Analytic function

Results: 1264



#Item
971Analytic 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
972Analytic 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
973Trigonometry / Integer sequences / Analytic functions / Complex analysis / Trigonometric functions / Hyperbolic function / 2K / Taylor series / Bernoulli number / Mathematical analysis / Mathematics / Number theory

10 Termwise Higher Derivative (Trigonometric, Hyperbolic) In this chapter, for the function which the second or more order derivative is difficult to express with an easy unification notation among trigonometric function

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-10 20:30:43
974Abstract 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
975Diophantine 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
976Modular 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
977Number 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
978Mathematics / Operator / Wave function / Rotation / Bra-ket notation / Analytic semigroup / Particle in a spherically symmetric potential / Physics / Quantum mechanics / Mathematical analysis

1 Introduction to quantum mechanics Quantum mechanics is the basic tool needed to describe, understand and devise NMR experiments. Fortunately for NMR spectroscopists, the quantum mechanics of nuclear spins is quite stra

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Source URL: www-keeler.ch.cam.ac.uk

Language: English - Date: 2001-02-01 13:56:11
979Modular 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
980Algebraic 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
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