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| On Functional Relations for the Alternating Analogues of Tornheim's Double Zeta Function |
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Citation： |
Zhonghua LI.On Functional Relations for the Alternating Analogues of Tornheim's Double Zeta Function[J].Chinese Annals of Mathematics B,2015,36(6):907~918 |
| Page view： 1084
Net amount： 853 |
Authors： |
Zhonghua LI; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11471245) and the Shanghai Natural Science
Foundation (No.14ZR1443500). |
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| Abstract： |
In this paper, new proofs of two functional relations for the
alternating analogues of Tornheim's double zeta function are given.
Using the functional relations, the author gives new proofs of some
evaluation formulas found by Tsumura for these alternating series. |
Keywords： |
Tornheim's double zeta function, Riemann zeta function, Functional relations |
Classification： |
11M32, 40B05 |
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