Room 509, Cosmology Building, NTU
(臺灣大學次震宇宙館 509研討室)
Dimension of Paramodular Forms and Algebraic Modular Forms with Involution.
Tomoyoshi Ibukiyama (Osaka University)
Abstract
We give explicit dimension formulas of paramodular forms of prime level with Atkin-Lehner involution as well as corresponding algebraic modular forms under the assumption that the weight is not less than 3. Also the dimensional bias of plus and minus signs, and precise description of primes with no weight 3 forms with plus sign are given.