Waring's Number in a Finite Field

New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum

D. R. Heath‐Brown · The Quarterly Journal of Mathematics · 2000 · 166 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +7

Adding Distinct Congruence Classes Modulo a Prime

Noga Alon, Melvyn B. Nathanson, Imre Z. Ruzsa · American Mathematical Monthly · 1995 · 89 citations

Natural Sciences, Mathematics, Discrete Mathematics +9

On Waring's problem in finite fields

Arne Winterhof · Acta Arithmetica · 1998 · 38 citations · Full text

Natural Sciences, Mathematics, Algebra +10

Sums of n-th powers in fields of prime characteristic

Leonard Tornheim · Duke Mathematical Journal · 1938 · 26 citations

Natural Sciences, Mathematics, Number Theory +7

Heilbronn's conjecture on Waring's number (mod p)

James Arthur Cipra, Todd Cochrane, Christopher Pinner · Journal of Number Theory · 2007 · 24 citations

Natural Sciences, Mathematics, Number Theory +4