B. Battseren

activity

20202025

collaborators

3 papers

math.NT2025

A quadratic form of $p = 3 k + 1$ primes

Bat-Od Battseren, Bayarmagnai Gombodorj

We use Zagier's one-sentence proof approach to show that a prime number $p$ admits a form $p = a^{2} + ab + b^{2}$ for some integers $a$ and $b$ if and only if $p = 3$ or $p \equiv 1 (mod 3)$ .

math.GR2022

Quasi-Hermitian pair and co-amenability

Bat-Od Battseren

We adapt the notion of quasi-Hermition group to the pairs $(G, H)$ of discrete group $G$ and its subgroup $H$ . We show that a quasi-Hermitian pair is amenable in the sense of Eymard…

math.FA2020

On the growth of Fourier multipliers

Bat-Od Battseren

We define a sequence of functions, namely tame cuts, in the Fourier algebra $A (G)$ of a locally compact group $G$ , that satisfies certain convergence and growth conditions. This ne…

A quadratic form of p=3k+1 primes

Quasi-Hermitian pair and co-amenability

On the growth of Fourier multipliers

A quadratic form of $p = 3 k + 1$ primes