Arithmetic Milnor invariants and multiple power residue symbols in number fields: a précis (Algebraic Number Theory and Related Topics 2014)

Autor: Morishita, Masanori
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: 数理解析研究所講究録別冊. :143-152
ISSN: 1881-6193
Popis: This is a research announcement of my joint work with Fumiya Amano [AM] concerning a generalization of the Legendre, power residue symbols and the Rédei triple symbol. Such a generalization was firstly discussed by the author at the conference "Algebraic number theory and related topics (2000)" [Mo2]. Afterwards, a significant progress was made by Amano on the 4-tuple quadratic residue symbol over the rationals [A2], and now we are able to introduce n-tuple m-th power residue symbols for primes of a number field.
"Algebraic Number Theory and Related Topics 2014". December 1~5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
Databáze: OpenAIRE