Lichtman, Jared Duker; Martin, Greg; Pomerance, Carl Primes in prime number races. (English) Zbl 07102537 Proc. Am. Math. Soc. 147, No. 9, 3743-3757 (2019). MSC: 11A05 11N05 11B83 11M26 PDF BibTeX XML Cite \textit{J. D. Lichtman} et al., Proc. Am. Math. Soc. 147, No. 9, 3743--3757 (2019; Zbl 07102537) Full Text: DOI
Shubin, Andrei V. Asymptotic behavior of functions \(\Omega(k;n)\) and \(\omega(k;n)\) related to the number of prime divisors. (English. Russian original) Zbl 07101233 Discrete Math. Appl. 29, No. 2, 121-129 (2019); translation from Diskretn. Mat. 29, No. 3, 133-143 (2017). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{A. V. Shubin}, Discrete Math. Appl. 29, No. 2, 121--129 (2019; Zbl 07101233); translation from Diskretn. Mat. 29, No. 3, 133--143 (2017) Full Text: DOI
Jones, Rafe The density of prime divisors in the arithmetic dynamics of quadratic polynomials. (English) Zbl 1193.37144 J. Lond. Math. Soc., II. Ser. 78, No. 2, 523-544 (2008). Reviewer: Pieter Moree (Bonn) MSC: 37P05 11B37 37E99 60G42 PDF BibTeX XML Cite \textit{R. Jones}, J. Lond. Math. Soc., II. Ser. 78, No. 2, 523--544 (2008; Zbl 1193.37144) Full Text: DOI arXiv
Murty, M. Ram; Thain, Nithum Prime numbers in certain arithmetic progressions. (English) Zbl 1196.11011 Funct. Approximatio, Comment. Math. 35, 249-259 (2006). MSC: 11A41 11C08 11R04 11R18 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{N. Thain}, Funct. Approximatio, Comment. Math. 35, 249--259 (2006; Zbl 1196.11011) Full Text: DOI Euclid
Shparlinski, I. E. Prime divisors of sparse integers. (English) Zbl 1049.11010 Period. Math. Hung. 46, No. 2, 215-222 (2003). Reviewer: Alain Plagne (Palaiseau) MSC: 11B05 11N56 11L07 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Period. Math. Hung. 46, No. 2, 215--222 (2003; Zbl 1049.11010) Full Text: DOI
Nathanson, Melvyn B. Elementary methods in number theory. (English) Zbl 0953.11002 Graduate Texts in Mathematics. 195. New York, NY: Springer. xviii, 513 p. (2000). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11-01 11Axx 11Nxx 11Pxx 11Mxx 11Dxx PDF BibTeX XML Cite \textit{M. B. Nathanson}, Elementary methods in number theory. New York, NY: Springer (2000; Zbl 0953.11002) Full Text: DOI
Ballot, Christian The density of primes \(P\), such that \(-1\) is a residue modulo \(P\) of two consecutive Fibonacci numbers, is \(2/3\). (English) Zbl 0979.11007 Rocky Mt. J. Math. 29, No. 3, 749-761 (1999). Reviewer: Peter Kiss (Eger) MSC: 11B37 11B05 11B83 11B39 PDF BibTeX XML Cite \textit{C. Ballot}, Rocky Mt. J. Math. 29, No. 3, 749--761 (1999; Zbl 0979.11007) Full Text: DOI Link
Ballot, Christian Strong arithmetic properties of the integral solutions of \(X^3+DY^3+D^2Z^3-3DXYZ=1\), where \(D=M^3\pm 1\), \(M\in\mathbb{Z}\). (English) Zbl 0932.11010 Acta Arith. 89, No. 3, 259-277 (1999). Reviewer: Pieter Moree (Berkel EN Radeivrijs) MSC: 11B37 11B05 11B83 PDF BibTeX XML Cite \textit{C. Ballot}, Acta Arith. 89, No. 3, 259--277 (1999; Zbl 0932.11010) Full Text: DOI EuDML
Ballot, Christian Density of prime divisors of linear recurrences. (English) Zbl 0827.11006 Mem. Am. Math. Soc. 551, 102 p. (1995). Reviewer: Péter Kiss (Eger) MSC: 11B37 11B05 11-02 11B83 PDF BibTeX XML Cite \textit{C. Ballot}, Density of prime divisors of linear recurrences. Providence, RI: American Mathematical Society (AMS) (1995; Zbl 0827.11006) Full Text: DOI
Galambos, János Extensions of some extremal properties of prime divisors to Poisson limit theorems. (English) Zbl 0791.11052 Knopp, Marvin (ed.) et al., A tribute to Emil Grosswald: number theory and related analysis. Providence, RI: American Mathematical Society. Contemp. Math. 143, 363-369 (1993). Reviewer: E.J.Scourfield (Egham) MSC: 11N37 11N64 11N60 11K65 PDF BibTeX XML Cite \textit{J. Galambos}, Contemp. Math. 143, 363--369 (1993; Zbl 0791.11052)
Ruzsa, Imre Z. Arithmetical topology. (English) Zbl 0704.11004 Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 473-504 (1990). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11B05 11B34 11K99 22A05 PDF BibTeX XML
Erdős, Paul; Tenenbaum, G. On densities of certain sequences of integers. (Sur les densités de certaines suites d’entiers.) (French) Zbl 0694.10040 Proc. Lond. Math. Soc., III. Ser. 59, No. 3, 417-438 (1989). Reviewer: E.J.Scourfield MSC: 11N05 11N37 11B83 11K65 PDF BibTeX XML Cite \textit{P. Erdős} and \textit{G. Tenenbaum}, Proc. Lond. Math. Soc. (3) 59, No. 3, 417--438 (1989; Zbl 0694.10040) Full Text: DOI
Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L. Prime factors of binomial coefficients and related problems. (English) Zbl 0669.10011 Acta Arith. 49, No. 5, 507-523 (1988). Reviewer: H.J.J.te Riele MSC: 11A41 11B39 05A10 11A05 PDF BibTeX XML Cite \textit{P. Erdős} et al., Acta Arith. 49, No. 5, 507--523 (1988; Zbl 0669.10011) Full Text: DOI EuDML
Fried, M. The nonregular analogue of Tchebotarev’s theorem. (English) Zbl 0551.12009 Pac. J. Math. 112, 303-311 (1984). Reviewer: G.Frey MSC: 11R45 11R58 11R09 12F99 PDF BibTeX XML Cite \textit{M. Fried}, Pac. J. Math. 112, 303--311 (1984; Zbl 0551.12009) Full Text: DOI
Lloyd, Stuart P. Ordered prime divisors of a random integer. (English) Zbl 0551.10042 Ann. Probab. 12, 1205-1212 (1984). Reviewer: J.Galambos MSC: 11K99 11B83 11N05 PDF BibTeX XML Cite \textit{S. P. Lloyd}, Ann. Probab. 12, 1205--1212 (1984; Zbl 0551.10042) Full Text: DOI
Morton, Patrick The quadratic number fields with cyclic 2-classgroups. (English) Zbl 0529.12004 Pac. J. Math. 108, 165-175 (1983). MSC: 11R11 11R23 11R45 PDF BibTeX XML Cite \textit{P. Morton}, Pac. J. Math. 108, 165--175 (1983; Zbl 0529.12004) Full Text: DOI
Bilhan, Mehpare Théoreme de Bauer dans les corps globaux. (French) Zbl 0477.12016 Bull. Sci. Math., II. Ser. 105, 299-303 (1981). MSC: 11R45 11R32 PDF BibTeX XML Cite \textit{M. Bilhan}, Bull. Sci. Math., II. Sér. 105, 299--303 (1981; Zbl 0477.12016)