多重ゼータ値
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2023/02/28 23:03 UTC 版)
数学、とくに整数論における多重ゼータ値（英: multiple zeta value）とは、
- ^ Don Zagier, "Values of zeta functions and their applications", First European Congress of Mathematics Paris, July 6–10, 1992. Birkhäuser Basel, 1994.
- ^ 荒川恒男、金子昌信、"多重ゼータ値入門"、COE レクチャーノート 23, 2010.
- ^ 金子昌信、"多重ゼータ値導入 -定義から正規化まで-"、第26回整数論サマースクール報告集、2018.
- ^ Minoru Hirose and Nobuo Sato. "Iterated integrals on and a class of relations among multiple zeta values", Advances in Mathematics 348 (2019): 163-182.
- ^ Gaku Kawashima, "A class of relations among multiple zeta values", Journal of Number Theory 129.4 (2009): 755-788.
- ^ Masanobu Kaneko and Shuji Yamamoto, "A new integral–series identity of multiple zeta values and regularizations", Selecta Mathematica 24.3 (2018): 2499-2521.
- ^ Andrew Granville, "A decomposition of Riemann's zeta-function", London Mathematical Society Lecture Note Series (1997): 95-102.
- ^ Shin-ichiro Seki and Shuji Yamamoto, "A new proof of the duality of multiple zeta values and its generalizations", International Journal of Number Theory 15.06 (2019): 1261-1265.
- ^ Yasuo Ohno, "A generalization of the duality and sum formulas on the multiple zeta values", Journal of Number Theory 74.1 (1999): 39-43.
- ^ Shin-ichiro Seki, "Connectors", RIMS Kôkyûroku 2160 (2020), 15–27.
- ^ Minoru Hirose, Nobuo Sato and Shin-ichiro Seki, "The connector for Double Ohno relation", Acta Arith. 201 (2021).
- ^ Kentaro Ihara, Masanobu Kaneko, and Don Zagier. "Derivation and double shuffle relations for multiple zeta values", Compos. Math. 142.2 (2006): 307-338.
- ^ Michael E. Hoffman and Yasuo Ohno. "Relations of multiple zeta values and their algebraic expression", J. Algebra 262 (2003), 332-347.
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