The Lerch zeta function I. Zeta integrals
-
Jeffrey C. Lagarias
and
Wen-Ching Winnie Li
Abstract.
This is the first of four papers that study algebraic and
analytic structures associated to the Lerch zeta function.
This paper studies “zeta integrals” associated to the Lerch zeta function
using test functions, and obtains functional equations for them. Special cases include
a pair of symmetrized four-term functional equations
for combinations of Lerch zeta functions,
found by A. Weil, for real parameters
© 2012 by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Prelims
- The Lerch zeta function I. Zeta integrals
- The Lerch zeta function II. Analytic continuation
- Generalized Ramanujan conjecture over general imaginary quadratic fields
- Almost prime values of the order of elliptic curves over finite fields
-
Manifolds associated with
- A Steinness criterion for Stein fibrations
- Crown-free highly arc-transitive digraphs
- Pitt's inequality and the fractional Laplacian: Sharp error estimates
- On affine group actions on Stein manifolds
Articles in the same Issue
- Prelims
- The Lerch zeta function I. Zeta integrals
- The Lerch zeta function II. Analytic continuation
- Generalized Ramanujan conjecture over general imaginary quadratic fields
- Almost prime values of the order of elliptic curves over finite fields
-
Manifolds associated with
- A Steinness criterion for Stein fibrations
- Crown-free highly arc-transitive digraphs
- Pitt's inequality and the fractional Laplacian: Sharp error estimates
- On affine group actions on Stein manifolds
