q-product expansions of modular functions
代数学セミナー
開催期間
2019.11.5(火)
16:45 ~ 17:45
16:45 ~ 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
講演者
Winfried Kohnen (Ruprecht-Karls-Universität Heidelberg)
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.