TY  - BOOK
AU  - Roy,Ranjan
TI  - Elliptic and modular functions: from Gauss to Dedekind to Hecke 
SN  - 9781107159389 (hardback : alk. paper)
U1  - 515.983 23
PY  - 2017///
CY  - Cambridge : 
PB  - Cambridge University Press, 
KW  - Elliptic functions
KW  - Modular functions
KW  - Functions
N1  - 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
N2  - A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources
ER  -