๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the ring of integers of a tame Kummer extension over a number field

โœ Scribed by Humio Ichimura


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
271 KB
Volume
187
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the Invariant Factors of Kummer Order
โœ Yoshimasa Miyata ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 356 KB

Let Kร‚k be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi

Riesz Type Kernels over the Ring of Inte
โœ Shijun Zheng ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

Let O denote the ring of integers of a local field. In this note we prove an ร„ 4 ฯฑ approximation theorem for the Riesz type kernels โฅ over O. The proof , , n ns1 ลฝ . y1 requires a sharp estimate of the Dirichlet kernel D x on P \_ O, which may also n have independent interest. As a consequence we so

Extensions of abelian varieties defined
โœ Matthew A. Papanikolas; Niranjan Ramachandran ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with congruences between modular forms and special values of L-functions.