Abstract analytic number theory

Results: 558



#Item
71Analytic number theory / Elliptic curve / Algebra / Quadratic forms / Riemann surfaces / Algebraic curves / Abstract algebra / Group theory / Mathematics

A little bit of number theory In the following few pages, several arithmetical theorems are stated. They are meant as a sample. Some are old, some are new. The point is that one now knows, for the reasons stated below, t

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Source URL: www.sunsite.ubc.ca

Language: English - Date: 2001-05-12 20:18:06
72Modular forms / Q-analogs / Analytic functions / Factorial / Number theory / Theta function / Proof that π is irrational / Random permutation statistics / Mathematics / Mathematical analysis / Combinatorics

A STANDARD ZERO FREE REGION FOR RANKIN SELBERG L-FUNCTIONS Dorian Goldfeld, Xiaoqing Li Abstract. A standard zero free region is obtained for Rankin Selberg L-functions L(s, f ×f ) where f is a tempered Maass form on GL

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Source URL: www.math.columbia.edu

Language: English - Date: 2015-01-24 21:51:00
73Finite fields / Conjectures / Algebraic curves / Analytic number theory / Elliptic curve / Group theory / Sato–Tate conjecture / Hyperelliptic curve / Curve / Abstract algebra / Geometry / Mathematics

Counting points on smooth plane quartics David Harvey University of New South Wales Number Theory Down Under, University of Newcastle 25th October 2014

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2014-10-25 21:41:45
74Field theory / Analytic number theory / PARI/GP / Portable software / Elliptic curve / Quadratic form / Prime number / C / Number theory / Mathematics / Abstract algebra / Algebra

User’s Guide to the PARI library (versionThe PARI Group

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Source URL: pari.math.u-bordeaux.fr

Language: English - Date: 2014-01-29 14:49:18
75Lie groups / Quadratic forms / Lattice points / Analytic number theory / Unimodular lattice / Lattice / Modular form / Unimodular / Quintic function / Algebra / Abstract algebra / Mathematics

arXiv:0710.5799v2 [math.NT] 10 DecCONFIGURATIONS OF RANK-40r EXTREMAL EVEN UNIMODULAR LATTICES (r = 1, 2, 3) SCOTT DUKE KOMINERS AND ZACHARY ABEL Abstract. We show that if L is an extremal even unimodular lattice

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Source URL: zacharyabel.com

Language: English - Date: 2012-12-19 11:02:06
76Algebraic geometry / Projective geometry / Homological algebra / Analytic number theory / Elliptic curve / Group theory / Degree of an algebraic variety / Weil conjectures / Ample line bundle / Abstract algebra / Mathematics / Geometry

Counting points on projective hypersurfaces David Harvey New York University 19th October 2010 Workshop on Elliptic Curve Computation

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
77Abstract algebra / Year of birth missing / Automorphic form / Number theory / Modular form / Brian Conrey / L-function / Elliptic curve / Nina Snaith / Mathematics / Mathematical analysis / Analytic number theory

Michael Rubinstein, CV Citizenship: Canadian. Born: 1971, Montreal. Degrees Ph.D. M.A. B.A.

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Source URL: www.math.uwaterloo.ca

Language: English - Date: 2015-03-10 21:34:45
78Analytic number theory / Elliptic curve / Group theory / Conjectures / Number theory / Polynomials / Riemann hypothesis / Riemann zeta function / Mathematical analysis / Abstract algebra / Mathematics

Computing zeta functions of certain varieties in larger characteristic David Harvey New York University 16th March 2010

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
79Field theory / Analytic number theory / Conjectures / Group theory / Linear algebra / Field / Complex number / Prime number theorem / Number theory / Mathematics / Abstract algebra / Mathematical analysis

Lectures on Real Analysis Finnur L´ arusson Australian Mathematical Society Lecture Series, No. 21, Cambridge University Press, 2012, ISBN

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Source URL: www.austms.org.au

Language: English - Date: 2014-11-15 20:55:48
80Modular forms / Analytic number theory / Special functions / Moduli theory / Q-analogs / Genus of a multiplicative sequence / Root of unity / Mathematical analysis / Abstract algebra / Mathematics

Analytic Number Theory Homework #4 (due Thursday, April 16, 2015) Problem 1: For s ∈ C with <(s) > 7, let L(s) :=

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Source URL: www.math.columbia.edu

Language: English - Date: 2015-04-01 22:36:37
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