Faculty Advisor

Servatius, Brigitte

Abstract

In this paper we establish some analysis of generating functions for values of summatory arithmetic functions. Our goal is to obtain some new summation formulae that arise in consideration of known results concerning integral representations of the summatory arithmetic functions. The formulas we use are the Poisson summation formula, Mellin inversion formula and standard properties of the Gamma function.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2007

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

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