WEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULAS
2012 ◽
Vol 08
(08)
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pp. 1903-1921
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Keyword(s):
A typical formula of multiple zeta values is the sum formula which expresses a Riemann zeta value as a sum of all multiple zeta values of fixed weight and depth. Recently weighted sum formulas, which are weighted analogues of the sum formula, have been studied by many people. In this paper, we give two formulas of weighted sums with two parameters of multiple zeta values. As applications of the formulas, we find some linear combinations of multiple zeta values which can be expressed as polynomials of usual zeta values with coefficients in the rational polynomial ring generated by the two parameters, and obtain some identities for weighted sums of multiple zeta values.
2013 ◽
Vol 09
(05)
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pp. 1185-1198
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Keyword(s):
2015 ◽
Vol 93
(2)
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pp. 186-193
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Keyword(s):
2018 ◽
Vol 14
(10)
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pp. 2617-2630
Keyword(s):
2015 ◽
Vol 67
(3)
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pp. 1069-1076
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2019 ◽
Vol 101
(1)
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pp. 23-34
Keyword(s):
2017 ◽
Vol 28
(05)
◽
pp. 1750033
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Keyword(s):
2017 ◽
Vol 13
(03)
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pp. 705-716
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