Event time:
Friday, February 25, 2011 - 8:00am to 9:00am
Location:
431DL
Speaker:
Shinnyih Huang
Speaker affiliation:
Yale University
Event description:
In Lagarias and Suzuki’s paper, they showed that certain integral I(T,s) of the
nonholomorphic Eisenstein series E(z,s) has all their zeros on the line R(s) =
1/2 and is related to the constant term of E(z,s). Furthermore, when T= 1, it’s
the zeta function recently introduced by Lie Weng. We introduce the function
I(T,s) and showed that it satisfies the Riemann Hypothesis. Also, we generalize
the idea of getting I(T,s) to some integral of Eisenstein series associated to
different cusps, and eventually give other families of functions which also
have zeros on the critical line.