Elliptic and modular functions : from Gauss to Dedekind to Hecke / Ranjan Roy.
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TextPublication details: Cambridge : Cambridge University Press, 2017.Description: xiii, 475 pages ; 26 cmISBN: - 9781107159389 (hardback : alk. paper)
- 515.983 23 R888
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.983 R888 (Browse shelf(Opens below)) | Available | 138049 |
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| 515.983 L271 Elliptic functions | 515.983 M346 Remarkable sine functions | 515.983 M415 Elliptic functions and transcendence | 515.983 R888 Elliptic and modular functions : | 515.983 SCH365 Elliptic Modular Functions | 515.983 Se471 Argos seminar on intersections of modular correspondences | 515.983 W422 Elliptic functions according to Eisenstein and Kronecker |
Includes bibliographical references and index.
1. The basic modular forms;
2. Gauss's contributions to modular forms;
3. Abel and Jacobi on elliptic functions;
4. Eisenstein and Hurwitz;
5. Hermite's transformation of theta functions;
6. Complex variables and elliptic functions;
7. Hypergeometric functions;
8. Dedekind's paper on modular functions;
9. The n function and Dedekind sums;
10. Modular forms and invariant theory;
11. The modular and multiplier equations;
12. The theory of modular forms as reworked by Hurwitz;
13. Ramanujan's Euler products and modular forms;
14. Dirichlet series and modular forms;
15. Sums of squares;
16. The Hecke operators;
Appendix.
A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.
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