# Lethbridge Number Theory and Combinatorics Seminar:

## Topic

Sharper Bounds for Chebyshev functions theta(x) and psi(x)

## Details

In this talk we report on some research projects from summer 2017 supported by NSERC-USRA. In the first part of the project, we surveyed all existing explicit results from the past 60 years on prime counting functions, with a special focus on theta(x) (counting log p for each prime p less than or equal to x). In the second part, we provided new bounds for the Chebyshev function psi(x) based on a recent zero density result for the zeros of the Riemann zeta function (due to Kadiri-Lumley-Ng). Finally, we have established the current best results for the prime counting function theta(x) for various ranges of x.

(Joint work with Noah Christensen, Allysa Lumley, and Nathan Ng)

(Joint work with Noah Christensen, Allysa Lumley, and Nathan Ng)

## Additional Information

**Time: **12:00-12:15pm

**Location:** C630 University Hall

**Web page:** http://www.cs.uleth.ca/~nathanng/ntcoseminar/

Sam Broadbent, University of Lethbridge

Habiba Kadiri, University of Lethbridge

Kristen Wilk, University of Lethbridge

This is a Past Event

Event Type

**Scientific, Seminar**

Date

**October 23, 2017**

Time

**-**

Location

University of Lethbridge