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- W2098046865 abstract "We provide an explicit formula for the Tornheim double series T(a,0,c) in terms of an integral involving the Hurwitz zeta function. For integer values of the parameters, a=m, c=n, we show that in the most interesting case of even weight N:=m+n the Tornheim sum T(m,0,n) can be expressed in terms of zeta values and the family of integrals % int_0^1 loggamma(q) B_{k}(q) Cl_{j+1} (2 pi q) dq, % with k+j = N, where B_{k}(q) is a Bernoulli polynomial and Cl_{j+1}(x) is a Clausen function." @default.
- W2098046865 created "2016-06-24" @default.
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- W2098046865 date "2008-11-04" @default.
- W2098046865 modified "2023-09-22" @default.
- W2098046865 title "The evaluation of Tornheim double sums. Part2" @default.
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