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q-product expansions of modular functions


開催時期 2019-11-05 16:45~2019-11-05 17:45

場所 九州大学 伊都キャンパス ウエスト1号館 大講義室 W1-C-501

受講対象  

講師 Winfried Kohnen (Ruprecht-Karls-Universität Heidelberg)

【講演概要】
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.