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黒川信重 研究業績一覧 (51件)
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論文
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Nobushige Kurokawa,
Yuichiro Taguchi,
Hidekazu Tanaka.
A p-analogue of the multiple Euler constant,
Kodai Mathematical Journal,
Vol. 42,
No. 2,
pp. 393--408,
2019.
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Nobushige Kurokawa,
Yuichiro Taguchi.
A p-analogue of Euler's constant and congruence zeta functions,
Proceedings of the Japan Academy,
Vol. 94,
pp. 13--16,
Feb. 2018.
-
Nobushige Kurokawa,
Takakazu Satoh.
Euclid prime sequences over unique factorization domains,
Exp. Math.,
A. K. Peters, Ltd.,
Vol. 17,
No. 2,
pp. 145-152,
July 2008.
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黒川信重.
新谷卓郎の二重三角関数,
数学のたのしみ,
No. 冬(1月),
2005.
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黒川信重.
素数の魅力と不思議,
数理科学,
No. 1月,
2005.
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Koyama Shin-ya,
Kurokawa Nobushige.
Euler's integrals and multiple sine functions,
Proceedings of the American Mathematical Society,
Vol. 133,
No. 5,
pp. 1257-1265,
2005.
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Kimoto Kazufumi,
Kurokawa Nobushige,
Matsumoto Sho,
Wakayama Masato.
Multiple finite Riemann zeta functions,,
Acta Arithmetica,
Vol. 116,
No. 2,
pp. 173-187,
2005.
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Hashimoto Yasufumi,
Iijima Yasuyuki,
Kurokawa Nobushige,
Wakayama Masato.
Euler's constants for the Selberg and the Dedekind zeta functions,
Bull. Belg. Math. Soc. Simon Stevin ,
Vol. 11,
No. 4,
pp. 493-516,
2005.
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nobushige kurokawa.
Absolute Frobenius operators,
Proc.Japan Acad. ,
80,
pp. 175-179,
2004.
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nobushige kurokawa.
Derivatives of multiple sine functions,
Proceedings of the Japan Academy ,
Vol. 80,
pp. 65-69,
2004.
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nobushige kurokawa.
A q-Mahler measure,
Proceedings of the Japan Academy ,
Vol. 80,
pp. 70-73,
2004.
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黒川信重.
現代代数学の歩み「セルバーグ」,
数学セミナー,
No. 11月,
2004.
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黒川信重.
双子素数問題について,
数学セミナー ,
No. 10月,
2004.
-
Kurokawa Nobushige,
Wakayama Masato.
Absolute tensor products,
International Math. Research Notices,
Vol. 2004,
No. 5,
pp. 249-260,
2004.
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Koyama Shin-ya,
Kurokawa Nobushige.
Multiple zeta functions :the double sine function and the signed double Poisson summation formula,
Compositio Math.,
Vol. 140,
pp. 1176-1190,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
Higher Selberg zeta functions,
Communications in Mathematical Physics,
Vol. 247,
pp. 447-466,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
A note on spectral zeta functions of quantum groups,
International J. Mathematics,
Vol. 15,
pp. 125-133,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
Zeta regularizations,
Acta Applicandae Mathematicae ,
Vol. 81,
pp. 147-166,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
Ruelle type zeta functions for tori and some arithmetics,,
International J. Mathematics,
Vol. 15,
pp. 691-715,
2004.
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Kimoto Kazufumi,
Kurokawa Nobushige,
Sonoki Chie,
Wakayama Masato.
Some examples of generalized zeta regularized products,
Kodai Math. J.,
Vol. 27,
321-335,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
A generalization of Lerch's formula,
Czechoslovak Mathematical Journal,
Vol. 54,
pp. 941-947,
2004.
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Koyama Shin-ya,
Kurokawa Nobushige.
Certain series related to the triple sine function,
J. Ramanujan Math. Soc.,
Vol. 19,
pp. 161-166,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
Zeta regularized product expressions for multiple trigonometirc functions,
Tokyo Journal of Mathematics,
Vol. 27,
pp. 459-480,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
Extremal values of double and triple trigonometric functions,
Kyushu J. Math.,
Vol. 58,
pp. 141-166.,
2004.
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Kurokawa Nobushige,
Wakayama Masato.
On q-analogues of the Euler constant and Lerch's limit formula,
Proceedings of the American Mathematical Society ,
Vol. 132,
935-943,
2004.
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黒川信重.
オイラーの三つのアイディア,
数学セミナー,
No. 10月,
2003.
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黒川信重.
ゼータと円周率,
数学文化,
No. 9月創刊,
2003.
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Kurokaws,
Nobushige; Koyama,
Shin-ya.
Normalized double sine functions,
Proceedings of the Japan Acaddemy ,
Vol. 79-A,
pp. 14-16,
2003.
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Kurokawa Nobushige,
Wakayama Masato.
Analyticity of polylogarithmic Euler products,
Rendiconti del Circolo Matematico di Palermo,
Vol. 52,
pp. 382-388,
2003.
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Kurokawa Nobushige,
Koyama Shin-ya.
Kummer's formula for multiple gamma functions,
J.Ramanujan Math.Soc. ,
Vol. 18,
pp. 87-107,
2003.
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Kurokawa Nobushige,
Ochiai Hiroyuki,
Wakayama Masato.
Absolute derivations and zeta functions,
Documenta Math.,
Vol. 2003(Kato Extra Vol),
pp. 565-584,
2003.
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Kaneko Masanobu,
Kurokawa Nobushige,
Wakayama Masato.
A variation of Euler's approach to values of the Riemann zeta function,,
Kyushu J. Math.,
Vol. 57,
pp. 175-192,
2003.
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Kurokawa Nobushige,
Koyama Shin-ya.
Multiple sine functions,
Forum Math.,
Vol. 15,
pp. 839 - 876,
2003.
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Kurokawa Nobushige,
Wakayama Masato.
Casimir effects on Riemann surfaces,
Indag.Math.(N.S.),
Vol. 13,
pp. 63-75,
2002.
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Kurokawa Nobushige,
Ochiai Hiroyuki,
Wakayama Masato.
Multiple trigonometry and zeta functions,
J. Ramanujan Math. Soc.,
Vol. 17,
pp. 101-113,
2002.
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Kurokawa Nobushige,
Eva-Marie Mueller-Stueler,
Ochiai Hiroyuki,
Wakayama Masato.
Kronecker's Jugendtraum and ring sine functions,
J. Ramanujan Math. Soc.,
Vol. 17,
pp. 211-220,
2002.
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黒川信重.
リーマン予想が解けて,
数学セミナー,
No. 1月,
2001.
-
黒川信重.
絶対数学の探求:1と2と3,
シュプリンガー・サイエンス,
Vol. 10,
No. 2,
1995.
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黒川信重.
無限次行列式,
数理科学,
No. 4月,
1995.
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黒川信重.
数からみた数学の進展,
日経サイエンス,
No. 6月,
1994.
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黒川信重.
超弦理論と数論,
素粒子論研究,
Vol. 74,
pp. D24-D39,
1987.
著書
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黒川信重.
絶対数学原論,
現代数学社,
Aug. 2016.
-
黒川信重.
絶対ゼータ関数論,
岩波書店,
Jan. 2016.
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黒川信重,
栗原將人,
斎藤毅.
数論 II,
岩波書店,
岩波書店,
2005.
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加藤和也,
黒川信重,
斎藤毅.
数論 I,
岩波書店,
岩波書店,
2005.
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黒川信重,
若山正人.
絶対カシミール元,
岩波書店,
岩波書店,
2002.
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黒川信重編著(梅田亨,
砂田利一,
若山正人,
黒川信重,
今井志保).
ゼータ研究所だより,
日本評論社,
日本評論社,
2002.
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Kato Kazuya,
Kurokawa Nobushige,
Saito Takeshi.
Number Theory. 1. Fermat's dream,
American Mathematical Society,
American Mathematical Society,
2000.
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梅田亨,
黒川信重,
若山正人,
中島さち子.
ゼータの世界,
日本評論社,
日本評論社,
1999.
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黒川信重.
数学の夢,
岩波書店,
岩波書店,
1998.
学位論文
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