Some results on Theory of Infinite Series and Divisor Sums

Abstract

In this article we present certain formulas involving arithmetical functions. In the first part we study properties of sums and product formulas for general type of arithmetic functions. In the second part we apply these formulas to the study of Jacobi elliptic theta functions theory.

arXiv comment24 pages

References in corpus (1)

• Some applications of the Poisson summation formula

Cited by in corpus (3)

• Some Notes on the Solutions of non Homogeneous Differential Equations
• Properties of Lerch Sums and Ramanujan's Mock Theta Functions
• On the Solution of Gauss Circle Problem Conjecture (Revised)