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Author:

Gafni, Ayla R.

Title:

Asymptotic formulae in analytic number theory

Graduate Program:

Mathematics

Keywords:

Partitions into powers
circle method
exponential sums
Diophantine approximation
Khinchin theory
Selberg functions

File:

Download Gafni-Dissertation.pdf

Committee Members:

Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Robert Charles Vaughan, Committee Chair/Co-Chair
Wen Ching W Li, Committee Member
Woodrow Dale Brownawell, Committee Member
Emily Rolfe Grosholz, Committee Member

Author:

Ding, Pengyong

Title:

On a Variance Associated with the Distribution of Real Sequences in Arithmetic Progressions

Graduate Program:

Mathematics

Keywords:

variance
distribution
sequences
asymptotics
residue classes
circle method

File:

Download Ding-Dissertation.pdf

Committee Members:

Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Robert Charles Vaughan, Committee Chair/Co-Chair
Wen-Ching Winnie Li, Committee Member
Ae Ja Yee, Committee Member
Mary Kathleen Heid, Outside Member
Mark Levi, Program Head/Chair