Article contents
Orbital $L$-functions for the Space of Binary Cubic Forms
Published online by Cambridge University Press: 20 November 2018
Abstract
We introduce the notion of orbital $L$-functions for the space of binary cubic forms and investigate their analytic properties. We study their functional equations and residue formulas in some detail. Aside from their intrinsic interest, the results from this paper are used to prove the existence of secondary terms in counting functions for cubic fields. This is worked out in a companion paper.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2013
References
- 7
- Cited by