Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Masanobu Kaneko"'
Autor:
Lin Weng, Masanobu Kaneko
This invaluable volume collects papers written by many of the world's top experts on L-functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also
This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with
Publikováno v:
Research in Number Theory. 8
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11a2d6302805fbe1f486a1ec08d2da1c
https://doi.org/10.1007/s40993-022-00328-7
https://doi.org/10.1007/s40993-022-00328-7
Autor:
Hirofumi Tsumura, Masanobu Kaneko
Publikováno v:
Tsukuba Journal of Mathematics. 44(2):213-234
We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the ‘shuffle counterpart’ of Hoffman's ‘odd variant’, exhibits nice properties
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99ab806d79f87ded0d7d16e0356c44fc
http://hdl.handle.net/2324/4755240
http://hdl.handle.net/2324/4755240
Autor:
Masanobu Kaneko, Yoshinori Mizuno
Publikováno v:
Journal of the London Mathematical Society. 102(1):69-98
An explicit form of genus character L-functions of quadratic orders is presented in full generality. As an application, we generalize a formula due to Hirzebruch and Zagier on the class number of imaginary quadratic fields expressed in term of the co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2f79a34814932addca2fe982260b390
http://hdl.handle.net/2324/4753061
http://hdl.handle.net/2324/4753061
Autor:
Masanobu Kaneko
Publikováno v:
Publications mathématiques de Besançon. Algèbre théorie des nombres. 1:103-129
We review some basic properties of multiple zeta values, in particular the theory of regularization and its connection to an identity between certain integral and series discovered in collaboration with S. Yamamoto. We also introduce the two “finit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1afc4367212b941859b598ae675c68b
http://hdl.handle.net/2324/4753055
http://hdl.handle.net/2324/4753055
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we call the Kawashima function, and deduced his relation by establishing se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::505bda17b5df7d7c15febdc95191c063
http://arxiv.org/abs/2011.14338
http://arxiv.org/abs/2011.14338
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 30:203-218
We prove a duality formula for certain sums of values of poly-Bernoulli polynomials which generalizes dualities for poly-Bernoulli numbers. We first compute two types of generating functions for these sums, from which the duality formula is apparent.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61db0d0dc688b59fa3c65a6a89de6ceb
https://doi.org/10.5802/jtnb.1023
https://doi.org/10.5802/jtnb.1023
Publikováno v:
Journal of Algebra. 485:332-352
We propose a third order generalization of the Kaneko–Zagier modular differential equation, which has two parameters. We describe modular and quasimodular solutions of integral weight in the case where one of the exponents at infinity is a multiple
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1b5355ff00956e60d66fcce12160b45
https://doi.org/10.1016/j.jalgebra.2017.05.007
https://doi.org/10.1016/j.jalgebra.2017.05.007
Autor:
Masanobu Kaneko, Hirofumi Tsumura
Publikováno v:
Various Aspects of Multiple Zeta Functions — in honor of Professor Kohji Matsumoto's 60th birthday, H. Mishou, T. Nakamura, M. Suzuki and Y. Umegaki, eds. (Tokyo: Mathematical Society of Japan, 2020)
We first review our previous works of Arakawa and the authors on two, closely related single-variable zeta functions. Their special values at positive and negative integer arguments are respectively multiple zeta values and poly-Bernoulli numbers. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d626eea498352a4fd81d051730d1fc2
https://projecteuclid.org/euclid.aspm/1590597088
https://projecteuclid.org/euclid.aspm/1590597088