Combinatorial relations for Euler-Zagier sums
Hirofumi Tsumura (2004)
Acta Arithmetica
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Displaying similar documents to “Experimental evaluation of Euler sums.”
Combinatorial relations for Euler-Zagier sums
On the evaluation of Euler sums.
Crandall, Richard E., Buhler, Joe P. (1994)
Experimental Mathematics
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Consecutive evaluation of Euler sums.
Boyadzhiev, Khristo N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Explicit evaluations of quadruple Euler sums
Yao Lin Ong, Minking Eie, Chuan-Sheng Wei (2010)
Acta Arithmetica
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Central binomial sums, multiple Clausen values, and zeta values.
Borwein, Jonathan Michael, Broadhurst, David J., Kamnitzer, Joel (2001)
Experimental Mathematics
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A -analog of Euler's decomposition formula for the double zeta function.
Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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A generalization of Rademacher's reciprocity law
Sandro Bettin (2013)
Acta Arithmetica
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We generalize Rademacher's reciprocity formula for the Dedekind sum to a family of cotangent sums. One of the sums in this family is strictly related to the Vasyunin sum, a function defined on the rationals that is relevant to the Nyman-Beurling-Báez-Duarte approach to the Riemann hypothesis.
On differential independence of the Riemann zeta function and the Euler gamma function
Bao Qin Li, Zhuan Ye (2008)
Acta Arithmetica
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Computer-free evaluation of an infinite double sum via Euler sums.
Panholzer, Alois, Prodinger, Helmut (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Euler constants for a Fuchsian group of the first kind
Muharem Avdispahić, Lejla Smajlović (2008)
Acta Arithmetica
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A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function
M. C. Lettington (2013)
Acta Arithmetica
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We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli...
Multiple finite Riemann zeta functions
Kazufumi Kimoto, Nobushige Kurokawa, Sho Matsumoto, Masato Wakayama (2005)
Acta Arithmetica
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Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.)
Hoang Ngoc Minh, Jacob, Gérad, Petitot, Michel, Oussous, Nour Eddine (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Evaluation of Euler-Zagier sums.
Boyadzhiev, Khristo (2001)
International Journal of Mathematics and Mathematical Sciences
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A note on colored Tornheim's double series.
Zhao, Jianqiang (2010)
Integers
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