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Date
2023-08Type
- Journal Article
ETH Bibliography
yes
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Abstract
We obtain infinite product expansions in the sense of Borcherds for theta functions associated with certain positive-definite binary quadratic and binary hermitian forms. Among other things, we show that every weight 1 binary theta function is a Borcherds product. In particular, binary theta functions have zeros only at quadratic irrationals. Show more
Publication status
publishedExternal links
Journal / series
Journal of Number TheoryVolume
Pages / Article No.
Publisher
ElsevierSubject
Theta functions; Borcherds productsOrganisational unit
08799 - Imamoglu, Oezlem (Tit.-Prof.)
Funding
185014 - Spectral theory, lifting of Automorphic forms and Dedekind sums (SNF)
202210 - Periods of modular forms (SNF)
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ETH Bibliography
yes
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