Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function

Authors

Emanuel Carneiro, IMPA, Rio de Janeiro

Document Type

Lecture

Publication Date

5-30-2014

Abstract

This talk lies on the interface of analysis and analytic number theory. I will show how to construct a special reproducing kernel Hilbert space related to the Riemann zeta-function and how one can use this space to obtain bounds for the pair correlation of zeros of the zeta-function, extending classical work of P. X. Gallagher (1985). This is a joint work with V. Chandee, M. Milinovich and F. Littmann.

Relational Format

presentation

Recommended Citation

Carneiro, Emanuel, "Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function" (2014). Algebra/Number Theory Seminar. 37.
https://egrove.olemiss.edu/math_algebra_number_theory/37