More on the duality conjecture for entropy numbers
β Scribed by Shiri Artstein; Vitali D Milman; Stanislaw J Szarek
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 83 KB
- Volume
- 336
- Category
- Article
- ISSN
- 1631-073X
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## Abstract In this paper, we prove the weak __p__βpart of the Tamagawa number conjecture in all nonβcritical cases for the motives associated to Hecke characters of the form $\varphi ^a\overline{\varphi }^b$ where Ο is the Hecke character of a CM elliptic curve __E__ defined over an imaginary quad
For a finite Galois extension K/k of number fields, with Galois group G, the equivariant Tamagawa number conjecture of Burns and Flach relates the leading coefficients of Artin L-functions to an element of K 0 (Z[G], R) arising from the Tate sequence. This conjecture is known to be true for certain