Results 211 to 220 of about 41,624 (236)

Identities involving sum of divisors, compositions and integer partitions hiding in the q-binomial theorem

São Paulo Journal of Mathematical Sciences, 2023
M. Alegri
semanticscholar   +1 more source

CONGRUENCES AND EXPONENTIAL SUMS WITH THE SUM OF ALIQUOT DIVISORS FUNCTION

International Journal of Number Theory, 2008
We give bounds on the number of integers 1 ≤ n ≤ N such that p | s(n), where p is a prime and s(n) is the sum of aliquot divisors function given by s(n) = σ(n) - n, where σ(n) is the sum of divisors function. Using this result, we obtain nontrivial bounds in certain ranges for rational exponential sums of the form [Formula: see text]
Balasuriya, Sanka, Banks, William D., Shparlinski, Igor E.   +2 more
openaire   +2 more sources

Arithmetic properties of MacMahon-type sums of divisors: The odd case

Journal of combinatorial theory. Series A
A century ago, P. A.
James A. Sellers, R. Tauraso
semanticscholar   +1 more source

Divisors of Sums of Divisors: 10617

The American Mathematical Monthly, 1999
James G. Merickel, John P. Robertson
openaire   +1 more source

Arithmetic properties of MacMahon-type sums of divisors

The Ramanujan journal
In this paper, we prove several new infinite families of Ramanujan–like congruences satisfied by the coefficients of the generating function Ut(a,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
James A. Sellers, R. Tauraso
semanticscholar   +1 more source

On power values of sum of divisors function in arithmetic progressions

Indian Journal of Pure and Applied Mathematics, 2023
Vidyanshu Mishra
exaly  

A NEW UPPER BOUND FOR THE SUM OF DIVISORS FUNCTION

Bulletin of the Australian Mathematical Society, 2017
Christian Axler
semanticscholar   +1 more source

On the sum of error terms associated to the sum-of-divisors function σa(n) for 1 2 < a ≤ 1

International Journal of Number Theory
T. Makoto Minamide, Y. Tanigawa
semanticscholar   +1 more source

Sums of Distinct Divisors

American Journal of Mathematics, 1954
openaire   +2 more sources

Author Correction to: Identities involving sum of divisors, compositions and integer partitions hiding in the q-binomial theorem

São Paulo Journal of Mathematical Sciences
M. Alegri, A. Petojević, Sonja Orlić
semanticscholar   +1 more source