number theory

Kuroda's Class Number Formula

arXiv:2607.27034

summary

The paper provides an algebraic (non‑analytic) proof of the class number formula specifically for biquadratic extensions of number fields.

Abstract

We give a non-analytic proof of the class number formula for biquadratic extensions of number fields.

Topics & keywords

#class number formula#biquadratic extensions#algebraic number theory#number fields#non‑analytic proofsclass numberbiquadratic extensionDedekind zetaalgebraic proofnumber field
Kuroda's Class Number Formula · wovepaper