Book review of: L. Guth, Polynomial methods in combinatorics
DOI10.1365/s13291-017-0170-9zbMath1392.00014OpenAlexW2746782960MaRDI QIDQ1647769
Publication date: 26 June 2018
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1365/s13291-017-0170-9
Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Factorials, binomial coefficients, combinatorial functions (05A10) Linear codes (general theory) (94B05) Algebraic combinatorics (05E99) Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Discrete geometry (52C99) Transcendental field extensions (12F20) Approximation to algebraic numbers (11J68) External book reviews (00A17)
Cites Work
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- On sets defining few ordinary lines
- Szemerédi-Trotter-type theorems in dimension 3
- Extremal problems in discrete geometry
- An improved lower bound on the size of Kakeya sets over finite fields
- Counting and cutting cycles of lines and rods in space
- The blocking number of an affine space
- On joints in arrangements of lines in space and related problems
- An improved bound for Kakeya type maximal functions
- Algebraic methods in discrete analogs of the Kakeya problem
- On the size of Kakeya sets in finite fields
- Combinatorial Nullstellensatz
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