TY - JOUR
T1 - The Bowman-Bradley theorem for multiple zeta-star values
AU - Kondo, Hiroki
AU - Saito, Shingo
AU - Tanaka, Tatsushi
PY - 2012/9
Y1 - 2012/9
N2 - Text: 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 establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman. Video: For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=LpqA2OJ6vP8.
AB - Text: 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 establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman. Video: For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=LpqA2OJ6vP8.
UR - http://www.scopus.com/inward/record.url?scp=84861423160&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84861423160&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2012.03.012
DO - 10.1016/j.jnt.2012.03.012
M3 - Article
AN - SCOPUS:84861423160
SN - 0022-314X
VL - 132
SP - 1984
EP - 2002
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 9
ER -