𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the tamagawa number conjecture for hecke characters

✍ Scribed by Francesc Bars

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
268 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we prove the weak p‐part of the Tamagawa number conjecture in all non‐critical cases for the motives associated to Hecke characters of the form $\varphi ^a\overline{\varphi }^b$ where φ is the Hecke character of a CM elliptic curve E defined over an imaginary quadratic field K, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

📜 SIMILAR VOLUMES

On the Tamagawa Number Conjecture for CM
On the Tamagawa Number Conjecture for CM Elliptic Curves Defined Over Q
✍ Francesc Bars 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 206 KB

In this paper we prove, under the assumption that the Soule´regulator map is injective, that, for all integers k50, the description by the local Tamagawa number conjecture for CM elliptic curves defined over Q, corresponding to the values of their L-functions at k þ 2, is true.

On Meyniel's conjecture of the cop numbe
On Meyniel's conjecture of the cop number
✍ Linyuan Lu; Xing Peng 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

## Abstract Meyniel conjectured that the cop number __c__(__G__) of any connected graph __G__ on __n__ vertices is at most for some constant __C__. In this article, we prove Meyniel's conjecture in special cases that __G__ has diameter 2 or __G__ is a bipartite graph of diameter 3. For general con

On the Fontaine–Mazur Conjecture for Num
On the Fontaine–Mazur Conjecture for Number Fields and an Analogue for Function Fields
✍ Joshua Brandon Holden 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 339 KB

The Fontaine Mazur Conjecture for number fields predicts that infinite l-adic analytic groups cannot occur as the Galois groups of unramified l-extensions of number fields. We investigate the analogous question for function fields of one variable over finite fields, and then prove some special cases

Confirming the Kleitman–Winston Conjectu
Confirming the Kleitman–Winston Conjecture on the Largest Coefficient in a q-Catalan Number
✍ Jeong Han Kim; Boris Pittel 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 114 KB

In 1983 Kleitman and Winston conjectured that the largest coefficient in an n th q-Catalan number is of order O(4 n Ân 3Â2 ). Assuming its truth, they proved that the total number of n-tournament score sequences is O(4 n Ân 5Â2 ), thus matching their own lower bound. Our purpose is to confirm the co