BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Zeev Rudnick (Tel Aviv University) DTSTART:20260520T150000Z DTEND:20260520T160000Z DTSTAMP:20260528T081247Z UID:LNTS/196 DESCRIPTION:Title: T he distribution of zeroes of modular forms (Cancelled)\nby Zeev Rudnic k (Tel Aviv University) as part of London number theory seminar\n\nLecture held in King's College London\, Strand campus\, Room S3.30.\n\nAbstract\n I will discuss old and new results about the distribution of zeros of modu lar forms\, and relation to Quantum Unique Ergodicity. It is known that a modular form of weight k has about k/12 zeros in the fundamental domain . A classical question in the analytic theory of modular forms is “can we locate the zeros of a distinguished family of modular forms?”. In 1970\, F. Rankin and Swinnerton-Dyer proved that the zeros of the Eisenstein ser ies all lie on the circular part of the boundary of the fundamental domain . In the beginning of this century\, I discovered that for cuspidal Hecke eigenforms\, the picture is very different - the zeros are not localized\, and in fact become uniformly distributed in the fundamental domain. Very recently\, we have investigated other families of modular forms\, such as the Miller basis (ZR 2024\, Roei Raveh 2025\, Adi Zilka 2026)\, Poincare s eries (RA Rankin 1982\, Noam Kimmel 2025) and theta functions (Roei Raveh 2026)\, finding a variety of possible distributions of the zeroes.\n LOCATION:https://researchseminars.org/talk/LNTS/196/ END:VEVENT END:VCALENDAR