Effective Estimates for the Distribution of Values of Euler Products |
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Authors: | Ernesto Girondo Jörn Steuding |
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Institution: | (1) Universidad Autónoma de Madrid, Spain |
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Abstract: | We prove effective upper bounds for the almost periodicity of polynomial Euler products
in the half-plane of absolute convergence. From this we deduce estimates for the roots of the equation
, where c is any non-zero complex number which is attained by
. The method relies mainly on effective diophantine approximation.The first author was supported by a grant of the Humboldt Foundation. |
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Keywords: | 2000 Mathematics Subject Classifications: 11M06 11M41 11J13 |
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