University of Illinois Urbana-Champaign

Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions

Roy, Arindam

Content Files
ROY-DISSERTATION-2015.pdf

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https://hdl.handle.net/2142/88129

Description

Title
Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions
Author(s)
Roy, Arindam
Issue Date
2015-08-03
Director of Research (if dissertation) or Advisor (if thesis)
Zaharescu, Alexandru
Doctoral Committee Chair(s)
Berndt, Bruce C.
Committee Member(s)
  • Boca, Florin
  • Athreya, Jayadev
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2015-09-29T20:38:57Z
Keyword(s)
  • Ramanujan
  • Voronoi summation formula
  • Divisor problem
  • Dedekind zeta function
  • Dirichlet polynomial
  • Distribution of zeros
  • Hecke L-functions
  • Approximate functional equation
  • Proportion of zeros on the critical line
Graduation Semester
2015-8
Type of Resource
text
Permalink
http://hdl.handle.net/2142/88129
Copyright and License Information
Copyright 2015 Arindam Roy

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Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Mathematics