Thursday, December 5 2019
15:30 - 16:30

Alladi Ramakrishnan Hall

$q$ -product expansions of modular functions

Winfried Kohnen

University of 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 $\eta$-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

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