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Sums of Two Exact Powers |
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| Authors: | Stephen D Cohen Zhang Wenpeng |
| Institution: | a Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Scotland, UKf1;b Department of Mathematics, Northwest University, Xi'an Shaanxi, People's Republic of Chinaf2 |
| Abstract: | An asymptotic formula is obtained for the number of representations of an element of a finite field as a weighted sum of two prescribed powers of primitive elements. This generalises previous work on sums of primitive elements, including that relating to some conjectures of Golomb. |
| Keywords: | primitive element primitive root power Golomb's conjecture asymptotic formula characteristic function arithmetic function cyclic group Jacobi sum |
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