Bounds on exponential sums with quadrinomials

DOI10.1016/j.jnt.2018.05.001zbMath1450.11087arXiv1703.07066OpenAlexW2963566185WikidataQ115570082 ScholiaQ115570082MaRDI QIDQ1668845

Simon Macourt

Publication date: 29 August 2018

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

Full work available at URL: https://arxiv.org/abs/1703.07066

zbMATH Keywords

exponential sumquadrinomialsparse polynomial

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23)

Related Items (5)

Bounds of Trilinear and Trinomial Exponential Sums ⋮ Multilinear exponential sums with a general class of weights ⋮ EXPONENTIAL SUMS AND ADDITIVE COMBINATORICS ⋮ Exponential Sums with Sparse Polynomials over Finite Fields ⋮ Binomial exponential sums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates of trigonometric sums over subgroups and some of their applications
• On exponential sums over multiplicative subgroups of medium size
• Using Stepanov's method for exponential sums involving rational functions
• Multilinear exponential sums in prime fields under optimal entropy condition on the sources
• A system of simultaneous congruences arising from trinomial exponential sums
• EXPLICIT BOUNDS ON MONOMIAL AND BINOMIAL EXPONENTIAL SUMS
• Sums and products of sets and estimates of rational trigonometric sums in fields of prime order
• Bounds on fewnomial exponential sums over ℤ_p
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• A further refinement of Mordell's bound on exponential sums
• An improved Mordell type bound for exponential sums
• Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

This page was built for publication: Bounds on exponential sums with quadrinomials