Generalizations of Iwasawa's 'Riemann-Hurwitz' Formula for Cyclic p-Extensions of Number Fields

Autor:	Jordan Schettler
Rok vydání:	2012
Předmět:	Pure mathematics Algebra and Number Theory Degree (graph theory) Mathematics - Number Theory Mathematics::Number Theory Algebraic number field Congruence relation Riemann–Hurwitz formula symbols.namesake 11R23 Integer symbols FOS: Mathematics Number Theory (math.NT) Real number Mathematics
DOI:	10.48550/arxiv.1211.4140
Popis:	We produce generalizations of Iwasawa's `Riemann-Hurwitz' formula for number fields. These generalizations apply to cyclic extensions of number fields of degree p^n for any positive integer n. We first deduce some congruences and inequalities and then use these formulas to establish a vanishing criterion for Iwasawa \lambda-invariants which generalizes a result of Takashi Fukuda et. al. for totally real number fields. Comment: 13 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7a03ca5589f3b70e548203fe6744915 Zobrazit plný text záznamu