##### Department of Mathematics,

University of California San Diego

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### Math 196 - Student Colloquium

## Brandon Alberts

#### UC San Diego

## Questions and Tools in Arithmetic Statistics

##### Abstract:

Arithmetic statistics is a subfield of number theory which studies arithmetic objects in the context of statistical properties like distribution, expected value, etc. Work in this field involves both an understanding of the underlying arithmetic structure and the application of strong analytic tools. We will first explore a few types of questions that are studied in this field today, then we discuss a major analytic tool used by researchers called a Tauberian theorem.

### November 20, 2020

### 2:00 PM

### Contact Glenn Tesler for Zoom link

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