Weber's class number problem and its variants

Autor:	Yoshizaki, Hyuga
Rok vydání:	2022
Předmět:	Mathematics - Number Theory Mathematics - Geometric Topology Primary 11R29 11R58 57M12 Secondary 11E95 11R23 11R27 14H52 57K14
Druh dokumentu:	Working Paper
Popis:	We survey Weber's class number problem and its variants in the spirit of arithmetic topology; we recollect some history, present a relation to certain units and generalized Pell's equation, and overview a study of the $p$-adic limits of class numbers in $\mathbb{Z}_p$-towers together with numerical investigation for knots and elliptic curves.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.15201 Zobrazit plný text záznamu View this record from Arxiv