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math.NT2023
Iterates of polynomials over $\F_q(t)$ and their Galois groups
Sushma Palimar
A conjecture of Odoni stated over Hilbertian fields of characteristic zero asserts that for every positive integer , there exists a polynomial of degree such…
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.