56. (in colab.cu D Stefanescu). Zbl.Math. 688.12015. 7.A resultant condition for the irreducibility of the polynomials. J.Number Theory 25 (1987), 107-111, (in colab.cu D Stefanescu). Zbl.Math. 615.13002.

8. On Scherk’s theorem. Bull.Math.Soc. Sci.Math.Romania Ser. 31(79), (1987),250-253 Zbl.Math.631.10004. 9. On the Eisenstein’s criterion. An Univ. Buc.,Ser. Math. 36,(1987),65-67(in colab.cu D Stefanescu). Zbl. Math.642.12021. 10.Factorization criteria for polynomials. Proc. Conf. Algebra Timisoara,(1987) 70-73 (in colab.cu D Stefanescu). M.R. 90 a 12006. 11.Factorization of the Schoenemann polynomials. Bull.Math.Soc. Sci.Math.Romania Ser.32(80), No.3,(1988),259-262, (in colab.cu D Stefanescu). Zbl.Math. 665.13009. 12.On the generalized difference polynomials, Pac.J.Math.143,No.2,(1990)341-348. (in colab.cu D Stefanescu). Zbl.Math.689.12013. 13.A class of polynomials in positive characteristic. Bull.Math.Soc. Sci.Math.Romania Ser. 33(81), No.4,(1989) 343-346. (in colab.cu D Stefanescu). Zbl.Math. 729.11063. 14. About the exponent of an irreducible polynomial. Bull.Math.Soc. Sci.Math.Romania Ser.35(83),No.1/2,(1991) 119-124, (in colab.cu D Stefanescu). Zbl.Math. 755.11038. 15. The existence of a triangle with prescribed angle bisector lengths. Am.Math.Mon.101,No 1(1994),58-60(,in colab cu P Mironescu). M.R. 95h 11138. 16. Some polynomial factorisations over the integers. Bull.Math.Soc. Sci.Math.Romania Ser. 37,No.3-4,(1993) 127-131. (in colab.cu D Stefanescu). Zbl.Math.849.11082. 17. About a polynomial index and its applications. Bull.Math.Soc. Sci.Math.Romania Ser.37,No.1-2,(1993) 85-91, (in colab.cu D Stefanescu). Zbl.Math. 852.12001. 18. Bounds for heigts of integer polynomial factors. J Univ. Comp. Sci. 1 Nr.8 599-609, (in colab.cu D Stefanescu).(1995) M.R.97d 1191. 19.Several approximation of π (x) Math.Inequal.Appl.2 No.3,317-324,(1999) Zbl. Math. 990.53635. 20. Stable Polynomials and Applications to Polynomial factorisation, Analele Univ. Bucuresti seria Mat. Inf., XLVI,p.3-14,(1997) (in colaborare cu D. Stefanescu)Zbl.Math.99163526. 21.On the inequality pa pb >pab Bull.Math.Soc. Sci.Math Roumanie Tome 41(89) No.2,(1998) 135-140.Zbl.Math.99163521

22. On the inequality π (x) >x/ log x-1. Analele Univ. Bucuresti,seria Matematica,XLVII no.2 (1998), 187-192.Zbl.Math.99163515 23. Strong Bertrad’s postulate revisited. Notes on Number Theory and Discret Mathematics 5,(1999),No.3,121-123.MR 1748060 24. An inequality concerning the prime numbers. Notes on Number Theory and Discret Mathematics 5,(1999),No.2,52-54,MR 1746720 25. Erdos-Turan problem for prime numbers in arithmetic progression. Math Reports Vol.1(51) No.4,(1999) 595-599 MR. 2002 d: 11112 26. Properties of positive integer sequences which are sum of two squares. Bull.Math.Soc. Sci.Math Roumanie Tome 42(90), No.2(1999).p125-132.Zbl.Math99163527 27. Asymptotical formulae for a(n)= n-ϕ(n). Bull.Math.Soc. Sci.Math Roumanie Tome 42(90). No.3 (1999),271-277.Zbl.Math.99163514 28.On Erdos-Prachar Theorem. Analele Univ. Bucuresti,seria Matematica,XLVIII,p 143-148, No.2,(1999).p143-148Zbl.Math 99163514 29. On a squarefree integers Bull.Math.Soc.Sci.Math.Roumanie Tome 43(91) No.1(2000), 19-23. MR 2002 k:11156 30.A formula for π(x) applied to a result of Koninck-Ivic, Nieuw Archiev voor Wiskunde vij serie nr.1, (2000),p. 55-57.MR 1760.776 31.On a problem of Erdös-Turan , Publicationes Mathematicae Debrecen (57/ 1-2( 2000), 85-89. MR.1771.674 32.Inequalities concerning the function π(x).Applications. Acta Arithmetica XCIV.4 (2000), 373-381. MR.1779.949.Zbl.Math.99163524 33.Properties of the series of differences of prime numbers-Publication du Centre de Recherches en Mathematique pures,Neuchatel,serie 1,31,(2000) 21-38,MR 1783245 34.Minorations pour les measures de Mahler de certains polynomes particuliers. Journal de Theorie des Nombres de Bordeaux,12,(2000), 127-132. MR 2002 b:11151 35.Properties of the function γ(n) . Publications du Centre de Recherches en Matematique pures Neuchâtel, serie 1,(32)(2001)25-31 36. Asymptotic formulas involving π(x) . Bull.Math.Soc.Sci.Math.Roumanie,Tome 43.no.2,(2000) 149-154 MR 2002 k: 11153

37.On a theorem of Edmund Landau. Analele Univ.Buc.seria Matematica,XLIX,No.1(2000)67-72 MR 1898 :362 38. On inequality related to Hardy-Littlewood’s conjecture Analele Univ.Buc.seria Matematica,XLIX,No.2(2000)163-166 MR 1898:601 39.Inequalities on polynomial heights. Journal Of Inequalities in Pure & Applied Mathematics,Melbourne vol.2 Issue 1,Article 7(2001) (In colab cu D Stefanescu)MR 2002 a:11018 40.On some properties of the π*(x)- π(x) function. Notes on Number Theory and Discret Mathematics 6,(2000),No.1,23-27.MR1809279

41.On some properties concerning the function a(n)=n-ϕ(n) Bulletin of the Greek Math.Society,Vol 45 (2001),71-77.MR1952482(2003k:11008)

42.An Inequality involving the Prime Numbers. Publications of the Faculty Electrical Engineering Belgrad 11(2001),33-35 MR 2002 g:11009

43 Inequalities involving prime numbers Math.Reports Vol.3(53),No.3(2001) 251-256 Mr1929536(2003g:11008) 44 Some of the properties of the sequence of powers of prime numbers. The Rocky Mountain Journal of Mathematics 31, No.4, 1407-1415 (2001) MR 2002 k: 11156 45. On the equation n-ϕ (n)=m. Bull. Math. Soc. Sci. Math. Roumanie Tome 44 (92).No.1, 97-100 (2001) 46. Some properties of Liouville’s function. Bull. Math. Soc. Sci. Math. Roumanie 44 (92).No.4, 365-370 (2001) 47. Checking of the Hardy-Littlewood’s conjecture in specials cases. Revue Romaine de Mathematique Pures.et Appl. No.4 (2001)465-470 MR 1910309 48.Inequalities involving the sequence of composed numbers Publications du Centre de Recherches en Matematique pures Neuchâtel, serie 1,(33)No 1(2002)19-25 49.Some generalizations for a theorem by Landau Math.Inequalities & Appl.(Zagreb)4 no 3 327-330(2001) MR 2002 l:11121 50. Generalizations for Landau’s Theorem Analele Univ. Buc.Seria Matematica (LI) No.1, 71-76 (2002) 51. Some properties of the series of composite numbers JIPAM (Melbourne) 2 no 3 Article 38 (http://jipam.vu.edu.au (2002) MR 2002 j 11103

52. Consequences of a theoreme of Erdos-Prachar JIPAM (Melbourne) 2 no 3 Article 35 (http://jipam.vu.edu.au)(2002) MR 2002 j 11102 53.On the sequence (( pn)2 – pn-1p n+1) JIPAM (Melbourne) 3 no 4 Article 53(http://jipam.vu.edu.au)MR (2002) 54. A special case of the Hardy-Littlewood conjecture Math Reports 4(54) no 3, 265-268 (2002) 55. The sequence of the powers of prime numbers revised Math Reports 5(55) no 1, 85-91 (2003) 56. On the sequence of the powers of prime numbers Analele Univ. Buc. (LI) No 2, 149-152 (2002) 57. Quartic fields extension with no proper intermediate field Revue Roumaine de Mathematique Pure et Appl vol48, no1, 1-11(2003) (cu T.Albu)1-11. MR 1998057 58. Intervals containing prime numbers Notes on Number Theory and Discrete Mathematics vol.8, no4, 144-148(2002) 59. Erdös-Turán type inequalities JIPAM (Melbourne) 4 no1 Article 23 (http://jipam.vu.edu.au).(2003). MR1966003 60. On Oblath’s problem Journal of Integer Sequences, vol.6, Article03.35 (2003) (cu A. Gica) 61. A result similar to a theorem of Lagrange Math Reports vol.6(56) no3, 45-50 (2003) (cu A. Gica) 62. On the representation of natural numbers as sums of squares Amer. Math. Monthly vol. 112, no.2, 168-171 (2005) 63. On the relation between the digital sum and product of a natural number Publications of the Faculty Electrical Engineering Belgrad, Ser. Mat.15, 66-71 (2004) 64. Additive properties for the sequence (rn)n≥1 Analele Univ. Buc., vol.52, Nr.1, 57-62 (2003) 65. Relationship between a natural number and its digital product Notes on Number Theory and Discrete Mathematics vol.10, no3, 68-71(2004) 66. Properties of the Atanassov function Advanced Studies in Contemporary Mathematics (Pusan)8, no.1, 55-58 (2004)

67. Properties of the restrictive factor Notes on Number Theory and Discrete Mathematics vol.10, no3, 68-71(2004) 68. New inequalities on Polynomial divisors JIPAM (Melbourne) vol.5, no4, Article 89 (http://jipam.vu.edu.au).(2004) (cu D. Stefanescu) 69. Some Asymptotic Formulas Involving Primes in Arithmetic Progression. Comentarii Mathematici Universitatis Sancti Pauli, vol.53, no.1, 23-35(2004) (cu: C. Cobeli, M. Vajaitu, A. Zaharescu) 70. Powerful numbers in sequences. Math. Reports 7/57, No.1 (2005), 57-63 (cu G. Mincu) 71. On a problem of Brocard. Bull. of London Math. Soc. 37 (2005) (cu A. Gica) 72. On some properties of squarefree and squareful numbers. Bull. Math. Soc. Sci. Math Roumanie tome 49(97) no.1 (2006), 63-68 (cu G. Mincu) 73. Polynomial Factorization. Bull. Math. Soc. Sci. Math Roumanie tome 49(97) no.1 (2006), 69-75 (cu D. Ştefănescu) LUCRARI ACCEPTATE PTR PUBLICARE 74. On the quotient of the consecutive primes Mathematica Moravica () 75. Series involving the least and the greatest prime factor of a natural number MIA () (cu G. Mititica) 76. On a sequence related to powerful numbers. Analele Univ. Buc. No.2 (2005) (cu G. Mincu) 77. On some representations as sums of squares. Notes on Number Theory and Discrete Mathematics ()(cu G. Mincu) 78. Properties of the Sandor function. Notes on Number Theory and Discrete Mathematics ()(cu G. Mincu) 79. More about powerful numbers JAFDE (New Delhi) No.1 January-June(2006) (cu G. Mincu) 80. Equations involving arithmetic functions Carpathian Journal of Mathematics (2006) (cu G. Mincu)

Lucrari diverse 1. Notiunile fundamentale ale matematicii moderne in liceu, G. M. A. nr. 11 si nr.12, (1971) (cu Dan Radu). 2. O incercare de problematizare in predarea aritmeticii, G. M. A. nr.3, (1972) (cu Gh. Tomsa). 3. Cum am rezolvat o problema, G. M. A. nr.1, (1973). 4. Predarea inecuatiilor la clasa a IX-a, G. M. A. nr.5, (1973). 5. Asupra sirului diferentelor numerelor prime, G. M. A. nr.6, (1974). 6. Generalizarea inegalitatii lui Bonsse, G. M. A. nr.6, (1974). 7. Criteriul lui Schönemann de ireductibilitate a polinoamelor, G. M. A. nr.3-4 (1985) (cu D.Stefanescu). 8. An irreductibility criteria for polynomials, Abstr. Amer. Math. Soc. 7/226, (1986) (cu D.Stefanescu). 9. Factorization of the Schönemann polynomials, Abstr. Amer. Math. Soc. vol.8, nr.2, p.261, (1987) (cu D.Stefanescu). 10. Contest problems amd mathematical creation. Mathematics competitions, Vol.4, no.2, (1991), Univ. of Canberra (cu D.Stefanescu). 11. O clasa de numere prime. Gazeta Matematica (serie pentru informare stiintifica si perfectionare metodica) XV, nr.2, (1997), 108-110. 12. Despre inegalitatea p1p2...pn>nn. Gazeta Matematica (serie pentru informare stiintifica si perfectionare metodica) XVI, nr.3, (1998), 181-189. 13. Cateva proprietati ale numerelor triunghiulare. Gazeta Matematica (serie pentru informare stiintifica si perfectionare metodica), XVIII, No.3, (2000), 213-217. 14. Asupra ecuatiei t (nh)=kt(n). Revista de Matematica din Timisoara, V(4), No.3-4, (2000), 1-3. 15. Cateva proprietati ale numerelor triunghiulare. Gazeta Matematica (serie pentru informare stiintifica si perfectionare metodica), 18 (XCVIII), nr.3, (2000), 213-216. 16. Generalizarea unei inegalitati a lui Cebasev si cateva aplicatii. Gazeta Matematica (serie pentru informare stiintifica si perfectionare metodica), 18(XCVIII), nr.4, (2000), 324-327. 17. Functia de distributie a numerelor prime, Lucrarile seminarului de creativitate matematica, Univ. Baia Mare, vol.9 (1999-2000), 97-104. 18. O aplicatie a inegalitatii lui Abel, Lucrarile seminarului de creativitate matematica, Univ. Baia Mare, vol.9 (1999-2000), 105-109 (cu M.E. Panaitopol).

CITARI in Reviste ISI si MONOGRAFII din Strainatate (Selectie)

Lucrari citate in ‘’Handbook of Number Theory’’,D.S.Mitrinovic, J Sandor , B Cristic. Kluwer Academic Publishers Dordrecht-Boston-London.(1996)

1.Lucrarea 1(lista 1) la pag.236 2.Lucrarea 2(lista 1) la pag.208 3.Lucrarea 7(lista 3) la pag.248 si 255

4 Lucrarea17 (lista 3) la pag.434 Lucrare citata in’’ Manuel de Construction de triangles’’-Luis Lopes, Q.E.D.Tente Boucherville, Quebec. 5.Lucrarea 15(lista 1) la pag.206,207. Lucrare citata in’’ Anvences in geometric inequalities’’-D.S Mitrinovic,J. Pecaric, V.Volenc, Kluwer Academic Publishers Dordrecht-Boston-London.(1982) 6. Lucrarea 10 (lista 3) la pag.171 Lucrari citate in’’ Polynomials an algotithmic approch’’-M Mignotte,D Stefanescu Springer Verlag-Singapore-New York-(1989) 7. Lucrarea 7(lista 1) la pag.60-62 8.Lucrarea 12(lista 1) la pag.69 9.Lucrarea 3(lista 1) la pag 291 10.Lucrarea 17(lista 1) la pag 135 11.Lucrarea 21(lista 1) la pag 133 12.Lucrarea 3 (lista 2) la pag.291 Lucrare citata in ’’Computational and algorithmic problems in finite fields’’-I.E Sparlinski, Kluwer Academic Publishers Dordrecht-Boston-London.(1992) 13.Lucrarea 13(lista 1) la pag.21 Lucrare citata in ‘’A generalization of Ehrenfeucht’s Irreducibility criterion’’-G.Angelmuller.,Journal of Number Theory 36,No 1(1990) 14.Lucrarea 3(lista 1) la pag.21 Lucrare citata in ‘’Finite Fields.Theory of Computation- I.E Sparlinski Kluwer Academic Publishers Dordrecht-Boston-London.(1999) 15.Lucrarea 13(lista 1) la pag.45

Lucrare citata in ‘’Organicsubstances dosage by infrared spectroscopy quantitative-determinations numerical processing by the base-line method-I.Popescu Revista de Chimie 43 No.3-4,(1992) 161-170 16. Lucrarea 3(lista 2)

Lucrare citata in” On some Inequalities Concerning R. Garunkstis Experimental Mathematics 11 ,2 (2002),297-301 17. Lucrarea 31 (lista 1)

Lucrare citata in “Diofantine equation and Arithemtic Function J. Sandor.American Research Press (2002),211 18. Lucrarea 12 ( lista1) Lucrare citata in “Sur les polynômes tels que K[f] est intégrellement fermé dans K[X,Y]”-Mohamed Ayad. Acta Arithmetica 105 nr.1 (2002) 9-26. 19. Lucrarea 12 ( lista1) Lucrare citata in “Factorization over local fields and the irreductibility of generalised difference polynomials”-S.D Cohen, A.Movahhedi,A. Salinier. Mathematika 47(2000), 173-196. 20. Lucrarea 12 ( lista1) Lucrare citata in “Difference polynomials and their generalisation”-Saurabh Bhatia, Sudesh K. Khanduja. Mathematika 48(2001), 293-299. 21. Lucrarea 32 ( lista1) Lucrare citata in “Products of Factorials Modulo p”-F. Luca, P. Stănică. Compos. Math..(2003) 22. Lucrarea 12 ( lista1) Lucrare citata in “Sur les polynomes tels que K[f] est intégralement fermé dans K[X,Y]”-Mohamed Ayad. Acta Arithmetica 105, no.1, 9-26 (2002) 23. Lucrarea 19 ( lista1) Lucrare citata in “A dictionary of inequalities, supplement”-P.S. Bullen. Pitman Monographs and surveys in Pure and Applied Mathematics, (2003) 24. Lucrarea 16 ( lista1) Lucrare citata in “Polynomials, Constructivity and Randomness”- D. Ştefănescu. J. Univ. Comp. Sci., vol.2, Iss.5, (1996) 25. Lucrarea 42 ( lista1) Lucrare citata in “A subaditive property of the Gamma function”-H. Alzer, S. Ruschewezh. Journal of Math. Analzsis and Applications 285/2, 564-577 (2003) 26. Lucrarea 27 (lista 1) 27. Lucrarea 41 (lista 1)

Lucrari citate in “Handbook of Number Theory II” – B. Cristici, J. Sandor. Kluwer Academic Publishers (2004)

28. Lucrarea 32 (lista 1) Lucrae citata in “A modular integer G.C.D. algorithm” – K. Weber, V. Trevisan, L.P.

Martins. Journal of Algorithms vol.54, Issue 2 (2005), 152-167 29. Lucrarea 42 (lista 1) Lucrae citata in “Some examples of classes of monotonic functions II”- H. Alzer, C.

Berg. The Ramanujan Journal (2005) 29. Lucrarea 34 (lista 1) Lucrare citata in “A generalization of a theorem of Schinzel”- G. Rhin. Colloquium

Math 101 (2004) no.2, 155-159 CARTI SI MANUALE 1. Manual de Algebra pentru clasa a IX-a, Editura didactica si pedagogica Bucuresti, 1973 (in colaborare cu Z. Bogdanof si E. Georgescu Buzau). 2. Probleme date la Olimpiadele de matematica, 1968-1974, Editura didactica si pedagogica, 1976, (in colaborare cu C. Ottescu). 3. Polinoame si ecuatii algebrice, Editura Albatros, Bucuresti, 1980 (in colaborare cu I. Draghicescu). 4. Probleme de geometrie rezolvate trigonometric, Editura GIL, 1994 (in colaborare cu M. E. Panaitopol). 5. Probleme calitative de geometrie plana, Editura GIL, 1996 (in colaborare cu M. E. Panaitopol). 6. Inegalitati, Editura GIL, 1996 (in colaborare cu V. Bandila si M. Lascu). 7. Egyenlotlensegek GIL 1996 (versiunea in lb. maghiara a lucrarii 6) 8. Inductia matematica, Editura GIL, 1996, sub (in colaborare cu M. E. Panaitopol si M. Lascu). 9. Subiecte posibile pentru admiterea in invatamantul superior,Ed.Paralela 45,1997 ( in colaborare cu D Branzei si M Becheanu).

10. Teoreme celebre de teoria numerelor, Editura Universitatii,1998, Bucuresti, (in colaborare cu A. Gica). 11. Manual de matematica pentru clasa a IX-a, Ed. GIL,1999,(in colaborare cu B Enescu si M Baluna) 12. Manual de matematica pentru clasa a X-a,Ed.GIL,2000, (in colaborare cu M Baluna). 13. O introducere in Aritmetica si Teoria Numerelor, Ed. Univ. din Bucuresti, 2002 (in colaborare cu A. Gica) 14. Probleme de Teoria Numerelor si Combinatorica pentru juniori, Ed.GIL, 2003 (in colaborare cu D. Serbanescu). 15. Ghid pentru admiterea la facultatea de Matematică şi informatică, Ed. Universităţii din Bucureşti (2003) (în colaborare). 16. Aritmetică şi Teoria Numerelor. Probleme. (cu A. Gica)-sub tipar la Ed. Universităţii din Bucureşti 17. Probleme de aritmetică şi teoria numerelor. Idei şi metode de rezolvare. (cu A. Gica), Ed. GIL, 2006

LUCRARI METODICO-STIINTIFICE

1.Notiunile fundamentale ale matematicii moderne in liceu(I.) G.M.seriaA,No.11(1971),410-416 (in colab.cu D Radu) 2. .Notiunile fundamentale ale matematicii moderne in liceu (II) G.M.seriaA,No.12,(1971).451-458 (in colab.cu D Radu). 3.Generalizarea inegalitatii lui Bonsse G.M.A nr.6,(1971) 100-102 Zbl.Math.225.10045 4.O incercare de problematizare in predarea aritmeticii. G.M.seriaA,No.3,(1972),238-242( in colab. cu Gh. Tomsa) 5.Cum am rezolvat o problema G.M.seriaA,No 1(1973),31-33 6. Predarea inecuatiilor la clasa a-IX-a G.M.seriaA,No.5 (1973),184-187. 7.Asupra sirului diferentelor numerelor prime G.M.A.nr.6,(1974) 238-242 Zbl.Math.283.10023

8.De la probleme cunoscute la probleme noi Vol .5 al Soc. Mat.RSR,Bucuresti (1977),359-437,(in colab. cu E Georgescu-Buzau) 9.Asupra unei inegalitati geometrice G.M.seria B,No.7(1981)

10. O inegalitate geometrica. Gazeta Matematica 87 No.4,(1982) ,113-115,MR.83k51033

11.Functia de gradul al doilea

G.M.seria B,No.1(1983)

12 Radicali G.M.seria B,No.3(1983) 13. Ecuatii irationale

G.M.seria B,No.4(1983)

14. Probleme de geometrie rezolvate trigonometric G.M.seria B,No.6(1983) 15. Permutari,aranjamente,combinari G.M.seria B,No.9(1983) 16.Binomul lui Newton G.M.seria B,No.2(1984) 17.O rafinare a formulei lui Stirling G.M.seria B,No.9(1985) 18. Schoenemann criterion of irreducibility of polynomials G.M.A nr.6,(1985),143-145 (in colab.cu D Stefanescu). Zbl.Math.614-12001. 19.An irreductibility criteria for polynomials, Abstr.Amer.Math.Soc.Vol.7/226,(1986)(colab.cu D Stefanescu) 20.Cateva aplicatii ale teoremei lui Cauchy. G.M.seria B,No.4(1987) 21.Factorization of the Schonemann polynomials Abstr.Amer.Math.Soc Vol.8,No.2,(1987),261)(colab.cu D Stefanescu) 22.Contest problems and mathematical creation. Mathematics Competitions,Vol.4,No.2(1991),Univ.of Camberra, )(colab.cu D Stefanescu) 23.Criteriul lui Perron de ireductibilitate a polinoamelor cu coeficienti intregi. G.M.seria B,XCVIII No.10(1993) 24.Concursul de Admitere de la Facultatea de Matematica a Univ.Bucuresti 1993

G.M.seria B,XCVIII No.10(1993)344-349(colab. cu M Becheanu) 25.Concursul de Admitere de la Facultatea de Matematica a Univ.Bucuresti 1994 G.M.seria B,XCVIII No.1(1995)13-19(colab. cu M Becheanu) 26.Rezolvarea ecuatiei x + y = 1+ xy, in numere positive. G.M seria B, C No.9(1995) 27.Concursul de Admitere de la Facultatea de Matematica a Univ.Bucuresti 1996 G.M.seria B,XCVIII No.9(1996)408-417(colab. cu M Becheanu) 28.O generalizare a sirurilor monotone G.M seria B, CI No.9 (1996) 29.O clasa de numere prime. Gazeta Matematica(serie pentru informare stiintifica si perfectionare metodica) XV nr.2,1997, 108- 110.Zbl.Math 99163525

30. Despre inegalitatea n

n nppp >...21 . Gazeta Matematica(serie pentru informare stiintifica si perfectionare metodica) XVI nr.3, (1998), 181-189.Zbl.Math 99163524 31. Asupra ecuatiei τ (n )=kτ(n ) Revista de Matematica din Timisoara,anul V.(seria 4),3-4(2000)1-3 32. Cateva proprietati ale numerelor triunghiulare Gazeta Matematica seria metodica,no.3(2000)213-216 33.Generalizarea unei inegalitati al lui Cebasev si cateva aplicatii Gazeta Matematica seria metodica,no.4(2000)324-327 34.Functia de distributie a numerelor prime Lucrarile Seminarului de creativitate matematica Univ Baia Mare vol.9(1999-2000)105-108 35 O aplicatie a inegalitatii lui Abel Lucrarile Seminarului de creativitate matematica Univ Baia Mare vol.9(1999-2000) 109-113 (colab. cu M.E Panaitopol) 36. O inegalitate in triunghi GMB no4(2001), 146-148 37. Numere tetraedrale GMA ( XIX) no 2(2001) 94-97 38. Aplicatii ale teoremei celor trei patrate Revista de matematica din Timisoara VII(4) no 1(2002),3-5

39. Despre o problema de aritmetica GMA (XIX) no 3(2001) 154-157( colab cu ME Panaitopol) 40. Consecinte ale inegalitatii lui Holder GMB no4(2002) 145-147 41. Medii de numere prime GMA ( XX) no 1(2002) 22-25 42. O demonstratie a inegalitatii lui Durrande GMB 5-6(2002) 195-196 43. O aplicaţie a teoremei elementului prim GMA no.2, 113-115(2003)(cu A. Gica) 44. O aplicaţie a teoremei lui Catalan. GMB no.1, 1-3(2004)(cu M. Pârvulescu) 45. Probleme rezolvate cu ajutorul ecuaţiilor de tip Pell. GMA no21, (2004)