Bernoulli numbers and multiple zeta values
Takashi Nakamura
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 81, Number 2
(2005), 21-22.
Abstract
We show an apparently new expression of Bernoulli numbers, simultaneously we give an expression of multiple zeta values $\zeta(2m, 2m, \dots, 2m)$.
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11M41
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1116442054
Mathematical Reviews number (MathSciNet): MR2126071
Zentralblatt MATH identifier: 02243062
Digital Object Identifier: doi:10.3792/pjaa.81.21
References
H. W. Gould, Explicit formulas for Bernoulli numbers, Amer. Math. Monthly 79 (1972), 44--51.
Mathematical Reviews (MathSciNet): MR306102
D. Zagier, Values of zeta functions and their applications, in First European Congress of Mathematics, Vol. II (Paris, 1992), 497--512, Progr. Math., 120, Birkhäuser, Basel, 1994.
Mathematical Reviews (MathSciNet): MR1341859
Zentralblatt MATH: 0822.11001
D. Zagier, Multiple zeta values. (Unpublished manuscript).
Proceedings of the Japan Academy, Series A, Mathematical Sciences
