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Prime number theorem
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171	Breakthrough in the theory of numbers! Mathematician Logman Shykhaliev made sensational discovery in the sphere of primes distribution. Deduced by him theorem about distribution of primes reveals centuries-old mystery of Add to Reading List Source URL: logman-logman.narod.ru Language: English - Date: 2013-04-02 19:16:10 Prime number Number theory Number Mathematician Mathematical proof Theorem Mathematics Logic Mathematical logic
172	THE NUMBER OF PRIME DIVISORS OF A PRODUCT OF CONSECUTIVE INTEGERS R. BALASUBRAMANIAN, SHANTA LAISHRAM, T. N. SHOREY, AND R. THANGADURAI Abstract. It is shown under Schinzel’s Hypothesis that for a given ` ≥ 1, there Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-12-29 04:12:04 Number theory Coprime Chinese remainder theorem Prime number Arithmetic function Euclidean algorithm Mathematics Modular arithmetic Abstract algebra
173	Theorems of Sylvester and Schur T.N. Shorey An old theorem of Sylvester states that a product of k consecutive positive integers each exceeding k is divisible by a prime greater than k. We shall Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2007-07-25 06:46:24 Algebraic number theory Newton polygon Commutative algebra Localization Measure theory Valuation ring Radon–Nikodym theorem Abstract algebra Algebra Mathematics
174	SOME TOPICS IN PRIME NUMBER THEORY T. N. SHOREY Definition. An integer P is called prime if (i) p > 1 (ii) p has no divisor other than 1 and itself Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2007-10-08 05:53:19 Analytic number theory Prime numbers Prime number theorem Prime number Riemann hypothesis Prime-counting function Riemann zeta function Twin prime Primes in arithmetic progression Mathematics Number theory Mathematical analysis
175	An Elementary Problem Equivalent to the Riemann Hypothesis Jeffrey C. Lagarias arXiv:math/0008177v2 [math.NT] 6 May[removed]May 5, 2001 version) Add to Reading List Source URL: arxiv.org Language: English - Date: 2008-02-01 01:10:59 Integer sequences Analytic number theory Divisor function Conjectures Colossally abundant number Superabundant number Riemann hypothesis Riemann zeta function Prime number theorem Mathematics Mathematical analysis Number theory
176	Chapter 7 The Prime Number Theorem In this ﬁnal chapter we will take advantage of an opportunity to apply many of the ideas and results from earlier chapters in order to give an analytic proof of the famous prime numb Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-22 13:40:54 Analytic number theory Prime number theorem Riemann zeta function Riemann hypothesis Prime-counting function Logarithm Prime number Chebyshev function Gamma function Mathematical analysis Mathematics Number theory
177	Where does Combinatorial Analysis fit in? David Bressoud Macalester College (1) What’s in chapter CM (2) My favorite bits of Combinatorial Analysis Add to Reading List Source URL: www.ima.umn.edu Language: English - Date: 2002-07-19 10:05:01 Number theory Enumerative combinatorics Partition Binomial coefficient Prime number Catalan number Multinomial theorem Factorial Number Mathematics Integer sequences Combinatorics
178	Complexity of the (Eﬀective) Chinese Remainder Theorem This is an alternate derivation of the time complexity of the eﬀective Chinese remainder theorem (CRT). The CRT allowed us to take a system of k congruences o Add to Reading List Source URL: www.untruth.org Language: English - Date: 2014-03-18 20:21:07 Factorial International Securities Identification Number Summation Prime number Mathematics Integer sequences .ni
179	A Study of Kummer’s Proof of Fermat’s Last Theorem for Regular Primes MANJIL P. SAIKIA1 MATS137 Summer Project under Prof. Kapil Hari Paranjape. Abstract. We study Kummer’s approach towards proving the Fermat’s l Add to Reading List Source URL: www.manjilsaikia.in Language: English - Date: 2013-04-01 06:22:17 Algebraic number theory Algebraic number field Ideal class group Root of unity Frobenius endomorphism Cyclotomic field Dirichlet L-function Bernoulli number Prime number Abstract algebra Mathematics Algebra
180	ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 13:39:15 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Barry Mazur Prime number Abstract algebra Mathematics Number theory

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