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University of Illinois at Urbana-Champaign
On the Average Order of the Divisor Function, Lattice Point Functions, and Other Arithmetical Functions
Abstract
dc:descriptionWe consider a large class of arithmetical functions generated by Dirichlet series satisfying a very general functional equation with gamma factors. We obtain one and two-sided (OMEGA)-theorems for the error terms associated with certain weighted averages of these arithmetical functions. For example, if {a(n)} is such an arithmetical function generated by the Dirichlet series* for (//R) e s sufficiently large, then the weighted summatory function A(,(rho))(x) is defined for (rho) (GREATERTHEQ) 0 by*
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hafner, James Lee
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8026507
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/68172