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q-product expansions of modular functions

Hold Date 2019-11-05 16:45~2019-11-05 17:45

Place Lecture Room L W1-C-501, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Winfried Kohnen (Ruprecht-Karls-Universität Heidelberg)

Modular functions not only have Fourier expansions, but also have q-product expansions. Their exponents often are important to study, too relating to e.g., divisors of modular functions, the existence of η-products, generalized modular forms and most recently to representation numbers of integers as sums of arbitrarily many squares. I intend to survey some of these topics.