Analytic number theory

Results: 1184



#Item
701Analytic 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

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

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Source URL: www.math.tifr.res.in

Language: English - Date: 2007-10-08 05:53:19
702Prime-counting function / Pi / Algorithm / Mathematical optimization / Computational complexity theory / Mathematical analysis / Mathematics / Analytic number theory

Taming the Monster: A Fast and Simple Algorithm for Contextual Bandits Alekh Agarwal Microsoft Research, New York, NY ALEKHA @ MICROSOFT. COM

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Source URL: jmlr.org

Language: English - Date: 2014-06-18 10:58:08
703Modular forms / Galois theory / Algebraic number theory / Character theory / J-invariant / Frobenius endomorphism / Elliptic curve / Representation theory of finite groups / Orbifold / Abstract algebra / Mathematical analysis / Analytic number theory

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 14, Number 4, Pages 843–939 S[removed][removed]Article electronically published on May 15, 2001

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Source URL: math.stanford.edu

Language: English - Date: 2002-05-08 14:25:18
704Algebraic number theory / Finite fields / Elliptic curves / Group theory / Analytic number theory / Supersingular elliptic curve / Supersingular prime / Prime number / Algebraic number field / Abstract algebra / Mathematics / Algebra

COMPLEX MULTIPLICATION TESTS FOR ELLIPTIC CURVES DENIS XAVIER CHARLES Abstract. We consider the problem of checking whether an elliptic curve defined over a given number field has complex multiplication. We study two pol

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Source URL: pages.cs.wisc.edu

Language: English - Date: 2005-01-31 13:27:04
705Integer 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

An Elementary Problem Equivalent to the Riemann Hypothesis Jeffrey C. Lagarias arXiv:math/0008177v2 [math.NT] 6 May[removed]May 5, 2001 version)

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Source URL: arxiv.org

Language: English - Date: 2008-02-01 01:10:59
706Analytic number theory / Arithmetic function / Elliptic functions / Randomized algorithm / Expectation–maximization algorithm / Euclidean algorithm / Mathematical analysis / Mathematics / Modular forms

COMPUTING THE RAMANUJAN TAU FUNCTION DENIS XAVIER CHARLES We show that the Ramanujan Tau function τ(n) can be computed by a randomized algorithm 1 that runs in time O(n 2 + ) for every  > 0 under GRH. The same method

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Source URL: pages.cs.wisc.edu

Language: English - Date: 2009-07-16 15:38:35
707Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: modular.math.washington.edu

Language: English - Date: 2013-04-04 22:09:51
708Complex analysis / Partial differential equations / Analytic number theory / Riemann mapping theorem / Cauchy–Riemann equations / Analytic continuation / Augustin-Louis Cauchy / Conformal map / Riemann zeta function / Mathematical analysis / Meromorphic functions / Analytic functions

Complex Variables by Robert B. Ash and W.P. Novinger Table Of Contents Chapter 1: Introduction[removed]

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Source URL: www.math.uiuc.edu

Language: English - Date: 2007-07-02 11:50:33
709Equations / Mosaic / Symmetry / Tessellation / Number theory / Cauchy–Riemann equations / Analytic number theory / Theorem / Complex analysis / Mathematics / Logic / Mathematical analysis

Complex Variables by R. B. Ash and W.P. Novinger Preface This book represents a substantial revision of the first edition which was published in[removed]Most of the topics of the original edition have been retained, but i

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Source URL: www.math.uiuc.edu

Language: English - Date: 2004-07-21 12:21:53
710Analytic 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

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

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Source URL: www.math.uiuc.edu

Language: English - Date: 2007-06-22 13:40:54
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