The role of modular functions in a class-number problem
β Scribed by H.M. Stark
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 389 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Another derivation of an explicit parametrisation of Siegel's modular curve of level 5 is obtained with applications to the class number one problem.
For J 3 (n) = p 1 +p 2 +p 3 =n p 1 β‘a 1 (mod q 1 ) log p 1 log p 2 log p 3 , it is shown that for any A and any < 1/2, what improves a work of Tolev; S 3 (n) is the corresponding singular series. A special form of a sieve of Montgomery is used.
## Abstract Let __N__ β β and let __Ο__ be a Dirichlet character modulo __N__. Let __f__ be a modular form with respect to the group Ξ~0~(__N__), multiplier __Ο__ and weight __k__. Let __F__ be the __L__ βfunction associated with __f__ and normalized in such a way that __F__ (__s__) satisfies a fun