Central binomial sums, multiple Clausen values, and zeta values

Title: Central binomial sums, multiple Clausen values, and zeta values
Creator: Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
Relation: Experimental Mathematics Vol. 10, Issue 1, p. 25-34
Publisher Link: http://dx.doi.org/10.1080/10586458.2001.10504426
Publisher: A K Peters
Resource Type: journal article
Date: 2001
Description: We find and prove relationships between Riemann zeta values and central binomial sums. We also investigate alternating binomial sums (also called Apéry sums). The study of nonalternating sums leads to an investigation of different types of sums which we call multiple Clausen values. The study of alternating sums leads to a tower of experimental resuIts involving polylogarithms in the golden ratio.
Subject: binomial sums; multiple zeta values; log sine integrals; Clausen's function; multiple Clausen values; polylogarithms; Apéry sums
Identifier: http://hdl.handle.net/1959.13/940712
Identifier: uon:13066
Identifier: ISSN:1058-6458
Language: eng
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