More remarkable sinc integrals and sums

preprint2014arXivOpen access

Abstract

We use Poisson summation formula to calculate integrals of producs of sinc functions (cf. [4]) and related integrals as in [5] and [3]. We also generalize the one in [5] and introduce other remarkable integrals. Finally we give a sum version of Siegel-type lower bound. (cf. [2], Theorem 3)

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