C. Beli

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20092020

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math.NT2020

Four conjectures by Zhi-Hong Sun

Constantin N. Beli

We prove some results conjectured by Zhi-Hong Sun regarding the value $mod p$ of $ε_{d}^{\frac{p - 1}{4}}$ , where $ε_{d}$ is a unit of norm $- 1$ in some fields $\mathb…

math.NT2017

On a Waring's problem for integral quadratic and hermitian forms

Constantin N. Beli, Wai Kiu Chan, Maria Ines Icaza +1

For each positive integer $n$ , let $g_{Z} (n)$ be the smallest integer such that if an integral quadratic form in $n$ variables can be written as a sum of squares of integra…

math.NT2009

A new approach to classification of integral quadratic forms over dyadic local fields

Constantin-Nicolae Beli

We translate O'Meara's classification Theorem 93:28 in terms of BONGs. BONGs, short for "basis of norm generators", are a new way of describing quadratic lattices, an alternative t…