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 |
Acceso al artículo completo |