Differential operators on polar harmonic Maass forms and elliptic duality
| العنوان: | Differential operators on polar harmonic Maass forms and elliptic duality |
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| المؤلفون: | Ben Kane, Kathrin Bringmann, Paul Jenkins |
| المصدر: | The Quarterly Journal of Mathematics. 70:1181-1207 |
| بيانات النشر: | Oxford University Press (OUP), 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Pure mathematics, Mathematics - Number Theory, Mathematics::Number Theory, General Mathematics, 010102 general mathematics, Modular form, Holomorphic function, Duality (optimization), Harmonic (mathematics), Space (mathematics), Differential operator, 01 natural sciences, Poincaré series, 0103 physical sciences, FOS: Mathematics, 11F25, 11F37, Number Theory (math.NT), 010307 mathematical physics, 0101 mathematics, Fourier series, Mathematics |
| الوصف: | In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincaré series which span the space of such forms and show that their elliptic coefficients exhibit duality properties which are similar to the properties known for Fourier coefficients of harmonic Maass forms and weakly holomorphic modular forms. |
| تدمد: | 1464-3847 0033-5606 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e19db7a5e54fde94aaea2e431ac3f5a7 https://doi.org/10.1093/qmath/haz009 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....e19db7a5e54fde94aaea2e431ac3f5a7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14643847 00335606 |
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