LISTA 1 LUCRARI STIINTIFICE
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1 LISTA 1 LUCRARI STIINTIFICE 1. Eine Eigenschaft der Funktionen uber die Verteilung der Primzahlen. Bull.Math.Soc. Sci.Math.Romania Ser.23(71),No.2(1979), Zbl.Math Uber einige arithmetische Funktionen. Bull.Math.Soc. Sci.Math.Romania Ser.26(74),No.3(1982), ,Zbl.Math 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: A class of irreducible polynomials. Bull.Coll.Sci.Univ.Ryukyus-Japan 42.(1986), 1-3, (in colab.cu D Stefanescu). Zbl.Math , 5. On some irreducible polynomials. Bull.Math.Soc. Sci.Math.Romania Ser.30(78)No 3(1986) , (in colab.cu D Stefanescu). Zbl.Math A generalization of the Schoenemann-Eisenstein irreducibility criterion. Prepr. Babes-Bolyai Univ.,Fac. Math. Phys.,Res.Semin.No.9,(1986) (in colab.cu D Stefanescu). Zbl.Math A resultant condition for the irreducibility of the polynomials. J.Number Theory 25 (1987), , (in colab.cu D Stefanescu). Zbl.Math On Scherk s theorem. Bull.Math.Soc. Sci.Math.Romania Ser. 31(79), (1987), Zbl.Math On the Eisenstein s criterion. An Univ. Buc.,Ser. Math. 36,(1987),65-67(in colab.cu D Stefanescu). Zbl. Math Factorization criteria for polynomials. Proc. Conf. Algebra Timisoara,(1987) (in colab.cu D Stefanescu). M.R. 90 a Factorization of the Schoenemann polynomials. Bull.Math.Soc. Sci.Math.Romania Ser.32(80), No.3,(1988), , (in colab.cu D Stefanescu). Zbl.Math
2 12.On the generalized difference polynomials, Pac.J.Math.143,No.2,(1990) (in colab.cu D Stefanescu). Zbl.Math A class of polynomials in positive characteristic. Bull.Math.Soc. Sci.Math.Romania Ser. 33(81), No.4,(1989) (in colab.cu D Stefanescu). Zbl.Math About the exponent of an irreducible polynomial. Bull.Math.Soc. Sci.Math.Romania Ser.35(83),No.1/2,(1991) , (in colab.cu D Stefanescu). Zbl.Math 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 Some polynomial factorisations over the integers. Bull.Math.Soc. Sci.Math.Romania Ser. 37,No.3-4,(1993) (in colab.cu D Stefanescu). Zbl.Math 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 Bounds for heigts of integer polynomial factors. J Univ. Comp. Sci. 1 Nr , (in colab.cu D Stefanescu).(1995) M.R.97d Several approximation of π (x) Math.Inequal.Appl.2 No.3, ,(1999) Zbl. Math 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 On the inequality pa pb >pab Bull.Math.Soc. Sci.Math Roumanie Tome 41(89) No.2,(1998) Zbl.Math On the inequality π (x) >x/ log x-1. Analele Univ. Bucuresti,seria Matematica,XLVII no.2 (1998), Zbl.Math Strong Bertrad s postulate revisited. Notes on Number Theory and Discret Mathematics 5,(1999),No.3, MR An inequality concerning the prime numbers. Notes on Number Theory and Discret Mathematics 5,(1999),No.2,52-54,MR Erdos-Turan problem for prime numbers in arithmetic progression. Math Reports Vol.1(51) No.4,(1999) MR d: 11112
3 26. Properties of positive integer sequences which are sum of two squares. Bull.Math.Soc. Sci.Math Roumanie Tome 42(90), No.2(1999).p Zbl.Math Asymptotical formulae for a(n)= n-ϕ(n). Bull.Math.Soc. Sci.Math Roumanie Tome 42(90). No.3 (1999), Zbl.Math On Erdos-Prachar Theorem. Analele Univ. Bucuresti,seria Matematica,XLVIII,p , No.2,(1999).p Zbl.Math On a squarefree integers Bull.Math.Soc.Sci.Math.Roumanie Tome 43(91) No.1(2000), MR 2002 k: A formula for π(x) applied to a result of Koninck-Ivic, Nieuw Archiev voor Wiskunde vij serie nr.1, (2000),p MR On a problem of Erdös-Turan, Publicationes Mathematicae Debrecen (57/ 1-2( 2000), MR Inequalities concerning the function π(x).applications. Acta Arithmetica XCIV.4 (2000), MR Zbl.Math 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 Minorations pour les measures de Mahler de certains polynomes particuliers. Journal de Theorie des Nombres de Bordeaux,12,(2000), MR 2002 b: Properties of the function γ(n). Publications du Centre de Recherches en Matematique pures Neuchâtel, 1,(32)(2001)25-31 serie 36. Asymptotic formulas involving π(x). Bull.Math.Soc.Sci.Math.Roumanie,Tome 43.no.2,(2000) MR 2002 k: On a theorem of Edmund Landau. Analele Univ.Buc.seria Matematica,XLIX,No.1(2000)67-72 MR 1898 : On inequality related to Hardy-Littlewood s conjecture Analele Univ.Buc.seria Matematica,XLIX,No.2(2000) MR 1898: 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
4 40.On some properties of the π*(x)- π(x) function. Notes on Number Theory and Discret Mathematics 6,(2000),No.1,23-27.MR On some properties concerning the function a(n)=n-ϕ(n) Bulletin of the Greek Math.Society,Vol 45 (2001),71-77.MR (2003k:11008) 42.An Inequality involving the Prime Numbers. Publications of the Faculty Electrical Engineering Belgrad 11(2001),33-35 MR 2002 g: Inequalities involving prime numbers Math.Reports Vol.3(53),No.3(2001) Mr (2003g:11008) 44 Some of the properties of the sequence of powers of prime numbers. The Rocky Mountain Journal of Mathematics 31, No.4, (2001) MR 2002 k: On the equation n-ϕ (n)=m. Bull. Math. Soc. Sci. Math. Roumanie Tome 44 (92).No.1, (2001) 46. Some properties of Liouville s function. Bull. Math. Soc. Sci. Math. Roumanie 44 (92).No.4, (2001) 47. Checking of the Hardy-Littlewood s conjecture in specials cases. Revue Romaine de Mathematique Pures.et Appl. No.4 (2001) MR Inequalities involving the sequence of composed numbers Publications du Centre de Recherches en Matematique pures Neuchâtel, 1(2002)19-25 serie 1,(33)No 49.Some generalizations for a theorem by Landau Math.Inequalities & Appl.(Zagreb)4 no (2001) MR 2002 l: Generalizations for Landau s Theorem Analele Univ. Buc.Seria Matematica (LI) No.1, (2002) 51. Some properties of the series of composite numbers JIPAM (Melbourne) 2 no 3 Article 38 ( (2002) MR 2002 j Consequences of a theoreme of Erdos-Prachar JIPAM (Melbourne) 2 no 3 Article 35 ( MR 2002 j On the sequence (( pn) 2 pn-1p n+1) JIPAM (Melbourne) 3 no 4 Article 53( (2002)
5 54. A special case of the Hardy-Littlewood conjecture Math Reports 4(54) no 3, (2002) 55. The sequence of the powers of prime numbers revised Math Reports 5(55) no 1, (2003) 56. On the sequence of the powers of prime numbers Analele Univ. Buc. (LI) No 2, (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 Intervals containing prime numbers Notes on Number Theory and Discrete Mathematics vol.8, no4, (2002) 59. Erdös-Turán type inequalities JIPAM (Melbourne) 4 no1 Article 23 ( MR 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, (2003) (cu A. Gica) 62. On the representation of natural numbers as sums of squares Amer. Math. Monthly vol. 112, no.2, (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, (2004) 64. Additive properties for the sequence (r n ) n=1 Analele Univ. Buc., vol.52, Nr.1, (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, (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 ( (cu D. Stefanescu)
6 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), (cu G. Mincu) 71. On a problem of Brocard. Bull. of London Math. Soc. 37 (2005) (cu A. Gica) 72. On a sequence related to powerful numbers. Analele Univ. Buc. No. 2 (2005) (cu G. Mincu) 73. On some properties of squarefree and squareful numbers. Bull. Math. Soc. Sci. Math Roumanie tome 49(97) no.1 (2006), (cu G. Mincu) 74. Polynomial Factorization. Bull. Math. Soc. Sci. Math Roumanie tome 49(97) no.1 (2006), (cu D. Stefanescu) 75. A minimum problem. Mathematical reflections, University of Texas, Issue 6 (2006) 76. Equations involving arithmetic functions Carpathian Journal of Mathematics vol. 2 no. 1-2 (2006), (cu G. Mincu) 77. Properties of a sequence generated by positive integers. Bull. Math. Soc. Sci. Math. Roumanie, tome 50(98) no. 2 (2007), (cu V. Copil) 78. A sequence attached to powerful numbers. Bull. Math. Soc. Sci. Math. Roumanie, tome 50(98) no. 3 (2007), (cu V. Copil) 79. Properties of some functions connected to prime numbers. JIPAM, Vol. 9, Issue 1 (2008) (cu G. Mincu) 80. Properties of non powerful numbers. JIPAM, Vol. 9, Issue 1, (2008) (cu V. Copil) LUCRARI ACCEPTATE PTR PUBLICARE 81. On the quotient of the consecutive primes Mathematica Moravica () 82. Series involving the least and the greatest prime factor of a natural number MIA () (cu G. Mititica) 83. Some properties of the sequence of prime numbers. AADM (2008) (cu V.Copil)
SOME PÓLYA-TYPE IRREDUCIBILITY CRITERIA FOR MULTIVARIATE POLYNOMIALS NICOLAE CIPRIAN BONCIOCAT, YANN BUGEAUD, MIHAI CIPU, AND MAURICE MIGNOTTE
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