Keyword

arithmetic functions

Description: Arithmetic functions are functions defined on positive integers, commonly taking numerical values and studied in number theory.

Primary topic: Analytic Number Theory Research (71%)

Wikidata ID: wiki/Q140744

OpenAlex ID: keywords/arithmetic-functions

Analytic Number Theory

2004 · Henryk Iwaniec, Emmanuel Kowalski · Colloquium Publications - American Mathematical Society/Colloquium Publications · 2,945

A note on the Entscheidungsproblem

1936 · Alonzo Church · Journal of Symbolic Logic · 809

Data Types as Lattices

1976 · Dana Scott · SIAM Journal on Computing · 574

Church's Thesis and Principles for Mechanisms

1980 · Robin Gandy · Studies in logic and the foundations of mathematics · 342

Introduction to Arithmetical Functions

1986 · Paul J. McCarthy · Universitext · 264

Effective Polynomial Computation

1993 · Richard Zippel · Springer eBooks · 262

Fundamentals of number theory

1977 · W. J. LeVeque · 251

Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions

1939 · R. A. Rankin · Mathematical Proceedings of the Cambridge Philosophical Society · 244

Collected papers of Srinivasa Ramanujan

1928 · Notes and Queries · 237

Limiting recursion

1965 · E. Mark Gold · Journal of Symbolic Logic · 232

On Some Infinite Series Involving Arithmetical Functions (ii)

1937 · H. DAVENPORT · The Quarterly Journal of Mathematics · 216

Verification of Arithmetic Functions with Binary Moment Diagrams

1994 · Randal E. Bryant, Yirng-An Chen · 215

On Convergence Rates in the Central Limit Theorems for Combinatorial Structures

1998 · H.-K. Hwang · European Journal of Combinatorics · 204

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Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions

1940 · R. A. Rankin · Mathematical Proceedings of the Cambridge Philosophical Society · 191

Functional Equations With Multiple Gamma Factors and the Average Order of Arithmetical Functions

1962 · K. Chandrasekharan, Raghavan Narasimhan · Annals of Mathematics · 183

Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen

1968 · G. Halász · Acta Mathematica Academiae Scientiarum Hungaricae · 180

Elementary Number Theory

1998 · Gareth A. Jones, J. Mary Jones · Springer undergraduate mathematics series · 179

Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions

1939 · R. A. Rankin · Mathematical Proceedings of the Cambridge Philosophical Society · 174

Elementary Number Theory

1940 · G. F. Cramer, J. V. Uspensky, et al. · Springer eBooks · 173

Problems in Analytic Number Theory

2008 · Murty, Maruti Ram 1953- · Springer eBooks · 170

Elementary Number Theory

2005 · Springer eBooks · 166

Euler’s constant: Euler’s work and modern developments

2013 · Jeffrey Lagarias · Bulletin of the American Mathematical Society · 163

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Ramanujan Sums in the Context of Signal Processing—Part I: Fundamentals

2014 · P. P. Vaidyanathan · IEEE Transactions on Signal Processing · 143

Some Asymptotic Expressions in the Theory of Numbers

1913 · T. H. Gronwall · Transactions of the American Mathematical Society · 140

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Arithmetical functions associated with the unitary divisors of an integer

1960 · Eckford Cohen · Mathematische Zeitschrift · 134

Works count: 3,849

Citation count: 24,770