Priyanka Dhankhar

activity

20242026

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2 papers · 1 filter

math.NT2025

A generalization of Ramanujan's sum over finite groups

Monu Kadyan, Priya, Sanjay Kumar Singh

Let $G$ be a finite group, and let $x \in G$ . Define $[x^{G}] := {y \in G : ⟨ x^{G} ⟩ = ⟨ y^{G} ⟩}$ , where $⟨ x^{G} ⟩$ denotes the normal subgroup o…

math.CO2025

Gauss sum with principal multiplicative character

Priya Dhankhar, Sanjay Kumar Singh

Let $R$ be a finite ring with unity, $ψ : R \to C^{\times}$ be an additive character of $R$ , and $ χ_0 $ be the principal multiplicative character ( $i . e .$ , $χ_0(x) = 1 \qua…