Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields
From MaRDI portal
Publication:5377104
zbMath1448.11213arXiv1701.06192MaRDI QIDQ5377104
Simon Macourt, Ilya D. Shkredov, Igor E. Shparlinski
Publication date: 23 May 2019
Full work available at URL: https://arxiv.org/abs/1701.06192
Estimates on exponential sums (11L07) Polynomials over finite fields (11T06) Exponential sums (11T23)
Related Items (10)
Bounds on exponential sums with quadrinomials ⋮ A sharp exponent on sum of distance sets over finite fields ⋮ Incidence Results and Bounds Of Trilinear and Quadrilinear Exponential Sums ⋮ NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS ⋮ Bounds of Trilinear and Trinomial Exponential Sums ⋮ Multilinear exponential sums with a general class of weights ⋮ Exponential sum estimates over prime fields ⋮ EXPONENTIAL SUMS AND ADDITIVE COMBINATORICS ⋮ Exponential Sums with Sparse Polynomials over Finite Fields ⋮ Binomial exponential sums
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Combinational properties of sets of residues modulo a prime and the Erdős-Graham problem
- Estimates on polynomial exponential sums
- Multilinear exponential sums in prime fields under optimal entropy condition on the sources
- On exponential sums with sparse polynomials and rational functions
- A sum-product estimate in finite fields, and applications
- Bounds of trilinear and quadrilinear exponential sums
- Exponential sum estimates over a subgroup in an arbitrary finite field
- The distribution of integers with a divisor in a given interval
- A system of simultaneous congruences arising from trinomial exponential sums
- Another sum-product estimate in finite fields
- On the sum of a prime and of two powers of two
- Estimates for complete exponential sums of special types
- On additive shifts of multiplicative subgroups
- On tripling constant of multiplicative subgroups
- Sums and products of sets and estimates of rational trigonometric sums in fields of prime order
- Bounds on fewnomial exponential sums over ℤp
- New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
- An application of the sum-product phenomenon to sets avoiding several linear equations
- Incidence Results and Bounds Of Trilinear and Quadrilinear Exponential Sums
- Differences of subgroups in subgroups
- A further refinement of Mordell's bound on exponential sums
- An improved Mordell type bound for exponential sums
- An improved point-line incidence bound over arbitrary fields
- NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
- ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
This page was built for publication: Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields
