On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions
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🧮 math.NT
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formulafunctionsapostol-dedekindeulerquasi-periodicreciprocityanalogueapostol
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The Apostol-Dedekind sum with quasi-periodic Euler functions is an analogue of Apostol's definition of the generalized Dedekind sum with periodic Bernoulli functions. In this paper, using the Boole summation formula, we shall obtain the reciprocity formula for this sum.
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