PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Using Zeta Zeros to Calculate Arithmetical Functions
Seminar:Algebra and Number Theory Seminar
Speaker:Robert Baillie, Remcom, Inc.
Abstract:
Of what use are the zeros of the Riemann zeta function? It turns out that we can use sums involving zeta zeros to count the primes up to x. Perron's formula leads to sums using zeta zeros that can count the squarefree integers up to x, or tally Euler's phi function and other arithmetical functions. This is largely a presentation of experimental results. If time permits, I'll show an interactive Mathematica program that uses zeta zeros to compute some of these functions.

Room Reservation Information

Room Number:MB106
Date:04 / 07 / 2011
Time:11:15am - 12:05pm