C. Beli

activity

20092026

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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.NT2020

Universal integral quadratic forms over dyadic local fields

Constantin N. Beli

A quadratic form over a non-archimedian local field of characteristic zero $F$ is called universal if it is integral and it represents all non-zero integers of $F$ . Xu Fei and Zhan…

math.GR2020

Explicit formulas for the cohomology of the elementary abelian $p$ -groups

Constantin-Nicolae Beli

Let $G$ be an elementary abelian $p$ -group, $G ≅ F_{p}^{r}$ and let $s_{1}, \dots, s_{r}$ be a basis of $G$ over $F_{p}$ . Let $V$ be the dual of $G$ , $V={\rm Hom}(G,{\ma…

Four conjectures by Zhi-Hong Sun

Universal integral quadratic forms over dyadic local fields

Explicit formulas for the cohomology of the elementary abelian p-groups

Explicit formulas for the cohomology of the elementary abelian $p$ -groups