Date of Award
1-1-2025
Document Type
Dissertation
Degree Name
Ph.D. in Mathematics
First Advisor
Micah B. Milinovich
Second Advisor
Ayla R. Gafni
Third Advisor
James Bonifacio
School
University of Mississippi
Relational Format
dissertation/thesis
Abstract
This work consists of two distinct problems. In the first one, we use a variation of the Circle Method, along with ideas coming from the Saddle Point Method, to obtain an asymptotic formula for the number of partitions of a number n into integers which are sums of two squares. In the second problem, we discuss some new results for large and small gaps between the ordinates of zeros of high degree zeta and L-functions, including Dedekind zeta-functions associated with Galois extensions of Q and principal automorphic L-functions.
Recommended Citation
Hernandez Palacios, Jaime, "Partitions into Sums of Two Squares and Gaps Between Zeros of L-Functions" (2025). Electronic Theses and Dissertations. 3293.
https://egrove.olemiss.edu/etd/3293