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Absolute zeta functions and absolute automorphic forms

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Abstract We construct absolute zeta functions from absolute automorphic forms via the zeta regularization. We study analytic properties of absolute zeta functions. Especially we look at regularized Euler constants. We… Click to show full abstract

Abstract We construct absolute zeta functions from absolute automorphic forms via the zeta regularization. We study analytic properties of absolute zeta functions. Especially we look at regularized Euler constants. We show a generalization of Euler’s formula for the original Euler constant by using special values of absolute zeta functions.

Keywords: zeta functions; functions absolute; euler; absolute automorphic; absolute zeta; automorphic forms

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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