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Lethbridge Number Theory and Combinatorics Seminar
Date:
May 7, 2018
Time:
12:00-12:50pm
Lecturer(s):
Alia Hamieh (UNBC)
Location:
University of Lethbridge
Topic:
Non-vanishing of L-functions of Hilbert Modular Forms inside the Critical Strip
Description:
In this talk, I will discuss recent joint work with Wissam Raji. We show that, on average, the L-functions of cuspidal Hilbert modular forms with sufficiently large weight k do not vanish on the line segments defined by fixing the imaginary part of s to be t, and constraining the real part of s to be either between (k-1)/2 and k/2 - epsilon or between k/2 + epsilon and (k+1)/2. The proof follows from computing the Fourier expansion of a certain kernel function associated with Hilbert modular forms and estimating its first Fourier coefficient. This result is analogous to the case of classical modular forms which was proved by W.Kohnen in 1997.
Other Information:
Location: C630 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470
