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math.NT2026
A Weil Sum Approach to Permutation Polynomials over Quadratic Extensions of Finite Fields
Bidushi Sharma, Dhiren Kumar Basnet
In this article, we introduce several classes of permutation polynomials over . More precisely, we characterize permutation polynomials of the forms $x^q + b x^2…
math.NT2026
An estimate for incomplete mixed character sums and applications
Arpan Chandra Mazumder, Giorgos Kapetanakis, Sushant Kala +1
Let be a prime power and be any integer. Let be the finite field of order and be such that $\mathbb F_{q^m} = \mathbb F(θ)…
math.NT2026
Orthomorphism Polynomials of degree over finite fields
Bhitali Kousik, Dhiren Kumar Basnet
In 2019, Xiang Fan \cite{xfan} classified all permutation polynomials of degree over finite fields of odd characteristics. In this paper, we use this classification to determin…