Abstract analytic number theory

Results: 558



#Item
381Modular forms / Elliptic functions / Riemann surfaces / Lie groups / Analytic number theory / Lattice / Theta function / Möbius transformation / Unimodular lattice / Mathematical analysis / Abstract algebra / Geometry

Reflection groups of Lorentzian lattices. 21 September[removed]Duke Math. J[removed]no. 2, [removed]Richard E. Borcherds, ∗

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Source URL: math.berkeley.edu

Language: English - Date: 2001-02-23 12:26:49
382Analytic number theory / Conjectures / Prime numbers / Prime number theorem / Prime-counting function / Riemann hypothesis / Quadratic residue / Exponentiation / Algebraic number field / Mathematics / Abstract algebra / Number theory

On pseudosquares and pseudopowers Carl Pomerance Department of Mathematics Dartmouth College Hanover, NH[removed], USA [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-03-17 11:52:03
383Analytic number theory / Elliptic curve / Group theory / Fourier series / Dirichlet character / Symbol / Conjectures / Modular forms / Generalized Riemann hypothesis / Abstract algebra / Mathematical analysis / Mathematics

More applications of multiple Dirichlet series Gautam Chinta Bretton Woods, NH 13 July 2005

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-06-09 18:39:10
384Number theory / Exponentiation / Analytic number theory / Group theory / Chernoff bound / Prime gap / Mathematics / Abstract algebra / Exponentials

On composite integers n for which ϕ(n) | n − 1 Florian Luca Instituto de Matem´aticas Universidad Nacional Autonoma de M´exico C.P[removed], Morelia, Michoac´an, M´exico [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-05-31 09:36:36
385Analytic number theory / Automorphic L-function / Langlands program / Functional equation / Symbol / Modular form / Hecke character / Fourier series / Dirichlet character / Mathematical analysis / Mathematics / Abstract algebra

Multiple Dirichlet Series and Automorphic Forms, I Solomon Friedberg July 20, 2005 Abstract This is the first of a series of three lectures concerning multiple Dirichlet

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-06-09 18:39:06
386Integer 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
387Abstract 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
388Diophantine 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
389Modular 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
390Modular 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
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