2023 Program for Women and Mathematics: Patterns in Integers: dynamical and number theoretic approaches

Small scale distribution of primes in four-term arithmetic progressions

Abstract: In 1985, Maier demonstrated that there are short intervals with an exceptionally large or small number of primes. In this talk, I will discuss an analog of this result for primes in three-term and four-term arithmetic progressions. I aim to highlight the similarities and differences between the proofs of the two cases; the former uses the circle method, whereas the latter requires ergodic theory. This is based on joint work with Mayank Pandey.

Date & Time

May 23, 2023 | 8:10pm – 8:30pm

Location

Simonyi Hall 101

Speakers

Katharine Woo

Affiliation

Princeton University

Event Series

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