Sushma Palimar

activity

20122023

most citedMersenne Primes in Real Quadratic Fields

4 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2023

Iterates of polynomials over $\F_q(t)$ and their Galois groups

Sushma Palimar

A conjecture of Odoni stated over Hilbertian fields $K$ of characteristic zero asserts that for every positive integer $d$ , there exists a polynomial $f \in K [x]$ of degree $d$ such…

math.NT2021

Iterates of prime producing polynomials and their Galois groups

Sushma Palimar

Let $\F_q$ be a finite field of characteristic $p > 0$ . We prove that, given $F(t,x)\in \F_q[t][x]$ an irreducible separable monic polynomial in the variable $x$ and a generic monic…

math.NT2019

Prime polynomial values of quadratic functions in short intervals

Sushma Palimar

In this paper we establish the function field analogue of Bateman-Horn conjecture in short interval in the limit of a large finite field. Hence we start with counting prime polynom…

math.NT2019

Twin prime polynomials in function field

Sushma Palimar

We resolve the function field analogue of the conjecture concerning distribution of twin primes in arithmetic progression.

math.NT2015

Primes of the form $x^{2} + d y^{2}$ with $x \equiv 0 (mod N)$ or $y \equiv 0 (mod N)$

Sushma Palimar, Ambedkar Dukkipati

In this paper we charatcterize primes of the form $x^{2} + d y^{2}$ with $x \equiv 0 (mod N)$ or $y \equiv 0 (mod N)$ for positive integer $N$ and $d$ with $d$ being square free.

math.NT2014★ 1 cited

Gaussian Mersenne Primes of the form $x^{2} + d y^{2}$

Sushma Palimar, Ambedkar Dukkipati

In this paper we study Gaussian ring $Z [i]$ with a focus on representing Gaussian Mersenne primes $G_{p}$ in the form $x^{2} + 7 y^{2}$ . Interestingly when such a form exists, one can obse…

math.NT2013

Hensel's Lemma, Backward Dynamics and p-adic Approximations

Sushma Palimar

The problem of backward dynamics over the ring of p-adic integers is studied. It is shown that Inverse Limit Theory provides the right framework. Backward iterations of a polynomia…

math.NT2012★ 4 cited

Mersenne Primes in Real Quadratic Fields

Sushma Palimar, Shankar B. R

The concept of Mersenne primes is studied in real quadratic fields of class number 1. Computational results are given. The field $Q (2)$ is studied in detail with a focus on…

Iterates of polynomials over $\F_q(t)$ and their Galois groups

Iterates of prime producing polynomials and their Galois groups

Prime polynomial values of quadratic functions in short intervals

Twin prime polynomials in function field

Primes of the form x2+dy2 with x≡0(modN) or y≡0(modN)

Gaussian Mersenne Primes of the form x2+dy2

Hensel's Lemma, Backward Dynamics and p-adic Approximations

Mersenne Primes in Real Quadratic Fields

Primes of the form $x^{2} + d y^{2}$ with $x \equiv 0 (mod N)$ or $y \equiv 0 (mod N)$

Gaussian Mersenne Primes of the form $x^{2} + d y^{2}$