# Journal of the Ramanujan Mathematical Society

Volume 35, Issue 1, March 2020 pp. 81–94.

A finiteness theorem for positive definite almost n-regular quadratic forms

**Authors**:
Inhwan Lee, Byeong-Kweon Oh and Hoseog Yu

**Author institution:**Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea

**Summary: **
A (positive definite integral) quadratic form is called almost
n-regular if it represents almost all quadratic forms of rank
n that are represented by its genus. For any integer n ≥ 2,
it will be shown that there are only finitely many similarity
classes of almost n-regular quadratic forms of rank n + 3.

Contents
Full-Text PDF