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.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Patkowski, Alexander Eric

Publisher

• Worcester Polytechnic Institute

Identifier

• 07D410M

Advisor

• Servatius, Brigitte

Year

• 2007

Date created

• 2007-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright