D. Basnet

activity

20152026

most citedNil clean graph of rings

6 citations · 23 across the 36 of their papers we have counts for

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Showing 2026 · math.NTShow all

3 papers · 2 filters

math.NT2026

On Consecutive Non-primitive Elements over Finite Fields

Bidushi Sharma, Dhiren Kumar Basnet

In this article, we establish a bound on $θ_{q}$ that guarantees the existence of a pair of consecutive non-primitive elements in $F_{q}$ , with the exceptions $q = 4$ and $q = 8$ .…

math.NT2026

On some Non-Permutations of Quadratic Extension of Finite Field

Bidushi Sharma, Dhiren Kumar Basnet

In this article, we study polynomials over $F_{q^{2}}$ that do not permute $F_{q^{2}}$ . More precisely, we characterize polynomials of the forms $x^q + b x^2 + c x +…

math.NT2026

An estimate for incomplete mixed character sums and applications

Arpan Chandra Mazumder, Giorgos Kapetanakis, Sushant Kala +1

Let $q$ be a prime power and $m > 1$ be any integer. Let $F_{q^{m}}$ be the finite field of order $q^{m}$ and $θ \in F_{q^{m}}$ be such that $F_{q^{m}} = F (θ)$ .…