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divisor function
Description:
An arithmetic function that counts or otherwise summarizes the divisors of an integer, studied in number theory.
Primary topic:
Analytic Number Theory Research (80%)
Related topics:
Analytic Number Theory Research (80%),
Advanced Mathematical Identities (11%)
OpenAlex ID:
keywords/divisor-function
On the normal concentration of divisors, 2
2009
·
HELMUT MAIER
, GÉRALD TENENBAUM
·
Mathematical Proceedings of the Cambridge Philosophical Society
·
686
Handbook of number theory
1996
·
D. S. Mitrinović
, József Sándor
, et al.
·
CERN Document Server (European Organization for Nuclear Research)
·
272
More on the Sum-product Phenomenon in Prime Fields and Its Applications
2005
·
J. BOURGAIN
·
International Journal of Number Theory
·
259
Primes in arithmetic progressions to large moduli
1986
·
E. Bombieri
, J. B. Friedlander
, et al.
·
Acta Mathematica
·
259
PDF
Highly Composite Numbers
1915
·
S. Ramanujan
·
Proceedings of the London Mathematical Society
·
175
The distribution and moments of the error term in the Dirichlet divisor problem
1992
·
D. Heath-Brown
·
Acta Arithmetica
·
141
PDF
Integral circulant graphs
2006
·
Wasin So
·
Discrete Mathematics
·
134
PDF
Arithmetical functions associated with the unitary divisors of an integer
1960
·
Eckford Cohen
·
Mathematische Zeitschrift
·
134
On Dirichlet's Divisor Problem
1917
·
G. H. Hardy
·
Proceedings of the London Mathematical Society
·
130
The logarithm of the dedekind ?-function
1987
·
Michael Atiyah
·
Mathematische Annalen
·
120
A divisor problem
1930
·
E. C. Titchmarsh
·
Rendiconti del Circolo Matematico di Palermo Series 2
·
110
Arithmetical properties of generalized Ramanujan sums
1972
·
Tom M. Apostol
·
Pacific Journal of Mathematics
·
108
PDF
A quadratic divisor problem
1994
·
W. Duke
, J. B. Friedlander
, et al.
·
Inventiones mathematicae
·
100
Lectures on a Method in the Theory of Exponential Sums
1987
·
Matti Jutila
·
98
Incomplete Kloosterman Sums and a Divisor Problem
1985
·
John B. Friedlander
, Henryk Iwaniec
·
Annals of Mathematics
·
98
On the number of divisors of quadratic polynomials
1963
·
Christopher Hooley
·
Acta Mathematica
·
98
The binary additive divisor problem
1994
·
Yoichi Motohashi
·
Annales Scientifiques de l École Normale Supérieure
·
97
PDF
Abstract Theory of Inversion of Finite Series
1935
·
Louis Weisner
·
Transactions of the American Mathematical Society
·
92
PDF
Highly Composite Numbers by Srinivasa Ramanujan
1997
·
Jean-Louis Nicolas
, Guy Robin
·
The Ramanujan Journal
·
86
Majorations Explicites Pour le Nombre de Diviseurs de N
1983
·
J. L. Nicolas
, G. Robin
·
Canadian Mathematical Bulletin
·
80
PDF
The Approximate Functional Equation in the Theory of the Zeta-Function, with Applications to the Divisor-Problems of Dirichlet and Piltz
1923
·
G. H. Hardy
, J. E. Littlewood
·
Proceedings of the London Mathematical Society
·
80
Some q-series identities related to divisor functions
1995
·
Karl Dilcher
·
Discrete Mathematics
·
69
Large values of certain number-theoretic error terms
1990
·
Aleksandar Ivić
·
Acta Arithmetica
·
69
PDF
Sur le problème des diviseurs de Titchmarsh.
1985
·
Étienne Fouvry
·
Journal für die reine und angewandte Mathematik (Crelles Journal)
·
69
An Additive Divisor Problem
1982
·
J. M. Deshouillers
, H. Iwaniec
·
Journal of the London Mathematical Society
·
66
PDF
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Works count:
2,777
Citation count:
13,300
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