Small Gaps Between Zeros of the Riemann Zeta-function

Abstract: The Riemann zeta-function is a ubiquitous yet mysterious function in number theory. The location of its nontrivial zeros gives us information on the behavior of the primes, and the famous Riemann Hypothesis arose from studying this connection. In this talk we will investigate the gaps between “critical" zeros of the Riemann zeta-function, provide a missing proof of an old result of Selberg, and give the first unconditional explicit result on small gaps between zeta zeros.

complex variablesgeneral mathematicsnumber theory

Audience: undergraduates

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PRiME: Pomona Research in Mathematics Experience

Series comments: PRiME is hosting a series of talks which will take place on Fridays in July. All are welcome to join us either in person at Pomona College or virtually over Zoom. There will be two types of series.

PROFESSIONAL DEVELOPMENT WORKSHOPS

We will have a series of 2-hour workshops geared for undergraduate students, graduate students, and faculty. The Morning Sessions will take place from 10:00 AM - 12:00 PM Pacific, while the Afternoon Sessions will take place from 2:00 PM - 4:00 PM Pacific. The Student Professional Development Series (geared for undergraduates) will meet at Pomona College in Estella 1051 (Argue Auditorium); while the Faculty Professional Development Series (geared for graduate students and junior faculty) will meet in Estella 1021 (Noether Auditorium).

COLLOQUIUM SERIES

We will have outside speakers to visit with us on Fridays from 4:30 PM - 6:00 PM Pacific. We will meet in person at Pomona College in Estella 1051 (Argue Auditorium).

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