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

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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

2015

Author dc:creator

• Roy, Arindam

Contributors dc:contributor

• Zaharescu, Alexandru
• Berndt, Bruce C.
• Boca, Florin
• Athreya, Jayadev

• 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

Statement dc:rights

• Copyright 2015 Arindam Roy

Language dc:language

en

Handle dc:identifier

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

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/88129