More remarkable sinc integrals and sums

2014/05/06 by Gert Almkvist, Almkvist, Gert, Jan Gustavsson +1
Mathematics · #26D15 #33B10 #42A16 #42A38 #42B10 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1405.1265

openalex publication_date 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)

Citations

• A remark concerning sinc integrals

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