S. Singh

collaborators

3 papers

math.CO2026

Gauss sum with principal multiplicative character

Priya Dhankhar, Sanjay Kumar Singh

Let $R$ be a finite ring with unity, $I ¨ : R \to C^{\times}$ be an additive character of $R$ , and $ Ï_0 $ be the principal multiplicative character ( $i . e .$ , $Ï_0(x) = 1 \…

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

Spectral properties of Cayley graphs over finite commutative rings

Priya, Sanjay Kumar Singh

Let $R$ be a finite commutative ring with unity and $x$ be a non-zero element of $R$ . In this paper, we calculate the spectrum and energy of the Cayley graph $Cay (R, x R^{*})$ ,…