Some remarks on the asymmetric sum-product phenomenon
From MaRDI portal
Publication:2420482
DOI10.2140/moscow.2019.8.15zbMath1454.11029arXiv1705.09703OpenAlexW2619052430WikidataQ129402129 ScholiaQ129402129MaRDI QIDQ2420482
Publication date: 6 June 2019
Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09703
Exponential sums (11T23) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (12)
Diophantine properties of iets and general systems: quantitative proximality and connectivity ⋮ On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications ⋮ Convexity, superquadratic growth, and dot products ⋮ Weil Sums over Small Subgroups ⋮ On the multiplicative Chung-Diaconis-Graham process ⋮ Popular products and continued fractions ⋮ On popular sums and differences for sets with small multiplicative doubling ⋮ On the size of the set AA+A ⋮ On some applications of GCD sums to arithmetic combinatorics ⋮ On sums of products in \(\mathbb{F}_p \times \mathbb{F}_p\) ⋮ New expander bounds from affine group energy ⋮ A short remark on the multiplicative energy of the spectrum
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New sum-product type estimates over finite fields
- Some new inequalities in additive combinatorics
- Extremal problems in discrete geometry
- Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
- Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\)
- On the number of incidences between points and planes in three dimensions
- A sum-product estimate in finite fields, and applications
- Higher moments of convolutions
- \(h\)-fold sums from a set with few products
- Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
- Exponential sum estimates in finite commutative rings and applications
- On the Erdős-Volkmann and Katz-Tao ring conjectures
- Estimates on exponential sums related to the Diffie-Hellman distributions
- On tripling constant of multiplicative subgroups
- On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
- Growth Estimates in Positive Characteristic via Collisions
- MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
- ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
This page was built for publication: Some remarks on the asymmetric sum-product phenomenon
