Some series whose coefficients involve the value ζ ( n ) for $n$ n odd

L. R. Bragg

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-5

Abstract:

By using two basic formulas for the digamma function, we derive a variety of series that involve as coefficients the values ( 2 n + 1 ) , n = 1 , 2 , ⋯ , of the Riemann-zeta function. A number of these have a combinatorial flavor which we also express in a trignometric form for special choices of the underlying variable. We briefly touch upon their use in the representation of solutions of the wave equation.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:867128

DOI: 10.1155/S0161171289000712

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