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Certain sums of Mordell-Tornheim zeta values

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dc.contributor.author Pallewatta, M.
dc.date.accessioned 2019-01-18T06:36:44Z
dc.date.available 2019-01-18T06:36:44Z
dc.date.issued 2018
dc.identifier.citation Pallewatta, M. (2018). Certain sums of Mordell-Tornheim zeta values. Research Symposium on Pure and Applied Sciences, 2018 Faculty of Science, University of Kelaniya, Sri Lanka. p109. en_US
dc.identifier.uri http://repository.kln.ac.lk/handle/123456789/19559
dc.description.abstract The multiple zeta values are real numbers studied by many people in different fields. 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. In our research, we prove 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. Also, we obtain weighted sum formulas for double Mordell-Tornheim zeta values. Moreover, we present a sum formula for the Mordell-Tornheim series of even arguments. en_US
dc.language.iso en en_US
dc.publisher Research Symposium on Pure and Applied Sciences, 2018 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 Certain sums of Mordell-Tornheim zeta values en_US
dc.type Article en_US


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