PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Cancelled, owing to inclement weather
Seminar:Algebra and Number Theory Seminar
Speaker:Jeffery Lagarias, University of Michigan
Abstract:
Let F_n denote the product of all nonzero Farey fractions of order n and let G_n denote the product of all reduced and unreduced Farey fractions of order n. It is known that the reciprocal of G_n is the product of binomial coefficients on the n-th row of Pascal's triangle. We present results on the growth rate of log F_n and of log G_n, and on the behavior of the p-adic norms of F_n and G_n. The p-adic behavior of G_n is related to the Riemann zeta function on the line Re(s)=0. We present experimental results suggesting that F_n is related to behavior of the Riemann zeta function on another line. (This is joint work with Harsh Mehta (U. South Carolina).)

Room Reservation Information

Room Number:MB114
Date:02 / 02 / 2015
Time:11:15am - 12:05pm