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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…
A Construction of Permutation Polynomials Using Rédei Function in Even Characteristic
Daniel Panario, Nihal Uyar, Qiang Wang
The Rédei function defined over a field of even characteristic has been introduced by Nöbauer in 1986 \cite{even}. In this paper, inspired by the work of Fu et al. \cite{wang} in o…
Functional graphs of generalized cyclotomic mappings of finite fields
Alexander Bors, Daniel Panario, Qiang Wang
The functional graph of a function is the directed graph with vertex set the edges of which are of the form for . Functional grap…
Comparing balanced -sequences obtained from ElGamal function to random balanced sequences
Daniel Panario, Lucas Pandolfo Perin, Brett Stevens
In this paper, we investigate the randomness properties of sequences in derived from permutations in using the remainder function modulo , wher…