3 citations · 8 across the 8 of their papers we have counts for
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Distribution of square-free palindromes
Aleksandr Tuxanidy
An exponent of distribution 1/16 is established for square-free palindromes. The main input is an upper bound for the number of palindromes, in arithmetic progressions to large mod…
Infinitude of palindromic almost-prime numbers
Aleksandr Tuxanidy, Daniel Panario
It is proven that, in any given base, there are infinitely many palindromic numbers having at most six prime divisors, each relatively large. The work involves equidistribution est…
Irreducible polynomials with prescribed sums of coefficients
Aleksandr Tuxanidy, Qiang Wang
Let be a power of a prime, let be the finite field with elements and let . For a polynomial of degree …
A new proof of the Hansen-Mullen irreducibility conjecture
Aleksandr Tuxanidy, Qiang Wang
We give a new proof of the Hansen-Mullen irreducibility conjecture. The proof relies on an application of a (seemingly new) sufficient condition for the existence of elements of de…
Compositional inverses, complete mappings, orthogonal Latin squares and bent functions
Aleksandr Tuxanidy, Qiang Wang
We study compositional inverses of permutation polynomials, complete mappings, mutually orthogonal Latin squares, and bent vectorial functions. Recently it was obtained in [33] the…
On the number of -free elements with prescribed trace
Aleksandr Tuxanidy, Qiang Wang
In this paper we derive a formula for the number of -free elements over a finite field with prescribed trace, in particular trace zero, in terms of Gaussian perio…
On the inverses of some classes of permutations of finite fields
Aleksandr Tuxanidy, Qiang Wang
We study the compositional inverses of some general classes of permutation polynomials over finite fields. We show that we can write these inverses in terms of the inverses of two…
Composed Products and Explicit Factors of Cyclotomic Polynomials over Finite Fields
Aleksandr Tuxanidy, Qiang Wang
Let be a power of a prime number and let be the finite field with elements. In this paper we obtain the explicit factorization of the cyclotomic po…