Journal title
International Journal of Number Theory
DOI
10.1142/S1793042118501415
Issue
8
Volume
14
Last updated
2024-04-10T03:01:51.833+01:00
Page
2317-2331
Abstract
We study the analytic behavior of adelic versions of Igusa integrals given by integer polynomials defining elliptic curves. By applying results on the meromorphic continuation of symmetric power L-functions and the Sato–Tate conjectures, we prove that these global Igusa zeta functions have some meromorphic continuation until a natural boundary beyond which no continuation is possible.
Symplectic ID
860007
Submitted to ORA
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Publication type
Journal Article
Publication date
03 Jul 2018