Analytic number theory

Results: 1184



#Item
801Integer sequences / Modular arithmetic / Group theory / Analytic number theory / Elliptic curve / Primality test / Coprime / Prime number / Carmichael number / Mathematics / Abstract algebra / Number theory

INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011)

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2011-09-27 14:35:17
802Abstract algebra / Analytic number theory / Elliptic functions / Q-analogs / Theta function / Eisenstein series / J-invariant / Metaplectic group / Rankin–Selberg method / Mathematical analysis / Modular forms / Mathematics

Automorphic forms with singularities on Grassmannians. 29 September 1996, corrected 29 May[removed]Richard E. Borcherds,∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. e-mail: [removed] home page: http

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Source URL: math.berkeley.edu

Language: English - Date: 1999-12-09 18:04:29
803Diophantine geometry / Analytic number theory / Local zeta-function / Riemann zeta function / Igusa zeta-function / Quadratic form / Holomorphic functional calculus / Abstract algebra / Mathematics / Algebra

ON THE DENSITY OF UNNORMALIZED TAMAGAWA NUMBERS OF ORTHOGONAL GROUPS III AKIHIKO YUKIE 1. Introduction This is part III of a series of three papers. In this series of papers, we determine the

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Source URL: www.math.tohoku.ac.jp

Language: English - Date: 2007-07-14 01:00:44
804Modular forms / Analytic number theory / Group theory / Moduli theory / Modular curve / Orbifold / Representation theory of finite groups / Symbol / Divisor / Abstract algebra / Mathematics / Algebra

The Gross-Kohnen-Zagier theorem in higher dimensions. 1997, 4 March[removed]Oct and 31 Dec Duke Math. J[removed]), no. 2, 219–233.

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Source URL: math.berkeley.edu

Language: English - Date: 2000-05-12 13:35:16
805Modular forms / Analytic number theory / Elliptic functions / Riemann surfaces / Algebraic curves / J-invariant / Theta function / Congruence subgroup / Classical modular curve / Abstract algebra / Mathematical analysis / Mathematics

MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi

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Source URL: math.stanford.edu

Language: English - Date: 2006-03-08 11:36:50
806Number theory / Complex analysis / Mathematical series / Exponentials / Hyperbolic function / Inverse hyperbolic function / Factorial / Trigonometric functions / Pi / Mathematical analysis / Mathematics / Analytic functions

2 Multifactorial 2.1 Double Factorial[removed]The definition of a Double Factorial Definition[removed]m, n denote a natural number,

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-10 10:09:11
807Analytic number theory / Galois theory / Field theory / Heegner point / Elliptic curve / Modular form / Galois module / Quadratic field / Class field theory / Abstract algebra / Algebra / Algebraic number theory

Tobias Berger Title: An Eisenstein ideal for imaginary quadratic fields Abstract: For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein ideal in a Hecke algebra acting on cus

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Source URL: math.bu.edu

Language: English - Date: 2004-10-11 17:37:59
808Modular forms / Automorphic forms / Analytic number theory / Fellows of the Royal Society / Cusp form / Eisenstein series / Representation theory / Peter Sarnak / Automorphic L-function / Mathematical analysis / Mathematics / Abstract algebra

Cusp Forms on SL3(Z)\SL3(R)/SO3(R) Stephen David Miller A Dissertation Presented to the Faculty

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Source URL: www.math.rutgers.edu

Language: English - Date: 2001-08-06 18:06:51
809Algebraic number theory / Field theory / Hyperelliptic curve / Peter Sarnak / Elliptic curve / Zeta function / L-function / Algebraic number field / Abstract algebra / Algebraic curves / Analytic number theory

2014 ARIZONA WINTER SCHOOL: ARITHMETIC STATISTICS STATISTICS FOR ZEROES OF L-FUNCTIONS OF CURVES OVER FINITE FIELDS CHANTAL DAVID The lectures will be concerned with statistics for the zeroes of L-functions in natural fa

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Source URL: swc.math.arizona.edu

Language: English - Date: 2013-12-17 13:57:57
810Analytic number theory / Fourier analysis / Conjectures / Meromorphic functions / Riemann hypothesis / Riemann zeta function / Elliptic curve / Dirac delta function / Algebraic number field / Mathematical analysis / Mathematics / Abstract algebra

CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS ARIZONA WINTER SCHOOL 2014: ARITHMETIC STATISTICS CHANTAL DAVID ASSISTANT: ALINA BUCUR 1. Introduction

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Source URL: swc.math.arizona.edu

Language: English - Date: 2014-03-13 18:22:56
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