##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Jesse Elliott

#### CSU Channel Islands

## Extensions of the prime number theorem and the Riemann hypothesis

##### Abstract:

We provide two asymptotic continued fraction expansions of the prime counting function. We also develop a ``degree'' calculus that enables us to strengthen the connections between various reformulations and extensions of the Riemann hypothesis.

Host: Kiran Kedlaya

### May 3, 2018

### 2:00 PM

### AP&M 7321

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