# Explicit formulas for strong Davenport pairs

@inproceedings{Bluher2004ExplicitFF, title={Explicit formulas for strong Davenport pairs}, author={Antonia W. Bluher}, year={2004} }

- Published 2004
DOI:10.4064/aa112-4-5

A pair of separable polynomials (g, h) over a finite field F is said to be a strong Davenport pair if g(K) = h(K) for all finite extension fields K/F , where g(K) = { g(a) | a ∈ K }. We construct examples for which g is a projective or additive polynomial, and we find a factorization of g(x)−h(y). In addition, we prove that |g−1(a)∩K| = |h−1(a) ∩ K| for all a ∈ K. Though the existence of such examples was known to Fried, the explicit formulas for g and h are new, as are our methods of proof… CONTINUE READING

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