Several weighted sum formulas of multiple zeta values
2017 ◽
Vol 13
(09)
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pp. 2253-2264
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Keyword(s):
For a real number [Formula: see text] and positive integers [Formula: see text] and [Formula: see text] with [Formula: see text], we evaluate the sum of multiple zeta values [Formula: see text] explicitly in terms of [Formula: see text] and [Formula: see text]. The special case [Formula: see text] gives an evaluation of [Formula: see text]. An explicit evaluation of the multiple zeta-star value [Formula: see text] is also obtained, as well as some applications to evaluation of multiple zeta values with even arguments.
2013 ◽
Vol 09
(05)
◽
pp. 1185-1198
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Keyword(s):
2019 ◽
Vol 15
(01)
◽
pp. 167-171
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2018 ◽
Vol 14
(10)
◽
pp. 2617-2630
Keyword(s):
2013 ◽
Vol 09
(03)
◽
pp. 783-798
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2015 ◽
Vol 85
(1)
◽
pp. 23-41
Keyword(s):