抄録
<jats:title>Abstract</jats:title><jats:p>In this paper, we consider certain double series analogous to Tornheim’s double series and real analytic Eisenstein series. By computing double integrals in two ways, we express the double series as a sum of products of polylogarithms. The technique generalises one given by Kanemitsu, Tanigawa and Yoshimoto. Evaluating the double series at particular points gives new evaluations for certain double series in terms of values of the Riemann zeta function and the dilogarithm which are analogues of formulas of Mordell and Goncharov.</jats:p>
収録刊行物
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- Bulletin of the Australian Mathematical Society
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Bulletin of the Australian Mathematical Society 86 (3), 461-472, 2011-12
Cambridge University Press (CUP)
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キーワード
詳細情報 詳細情報について
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- CRID
- 1360004233010470912
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- ISSN
- 17551633
- 00049727
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- データソース種別
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- Crossref
- KAKEN