Rapidly convergent series for the Weierstrass zeta-function and the Kronecker function

Mathematical Research Letters

Volumn 7, Issue 4, 2000, Pages 493-502

  Polishchuk, A ^a  

^a Boston University   (United States)

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EID: 0034348668     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2000.v7.n4.a15     Document Type: Article

References (8)

1. [1] E. Hecke, Zur Theorie der elliptischen Modulfunktionen, no. 23 in Mathematische Werke, p. 428-460, Göttingen, 1983.
2. [2] N. Katz, p-adic interpolation of real analytic Eisenstein series, Ann. of Math. 104 (1976), 459-571.
3. [3] L. Kronecker, Zur theorie der elliptischen functionen (1881), in Leopold Kronecker's Werke, vol. IV, 311-318. Chelsea Pub. Co., 1968.
4. [4] A. Polishchuk, Homological mirror symmetry with higher products, preprint math.AG/9901025.
5. ∞-structures on an elliptic curve, preprint math.AG/0001048.
6. [6] G. Shimura, Theta functions with complex multiplication, Duke Math. J. 43(1976), 673-696.
7. [7] A. Weil, Elliptic functions according to Eisenstein and Kronecker, Ergebnisse der Mathematik und ihrer Grenzgebiete 88, Springer-Verlag, 1976.
8. [8] D. Zagier, Periods of modular forms and Jacobi theta functions, Invent. Math. 104 (1991), 449-465.