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DC Field | Value | Language |
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dc.contributor.author | Pallewatta, M. | - |
dc.contributor.author | Kaneko, M. | - |
dc.date.accessioned | 2017-11-22T05:06:33Z | - |
dc.date.available | 2017-11-22T05:06:33Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Pallewatta, M., and Kaneko, M. (2017). On sum formulas for Mordell - Tornheim zeta values. International Research Symposium on Pure and Applied Sciences, 2017 Faculty of Science, University of Kelaniya, Sri Lanka.p69. | en_US |
dc.identifier.uri | http://repository.kln.ac.lk/handle/123456789/18197 | - |
dc.description.abstract | The multiple zeta values are real numbers which are studied by many people in different fields. The multiple zeta values with depth 1 are the Riemann zeta values. The sum formulas are considered as one of the most famous relations among multiple zeta values. In our research, we study a slightly different type of sums known as Mordell-Tornheim zeta values. Mordell-Tornheim zeta values can be expressed as a rational linear combination of multiple zeta values with same depth and weight. We have obtained new sum formulas for Mordell-Tornheim zeta values in the case of depth 2 and 3, expressing the sums as single multiples of Riemann zeta values. Moreover, we introduce reciprocity relations between the Mordell-Tornheim series of even arguments with depth 3 in terms of double and triple zeta values by using integrals of products of Bernoulli polynomials. | en_US |
dc.language.iso | en | en_US |
dc.publisher | International Research Symposium on Pure and Applied Sciences, 2017 Faculty of Science, University of Kelaniya, Sri Lanka. | en_US |
dc.subject | Mordell-Tornheim zeta values | en_US |
dc.subject | Multiple zeta values | en_US |
dc.subject | Riemann zeta values | en_US |
dc.subject | Sum formulas | en_US |
dc.title | On sum formulas for Mordell - Tornheim zeta values. | en_US |
dc.type | Article | en_US |
Appears in Collections: | IRSPAS 2017 |
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