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Analytic number theory
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#	Item
751	arXiv:1208.3429v1 [math.CV] 15 Aug[removed]Integral and Series Representations of Riemann’s Zeta function, Dirichelet’s Eta Function and a Medley of Related Results Michael S. Milgram ∗ Add to Reading List Source URL: arxiv.org Language: English - Date: 2012-08-16 20:17:18 Trigonometry Riemann zeta function Dirichlet eta function Riemann hypothesis Inverse trigonometric functions Hurwitz zeta function Pi Bernoulli number Polylogarithm Mathematical analysis Mathematics Analytic number theory
752	DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:48 Linear algebra Analytic number theory Quadratic forms Algebraic number theory Real algebraic geometry Elliptic curve Symbol Symplectic vector space Algebraic number field Algebra Abstract algebra Mathematics
753	How Explicit is the Explicit Formula? my co-author William Stein and I asked To play with this, it occurred to us to experiment with the Oscillatory term in the Explicit Formula of analytic number theory: Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-03-04 11:00:13 Digital signal processing Fourier analysis Joseph Fourier Explicit formula Riemann hypothesis Mathematical analysis Mathematics Integral transforms
754	c Proceedings of the Edinburgh Mathematical Society[removed], 171–180 DOI:[removed]S0013091507000665 Printed in the United Kingdom MULTIPLICITY THEOREMS FOR SEMILINEAR ELLIPTIC Add to Reading List Source URL: adatbank.transindex.ro Language: English - Date: 2010-02-16 17:23:42 Analytic number theory Linear algebra Matrix theory Elliptic curve Group theory Eigenvalues and eigenvectors Spectral theory of ordinary differential equations Algebra Mathematics Spectral theory
755	Elliptic curves, their companions, and their statistics Barry Mazur What is the probability that a cubic plane curve with rational coefficients has infinitely many rational points? Questions of this type (more exactly fo Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:46 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Arithmetic of abelian varieties Curve Abstract algebra Mathematics Algebraic geometry
756	Last modified: Jan. 5, 2005. OPEN CONJECTURES ON THE THREE TOPICS Zhi-Wei Sun Department of Mathematics Nanjing University Add to Reading List Source URL: math.nju.edu.cn Language: English - Date: 2014-06-05 01:00:41 Number theory Additive number theory Analytic number theory Restricted sumset Covering system Hodge conjecture Lonely runner conjecture Mathematics Conjectures Mathematical analysis
757	SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2012-03-09 13:52:58 Analytic number theory Elliptic curve Group theory
758	How explicit is the Explicit Formula? Barry Mazur and William Stein March 21, 2013 (Notes for our 20+20 minute talk at the AMS Special Session on Arithmetic Statistics in San Diego, January 2013) Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-03-21 16:40:51 Analytic number theory Elliptic curve Explicit formula Prime-counting function Prime number Supersingular elliptic curve Logarithm Supersingular prime Chebyshev function Mathematics Mathematical analysis Number theory
759	Lectures on the Dirichlet Class Number Formula for Imaginary Quadratic Fields Tom Weston Contents Introduction Add to Reading List Source URL: www.pdmi.ras.ru Language: English - Date: 2012-11-14 12:08:50 Analytic geometry Lattice Symbol Lie algebras Theorems and definitions in linear algebra Exterior algebra Abstract algebra Group theory Lie groups
760	NOTES RELATING TO NEWTON SERIES FOR THE RIEMANN ZETA FUNCTION LINAS VEPSTAS A BSTRACT. This paper consists of the extended working notes and observations made during the development of a joint paper[?] with Philippe Flaj Add to Reading List Source URL: www.linas.org Language: English - Date: 2006-11-14 11:07:30 Analytic number theory Mathematical constants Integer sequences Meromorphic functions Riemann zeta function Polylogarithm Harmonic number Gamma function Factorial Mathematical analysis Mathematics Number theory

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