Exploring the evolution from its 1950s origins, the work examines how Iwasawa theory expanded from ideal class groups in cyclotomic towers linked to p-adic L-functions to influential applications in elliptic curves and modular forms. It updates clas...Daugiau...
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to ??-adic ??-functions. The main motivation for writing this book was the need for...Daugiau...
The goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt-Kubota L-functions), and the Iwasawa main conjecture, which is a bridge b...Daugiau...
(Išleidimo metai: 11-Feb-2021, Hardback, Leidėjas: Mathematical Society of Japan, ISBN-13: 9784864970921)
The July 2017 sitting of the biennial Iwasawa Conference was held in Tokyo, and marked the centennial of Kenkichi Iwasawas (1917-98) birth by focusing on the development of Iwasawa theory. After personal memories of him, the 18 survey and resear...Daugiau...
