논문KCI 등재
Euler sums evaluatable from integrals
대한수학회 (The Korean Mathematical Society)|2004.07|대한수학회논문집 (Communications of the KMS)|제19권 제3호|pp. 545-555
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Abstract
Ever since the time of Euler, the so-called Euler sums have been evaluated in many di??erent ways. We give here a proof of the classical Euler sum by following Lewin's method. We also consider some related formulas involving Euler sums, which are evaluatable from some known de¯nite integrals.
참고문헌 (19)
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관련 논문AI추천
Evaluations of some quadratic Euler sumsCe Xu, Xin Si대한수학회 · 대한수학회보2020 · 제57권 제2호Closed-form evaluations of certain cosecant integrals and associated series involving the Riemann zeta functionD. Cvijovic, H. M. Srivastava장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호Explicit evaluation of harmonic sumsCe Xu대한수학회 · 대한수학회논문집2018 · 제33권 제1호Some Generalizations of Beukers' IntegralsPetros Hadjicostas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호Shifted harmonic sums of order twoAnthony Sofo대한수학회 · 대한수학회논문집2014 · 제29권 제2호Some results on parametric Euler sumsCe Xu대한수학회 · 대한수학회보2017 · 제54권 제4호
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