On Bernoulli identities and applications.

Título inglés On Bernoulli identities and applications.
Título español Sobre las identidades de Bernoulli y aplicaciones.
Autor/es Eie, Minking ; Lai, King F.
Organización Dep. Math. Nat. Chung Cheng Univ. Ming-Shiung, Chia-Yi, Taiwan;Sch. Math. Statist. Univ. Sydney, Sydney, Australia
Revista 0213-2230
Publicación 1998, 14 (1): 167-213, 16 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include some of the classical results of Euler and Ramanujan. Kummer's congruences play important roles in the investigation of p-adic interpolation of the classical Riemann zeta function (...).
Clasificación UNESCO 120504
Palabras clave español Función zeta ; Números de Bernoulli ; Congruencia
Código MathReviews MR1639299
Código Z-Math Zbl 0997.11018
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