3 citations · 4 across the 17 of their papers we have counts for
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Relative integral spinor norm groups over dyadic local fields
Constantin-Nicolae Beli
We give explicit formulas for the relative integral spinor norm group in the case when the base field is a local dyadic field.
Four conjectures by Zhi-Hong Sun
Constantin N. Beli
We prove some results conjectured by Zhi-Hong Sun regarding the value of , where is a unit of norm in some fields $\mathb…
Universal integral quadratic forms over dyadic local fields
Constantin N. Beli
A quadratic form over a non-archimedian local field of characteristic zero is called universal if it is integral and it represents all non-zero integers of . Xu Fei and Zhan…
Representations of quadratic lattices over dyadic local fields
Constantin-Nicolae Beli
Given two quadratic lattices and over a dyadic local field , i.e. a finite extension of , we give necessary and sufficient conditions such that represen…
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 , let be the smallest integer such that if an integral quadratic form in variables can be written as a sum of squares of integra…
Reciprocity laws for Legendre symbols of the type - Long Version
Constantin-Nicolae Beli
We announce a very general statement involving the rational quartic residue symbol and, more generally, Legendre symbols of the type ${a+b\sqrt{m}/p$. We show how our mai…
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…