Srinivas Kotyada

activity

20112025

most citedA note on Euclidean cyclic cubic fields

4 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

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]…

math.NT2016

Non-Wieferich primes in number fields and ABC conjecture

Srinivas Kotyada, Subramani Muthukrishnan

Let $K / Q$ be an algebraic number field of class number one and $O_{K}$ be its ring of integers. We show that there are infinitely many non-Wieferich primes with re…

math.NT2016

A note on the gaps between zeros of Epstein's zeta-functions on the critical line

Stephan Baier, Srinivas Kotyada, Usha Keshav Sangale

It is proved that Epstein's zeta-function $ζ_{Q} (s)$ , related to a positive definite integral binary quadratic form, has a zero $1/2 + iγ$ with $ T \leq γ\leq T + T^{{3/7} +\vareps…

math.NT2011

Divisibility of class numbers of imaginary quadratic function fields by a fixed odd number

Pradipto Banerjee, Srinivas Kotyada

In this paper we find a new lower bound on the number of imaginary quadratic extensions of the function field $F_{q} (x)$ whose class groups have elements of a fixed odd or…