Arithmetic functions

Results: 235



#Item
171Divisor function / Carmichael function / Elliptic functions / Modular forms / Arithmetic function / Spectral theory of ordinary differential equations / Mathematics / Modular arithmetic / Number theory

MATHEMATICS OF COMPUTATION Volume 71, Number 240, Pages 1803–1806 S[removed][removed]Article electronically published on May 28, 2002 CORRIGENDUM TO “PERIOD OF THE POWER GENERATOR

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:08
172Prime number theorem / Diophantine approximation / Complex analysis / Mathematical series / Real analysis / Factorization of polynomials over a finite field and irreducibility tests / Auxiliary function / Mathematical analysis / Mathematics / Arithmetic function

THE RAMANUJAN JOURNAL 1, 227–[removed]c 1997 Kluwer Academic Publishers. Manufactured in The Netherlands. ° On Locally Repeated Values of Certain Arithmetic Functions, IV

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:07
173Analytic number theory / Prime numbers / Prime number theorem / Sieve theory / Prime-counting function / Prime number / Arithmetic functions / Chebyshev function / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Number theory / Mathematical analysis

On the Distribution of Pseudopowers Sergei V. Konyagin Department of Mechanics and Mathematics Moscow State University Moscow, 119992, Russia [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-07-30 15:14:32
174Divisor function / Arithmetic functions / Aliquot sequence / Sociable number / Perfect number / Prime number / Normal distribution / Mathematics / Integer sequences / Number theory

ON THE DISTRIBUTION OF SOCIABLE NUMBERS MITSUO KOBAYASHI, PAUL POLLACK, AND CARL POMERANCE Abstract. For a positive integer n, define s(n) as the sum of the proper divisors of n. If s(n) > 0, define s2 (n) = s(s(n)), and

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-10-07 10:39:54
175Integer sequences / Arithmetic functions / Aliquot sequence / Elementary number theory / Amicable numbers / Divisor / Orbit / Pythagoras / Prime number / Mathematics / Divisor function / Number theory

Amicable numbers The Memorial Conference for Felice and Paul Bateman and Heini Halberstam University of Illinois, June 5–7, 2014 Carl Pomerance, Dartmouth College

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2014-06-03 20:27:30
176Modular 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
177Combinatorics / Factorial / Exponentiation / Jurkat–Richert theorem / Chebyshev function / Mathematics / Number theory / Arithmetic functions

On the range of Carmichael’s universal-exponent function Florian Luca Mathematical Institute UNAM Juriquilla Juriquilla, 76230 Santiago de Quer´etaro

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2013-12-21 18:22:02
178Algebraic 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
179Analytic 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
180Special functions / Moduli theory / Modular form / Orbifold / Symbol / Mathematical analysis / Analytic number theory / Mathematics

Derivatives of Eisenstein series and Faltings heights Stephen S. Kudla, Michael Rapoport and Tonghai Yang Abstract We prove a relation between a generating series for the heights of Heegner cycles on the arithmetic surfa

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Source URL: www.math.toronto.edu

Language: English - Date: 2007-09-12 16:05:04
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