Skip to main content
eScholarship
Open Access Publications from the University of California

UC Santa Barbara

UC Santa Barbara Electronic Theses and Dissertations bannerUC Santa Barbara

Topics in Multiplicative Number Theory

Abstract

We investigate several topics in multiplicative number theory on the distributions of the k-fold divisor function in arithmetic progressions, divisor sums, and gaps between zeros of L-functions. Applications of these topics to the distribution of prime numbers, zeros of the derivative of the Riemann zeta function near the critical line, the generalized de Bruijn-Newman constant, and connections to moments of L-functions and random matrix theory are also discussed.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View