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Abstract: this paper we are interested in the distribution of prime numbers in M, where M # N is a given infinite set. This is a fundamental question, and it has been analyzed by some of the greatest mathematicians of all time, such as Euclid, Euler, Gauss, Dirichlet, Chebyshev, Riemann, Landau, Wiener, Hardy, Erdos, and many more. Their e#orts gave birth to many new important mathematical ideas, e.g. analytic number theory, Riemann zeta function, and tauberian theorems. To make the problem concrete,... (Update)
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BibTeX entry: (Update)
@misc{ kolev-number,
author = "Tzanio V. Kolev",
title = "On the Number of Prime Numbers less than a Given Quantity",
url = "citeseer.ist.psu.edu/kolev00number.html" }
Citations (may not include all citations):439 An Introduction to the Theory of Numbers (context) - Hardy, Wright - 1979
104 Introduction to Analytic Number Theory (context) - Apostol - 1976
51 London Math (context) - Skewes, Di and et al. - 1933
51 London Math (context) - Skewes, Di and et al. - 1955
13 Prime Numbers (context) - Ellison, Ellison - 1985
12 Computational Recreations in Mathematica (context) - Vardi - 1991
11 Ramanujan: Twelve Lectures on Subjects Suggested by His Life.. (context) - Hardy - 1999
8 An Introduction to the Analytic Theory of Numbers (context) - Ayoub - 1963
7 Infinite Sequences and Series (context) - Knopp - 1956
6 Uber die Anzahl der Primzahlen unter einer gegebenen Grosse (context) - Riemann
5 Memoire sur les nombres premiers (context) - Chebyshev
5 erences between Consecutive Primes (context) - Huxley, Di - 1977
4 Analytic Number Theory (context) - Newman - 1999
3 An Elementary Proof of the Prime Number Theorem (context) - Selberg - 1949
3 The Riemann Zeta-Function (context) - Karatsuba, Voronin - 1992
2 Function Theory of One Complex Variable (context) - Greene, Krantz - 1997
2 a New Method in Elementary Number Theory which Leads to an E.. (context) - Erdos - 1949
2 Simple Analytic Proof of the Prime Number Theorem (context) - Newman - 1980
2 A Motivated Account of an Elementary Proof of the Prime Numb.. (context) - Levinson - 1969
2 Essai sur la theorie de Nombres (context) - Legendre
2 Tauberian Theorems (context) - Wiener - 1932
2 Essai sur la theorie de Nombres (context) - Legendre
1 the Zeros of the Riemann Zeta Function in the Critical Strip.. (context) - Lune, Riele et al. - 1986
1 A Short Proof of Chebyshev's Theorem (context) - Pereira - 1985
1 Recherches analytiques sur la theorie des nombres premiers (context) - Vallee
1 Tafel der Frequenz der Primzahlen (context) - Gauss
1 An Elementary Proof of the Dirichlet's Theorem about Primes .. (context) - Selberg - 1949
1 est convergente ou finie (context) - Brun, serie - 1919
1 A History of the Prime Number Theorem (context) - Goldstein - 1973
1 Sur la fonction qui determine la totalite de nombres premier.. (context) - Chebyshev
1 Sur la distribution des zeros de la fonction (context) - Hadamard
1 Uber den Satz: das jede unbegrenzte arithmetische Progressio.. (context) - Dirichlet
1 Les nombres remarquables (context) - Le Lionnais - 1983
1 Sur les Distribution des Nombres Premiers (context) - Littlewood - 1914
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http://www.utm.edu/research/primes/largest.html
Documents on the same site (http://www.math.tamu.edu/~tkolev/resume_ext.html):
Flows in Porous Media - Kolev (2000) (Correct)
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