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A Generalized Davenport Expansion

Published 17 May 2020 in math.NT | (2005.08279v2)

Abstract: We prove a new generalization of Davenport's Fourier expansion of the infinite series involving the fractional part function over arithmetic functions. A new Mellin transform related to the Riemann zeta function is also established.

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Authors (1)

  1. Alexander E Patkowski 

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