Sprang, Johannes (2019) EISENSTEIN-KRONECKER SERIES VIA THE POINCARe BUNDLE. FORUM OF MATHEMATICS SIGMA, 7: e34. ISSN 2050-5094,
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A classical construction of Katz gives a purely algebraic construction of Eisenstein-Kronecker series using the Gau beta-Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and p-adic properties of real-analytic Eisenstein series. In the first part of this paper we provide an alternative algebraic construction of Eisenstein-Kronecker series via the Poincare bundle. Building on this, we give in the second part a new conceptional construction of Katz' two-variable p-adic Eisenstein measure through p-adic theta functions of the Poincare bundle.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | P-ADIC INTERPOLATION; ELLIPTIC POLYLOGARITHM; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Mar 2020 09:11 |
| Last Modified: | 27 Mar 2020 09:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26202 |
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