Автор: John Coates; Peter Schneider; R. Sujatha; Otmar Ve Название: Noncommutative Iwasawa Main Conjectures over Totally Real Fields ISBN: 3642443354 ISBN-13(EAN): 9783642443350 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.
Автор: Kenkichi Iwasawa Название: Hecke`s L-functions ISBN: 9811394946 ISBN-13(EAN): 9789811394942 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Поставка под заказ.
Описание: This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964. These notes give a beautiful and completely detailed account of the adelic approach to Hecke’s L-functions attached to any number field, including the proof of analytic continuation, the functional equation of these L-functions, and the class number formula arising from the Dedekind zeta function for a general number field. This adelic approach was discovered independently by Iwasawa and Tate around 1950 and marked the beginning of the whole modern adelic approach to automorphic forms and L-series. While Tate’s thesis at Princeton in 1950 was finally published in 1967 in the volume Algebraic Number Theory, edited by Cassels and Frohlich, no detailed account of Iwasawa’s work has been published until now, and this volume is intended to fill the gap in the literature of one of the key areas of modern number theory. In the final chapter, Iwasawa elegantly explains some important classical results, such as the distribution of prime ideals and the class number formulae for cyclotomic fields.
Автор: David Loeffler; Sarah Livia Zerbes Название: Elliptic Curves, Modular Forms and Iwasawa Theory ISBN: 331945031X ISBN-13(EAN): 9783319450315 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.
Автор: Thanasis Bouganis; Otmar Venjakob Название: Iwasawa Theory 2012 ISBN: 3662512211 ISBN-13(EAN): 9783662512210 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Lecture notes: C. Wuthrich: Overview of some Iwasawa theory.- X. Wan: Introduction to Skinner-Urban's Work on the Iwasawa Main Conjecture for GL₂.- Research and Survey articles: D. Benois: On extra zeros of p-adic L-functions: The crystalline case.- Th. Bouganis: On Special L-values attached to Siegel modular forms.- T. Fukaya et al: Modular symbols in Iwasawa theory.- T. Fukuda et al: Weber's class number one problem.- R. Greenberg: On p-adic Artin L-functions II.- M.-L. Hsieh: Iwasawa μ-invariants of p-adic Hecke L-functions.- S. Kobayashi: The p-adic height pairing on abelian varieties at non-ordinary primes.- J. Kohlhaase: Iwasawa modules arising from deformation spaces of p-divisible formal group laws.- M. Kurihara: The structure of Selmer groups for elliptic curves and modular symbols.- D. Loeffler: P-adic integration on ray class groups and non-ordinary p-adic L-functions.- T. Nguyen Quang Do: On equivariant characteristic ideals of real classes.- E. Urban: Nearly over convergent modular forms.- M. Witte: Non commutative L-functions for varieties over finite fields.- Z. Wojtkowiak: On $\widehat{\mathbb{Z}}$-zeta function.
Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.
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