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

DOI10.1016/j.jnt.2006.12.001zbMath1185.11025OpenAlexW1972484768WikidataQ122927566 ScholiaQ122927566MaRDI QIDQ996199

Todd Cochrane, James Arthur Cipra, Christopher G. Pinner

Publication date: 13 September 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.12.001

zbMATH Keywords

prime fieldWarings's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Representation problems (11D85)

Related Items (11)

The Waring's problem over finite fields through generalized Paley graphs ⋮ Waring numbers for diagonal congruences ⋮ Waring numbers over finite commutative local rings ⋮ On the Odlyzko-Stanley enumeration problem and Waring's problem over finite fields ⋮ Codes correcting restricted errors ⋮ Waring's number mod \(m\) ⋮ Improved bounds on Gauss sums in arbitrary finite fields ⋮ On the solvability of systems of bilinear equations in finite fields ⋮ On the Waring problem with Dickson polynomials in finite fields ⋮ A reduction formula for Waring numbers through generalized Paley graphs ⋮ Polynomial values in affine subspaces of finite fields

Cites Work

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• Fermat curves over finite fields
• Bounds for multiplicative cosets over fields of prime order
• A new upper bound for Waring's problem (mod p)
• BOUNDS ON EXPONENTIAL SUMS AND THE POLYNOMIAL WARING PROBLEM MOD p
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• A note on Waring's problem in GF (p)
• On Waring's Problem in GF[p]
• Numbers of solutions of equations in finite fields

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