A short remark on the multiplicative energy of the spectrum

DOI10.1134/S0001434619030155zbMath1431.11135OpenAlexW2944096418WikidataQ127941870 ScholiaQ127941870MaRDI QIDQ2314111

Ilya D. Shkredov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030155

zbMATH Keywords

sum-product phenomenonmultiplicative energylarge exponential sum

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (1)

An energy decomposition theorem for matrices and related questions

Cites Work

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• Some remarks on the asymmetric sum-product phenomenon
• A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
• On sets of large trigonometric sums
• On sumsets of dissociated sets
• An application of the sum-product phenomenon to sets avoiding several linear equations
• Growth Estimates in Positive Characteristic via Collisions
• Some Constructions in the Inverse Spectral Theory of Cyclic Groups
• An improved point-line incidence bound over arbitrary fields
• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS

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