Srijonee Shabnam Chaudhury

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20202022

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math.NT2022

A Matrix Analogue of Schur-Siegel-Smyth Trace Problem

Srijonee Shabnam Chaudhury

Let $S$ be the set of all positive-definite, symmetrizable integer matrices with non-zero upper and lower diagonal and $T$ to be the set of all positive-definit…

math.NT2021

Sums of squares of integer-multiple of an integral element on real bi-quadratic fields

Srijonee Shabnam Chaudhury

For any given positive integer $m$ we construct certain totally positive algebraic integers $α$ of a real bi-quadratic field $K$ and obtain some necessary conditions for which $m α$ …

math.NT2021

Sums of integral squares in complex bi-quadratic fields and in CM fields

Srijonee Shabnam Chaudhury

Let $K$ be a complex bi-quadratic field with ring of integers $O_{K}$ . For $K = Q (- m$ , $n$ ), where $m \equiv 3 (mod 4)$ and $n \equiv 1 (mod 4)$ …

math.NT2020

Sums of Integral Squares In Certain Complex Bi-quadratic Fields

Srijonee Shabnam Chaudhury

Let K be an algebraic number field and O_K be its ring of integers. Let S_K be the set of elements in O_K which are sums of squares in O_K and s(O_K) the minimal number of squares…