Primitive values of rational functions at primitive elements of a finite field

Stephen D. Cohen, Hariom Sharma, R. K. Sharma

Type: Article

Publication Date: 2020-10-28

Citations: 13

DOI: https://doi.org/10.1016/j.jnt.2020.09.017

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Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

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+	On the existence of r-primitive pairs $$(\alpha ,f(\alpha ))$$ in finite fields	2022	Hanglong Zhang Xiwang Cao
+ PDF Chat	The number of rational points of a class of superelliptic curves	2023	José Alves Oliveira Débora de Olíveira Fabio Enrique Brochero Martínez
+	Arithmetic Progressions of r-Primitive Elements in a Field	2024	Jyotsna Sharma Ritumoni Sarma Shanta Laishram
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+ PDF Chat	Existence of primitive normal pairs with one prescribed trace over finite fields	2021	Hariom Sharma R. K. Sharma
+ PDF Chat	On the Existence of Pairs of Primitive and Normal Elements Over Finite Fields	2021	Cícero Carvalho João Paulo Guardieiro Víctor Neumann Guilherme Tizziotti
+	Existence of Primitive Normal Pairs with One Prescribed Trace over Finite Fields	2021	Hariom Sharma R. K. Sharma
+	On special pairs of primitive elements over a finite field	2021	Cícero Carvalho João Paulo Guardieiro Víctor Neumann Guilherme Tizziotti
+	Fields with primitive elements having primitive image under rational functions	2023	Shanta Laishram Ritumoni Sarma Jyotsna Sharma
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Works Cited by This (12)

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+ PDF Chat	A proof of the conjecture of Cohen and Mullen on sums of primitive roots	2015	Stephen D. Cohen Tomás Oliveira e Silva Tim Trudgian
+ PDF Chat	Consecutive primitive roots in a finite field	1985	Stephen D. Cohen
+	Using Stepanov's method for exponential sums involving rational functions	2005	Todd Cochrane Christopher Pinner
+	Pairs of primitive elements in fields of even order	2014	Stephen D. Cohen
+	On Some Exponential Sums	1948	André Weil
+	THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER	2003	Stephen D. Cohen Sophie Huczynska
+	Existence of some special primitive normal elements over finite fields	2017	Anju Anju R. K. Sharma
+	Pair of primitive elements with prescribed traces over finite fields	2019	R. K. Sharma Anju Gupta
+	Primitive element pairs with one prescribed trace over a finite field	2018	Anju Gupta R. K. Sharma Stephen D. Cohen
+	Primitive values of quadratic polynomials in a finite field	2018	Andrew R. Booker Stephen D. Cohen Nicole Sutherland Tim Trudgian