Anders Södergren: Low-lying zeros in families of modular form L-functions (NTWS 228)

Abstract: In this talk, I will discuss the distribution of zeros in families of L-functions. The focus will be on ideas and results related to the Katz-Sarnak heuristic for the statistics of low-lying zeros, that is, zeros that are located close to the real axis. In particular, I will report on joint work with Martin Čech, Lucile Devin, Daniel Fiorilli and Kaisa Matomäki on extended density theorems in certain families of L-functions attached to holomorphic modular forms or Maass forms.
Number Theory Web Seminar: www.ntwebsemin...
Original air date:
Thursday, November 14, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, November 15, 2024 (12am CST, 3am AEDT, 5am NZDT)