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Some formulas for the coefficients of Drinfeld modular forms

✍ Scribed by So Young Choi


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
136 KB
Volume
116
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


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In this article we ΓΏnd self-recursion formulas for super-replicable functions N(j1;N ) (N = 2; 6; 8; 10; 12), from which we see that their Fourier coe cients can be determined only by the ΓΏrst four ones.

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✍ Kenji Koike; Hironori Shiga πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 188 KB

In this paper we study the Picard modular forms and show a new three terms arithmetic geometric mean (AGM) system. This AGM system is expressed via the Appell hypergeometric function of two variables. The Picard modular forms are expressed via the theta constants, and they give the modular function