TY - JOUR
T1 - Bowman-Bradley type theorem for finite multiple zeta values
AU - Saito, Shingo
AU - Wakabayashi, Noriko
N1 - Funding Information:
2010 Mathematics Subject Classification. Primary 11M32; Secondary 05A19. Key words and phrases. Finite multiple zeta value, Bowman-Bradley theorem. The first author is supported by the Grant-in-Aid for Young Scientists (B) No. 26800018, Japan Society for the Promotion of Science.
Publisher Copyright:
© 2016 Tohoku University Mathematical Institute. All rights reserved.
PY - 2016
Y1 - 2016
N2 - The multiple zeta values are multivariate generalizations of the values of the Riemann zeta function at positive integers. The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3, 1, . . ., 3, 1 add up to a rational multiple of a power of π. We show that an analogous theorem holds in a very strong sense for finite multiple zeta values, which have been investigated by Hoffman and Zhao among others and recently recast by Zagier.
AB - The multiple zeta values are multivariate generalizations of the values of the Riemann zeta function at positive integers. The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3, 1, . . ., 3, 1 add up to a rational multiple of a power of π. We show that an analogous theorem holds in a very strong sense for finite multiple zeta values, which have been investigated by Hoffman and Zhao among others and recently recast by Zagier.
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U2 - 10.2748/TMJ/1466172771
DO - 10.2748/TMJ/1466172771
M3 - Article
AN - SCOPUS:85028029109
VL - 68
SP - 241
EP - 251
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
SN - 0040-8735
IS - 2
ER -