On asymptotic formulae in some sum–product questions
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Publication:4633674
DOI10.1090/mosc/283zbMath1473.11034arXiv1802.09066OpenAlexW2964111809WikidataQ128873358 ScholiaQ128873358MaRDI QIDQ4633674
Publication date: 3 May 2019
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.09066
Other combinatorial number theory (11B75) Arithmetic combinatorics; higher degree uniformity (11B30) Finite fields and commutative rings (number-theoretic aspects) (11Txx)
Related Items (25)
On multiplicative energy of subsets of varieties ⋮ Szemer\'{e}di-Trotter type results in arbitrary finite fields ⋮ Higher convexity and iterated second moment estimates ⋮ Non-commutative methods in additive combinatorics and number theory ⋮ Bilinear sums of Gauss sums ⋮ On sums and products of combinatorial cubes ⋮ Character sums estimates and an application to a problem of Balog ⋮ On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications ⋮ Double character sums with intervals and arbitrary sets ⋮ Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate ⋮ A sum-bracket theorem for simple Lie algebras ⋮ On the multiplicative Chung-Diaconis-Graham process ⋮ Popular products and continued fractions ⋮ Modular hyperbolas and bilinear forms of Kloosterman sums ⋮ Bounds of Trilinear and Trinomial Exponential Sums ⋮ Additive properties of slowly increasing convex sets ⋮ Distribution of distances in positive characteristic ⋮ Multilinear exponential sums with a general class of weights ⋮ Some remarks on products of sets in the Heisenberg group and in the affine group ⋮ Stronger sum-product inequalities for small sets ⋮ Improved bounds on Gauss sums in arbitrary finite fields ⋮ On incidence bounds with Möbius hyperbolae in positive characteristic ⋮ A NEW SUM–PRODUCT ESTIMATE IN PRIME FIELDS ⋮ Exponential Sums with Sparse Polynomials over Finite Fields ⋮ New estimates for exponential sums over multiplicative subgroups and intervals in prime fields
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