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