Srinivas Kotyada

activity

20112025

most citedA note on Euclidean cyclic cubic fields

4 citations · 4 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.NT2025

Oscillations and first-ever negative Fourier coefficients of symmetric square L-functions over sparse set

Srinivas Kotyada, Lalit Vaishya

Let $sy m^{2} f$ denote the symmetric square lift of a Hecke eigenform $f \in S_{k} (Γ_{0} (N))$ with the $n^{th}$ -Fourier coefficients $λ_{sy m^{2} f} (n)$ . In this article, we pro…

math.NT2024

Parameterized families of quadratic fields with $n$ -rank at least 2

Azizul Hoque, Srinivas Kotyada

We construct parameterized families of imaginary (resp. real) quadratic fields whose class groups have $n$ -rank at least $2$ .

math.NT2023

On the irreducibility of extended Laguerre Polynomials

Anuj Jakhar, Srinivas Kotyada, Arunabha Mukhopadhyay

Let $m \geq 1$ and $a_{m}$ be integers. Let $α$ be a rational number which is not a negative integer such that $α = \frac{u}{v}$ with $g cd (u, v) = 1, v > 0$ . Let $ϕ (x)$ belonging to $\Z[…

math.NT2023

A short note on number fields defined by exponential Taylor polynomials

Anuj Jakhar, Srinivas Kotyada

Let $n$ be a positive integer and $f_{n} (x) = 1 + x + \frac{x ^{2}}{2 !} + \dots + \frac{x ^{n}}{n !}$ denote the $n$ -th Taylor polynomial of the exponential function. Let $K = Q (θ)$ be a…

math.NT2020

Class number one problem for the real quadratic fields $Q (m^{2} + 2 r)$

Azizul Hoque, Srinivas Kotyada

We investigate the class number one problem for a parametric family of real quadratic fields of the form $Q (m^{2} + 4 r)$ for certain positive integers $m$ and $r$ .

math.NT2017★ 4 cited

A note on Euclidean cyclic cubic fields

Srinivas Kotyada, Subramani Muthukrishnan

Let $K$ be a cyclic cubic field and $O_{K}$ be its ring of integers. In this note we prove that all cyclic cubic number fields with conductors in the interval $ [73, 11971]…