Natural boundaries for Euler products of Igusa zeta functions of elliptic curves

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 mero...

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Bibliographic Details
Main Author: du Sautoy, M
Format: Journal article
Language:English
Published: World Scientific Publishing 2018