Nikolaos Diamantis

University of Nottingham

Values of L-series associated with weakly holomorphic forms and of their derivatives

Heilbronn Number Theory Seminar

12th October 2022, 4:00 pm – 5:00 pm
Fry Building, 2.04

In works by Bruinier--Funke--Imamoglu and Ahlfes-Neumann--Schwagenscheidt, an important role was played by
quantities which can be viewed as "central L-values" of weakly holomorphic forms. Using the theory of L-series we (jointly with Lee,
Raji and Rolen) recently attached to such forms, we interpret those quantities as proper L-values. We further provide explicit expressions for special values of derivatives of our L-series, which have also applications to the case of standard cusp forms. This is based on joint works with Rolen and Stromberg.

Comments are closed.