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Spherical designs and modular forms of the D4-lattice

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Speaker: 
Koji Tasaka
Affiliation: 
Aichi Prefectural University
Date: 
Wed, 01/02/2023 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (moree@mpim-bonn.mpg.de)

We will talk about a spherical design, one of important combinatorial structures, of the shells of the D4 lattice and its connection to the theory of modular forms, such as weighted theta functions, non-vanishing and congruences of the Fourier coefficients and so on. This is a joint work with Masatake Hirao and Hiroshi Nozaki.

 

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