Advances in Theoretical and Applied Mathematics
Open Access
  • Year: 2006
  • Volume: 1
  • Issue: 1

Evaluation of the Convolution Sums and

  • Author:
  • Ayşe Alaca, Şaban Alaca, Kenneth S. Williams
  • Total Page Count: 22
  • Page Number: 27 to 48

Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics Carleton University, Ottawa, Ontario, Canada K1S 5B6. E-mail: aalaca@math.carleton.ca, salaca@math.carleton.ca, williams@math.carleton.ca.

AMS Mathematics Subject Classification: 11A25, 11E20, 11E25

Abstract

The convolution sums and are evaluated for all n ∈ ℕ and their evaluations used to determine the number of representations of a positive integer n by the form

Keywords

sum of divisors function, convolution sums, Eisenstein series