Article
Sur Les Puissances Des Polynomes Sur Un Corps Fini
Authors
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Abstract
Let \(\mathbb{F}\) be a finite field, \(Q\) a given element of \(\mathbb{F}[T]\)
with positive degree and \(k\) a positive integer. The goal of this work is
to study the \(Q\)-automaticity of the set of \(k\)th powers of elements of
\(\mathbb{F}[T]\) and to calculate the number of polynomials
\(X \in \mathbb{F}[T]\) of degree \(N\) such that the sum of digits of
\(X^k\) in base \(Q\) is fixed.
Keywords
Polynomes, corps finis, automates.
Citation
Car, M. & Mauduit, C. (2013). Sur les puissances des polynomes sur un corps fini. Uniform Distribution Theory, 8(2), 171–182.
M. Car and C. Mauduit, “Sur les puissances des polynomes sur un corps fini,” Uniform Distribution Theory, vol. 8, no. 2, pp. 171–182, 2013.
Car M, Mauduit C. Sur les puissances des polynomes sur un corps fini. Uniform Distribution Theory. 2013;8(2):171–182.
Car, M. and Mauduit, C. (2013), ‘Sur les puissances des polynomes sur un corps fini’, Uniform Distribution Theory, 8(2), pp. 171–182.
Car, Mireille, and Christian Mauduit. “Sur Les Puissances Des Polynomes Sur Un Corps Fini.” Uniform Distribution Theory, vol. 8, no. 2, 2013, pp. 171–182.
Car, Mireille, and Christian Mauduit. “Sur Les Puissances Des Polynomes Sur Un Corps Fini.” Uniform Distribution Theory 8, no. 2 (2013): 171–182.
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Published by: Engineering Journals
