A. G. Khovanskii, “Newton polyhedron, Hilbert polynomial, and sums of finite sets”, Funktsional. Anal. i Prilozhen., 26:4 (1992), 57–63; Funct. Anal. Appl., 26:4 (1992), 276

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Funktsional'nyi Analiz i ego Prilozheniya, 1992, Volume 26, Issue 4, Pages 57–63 (Mi faa815)

This article is cited in 47 scientific papers (total in 47 papers)

Newton polyhedron, Hilbert polynomial, and sums of finite sets

A. G. Khovanskii

Institute of Systems Analysis, Russian Academy of Sciences

Full-text PDF (1065 kB) Citations (47)

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Received: 10.10.1991

English version:
Functional Analysis and Its Applications, 1992, Volume 26, Issue 4, Pages 276–281
DOI: https://doi.org/10.1007/BF01075048

Bibliographic databases:

Document Type: Article

UDC: 513.34+513.60

Language: Russian

Citation: A. G. Khovanskii, “Newton polyhedron, Hilbert polynomial, and sums of finite sets”, Funktsional. Anal. i Prilozhen., 26:4 (1992), 57–63; Funct. Anal. Appl., 26:4 (1992), 276–281

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa815

https://www.mathnet.ru/eng/faa/v26/i4/p57

This publication is cited in the following 47 articles:

Shalom Eliahou, Eshita Mazumdar, “Optimal Bounds on the Growth of Iterated Sumsets in Abelian Semigroups”, Annales de l'Institut Fourier, 2025, 1
Noah Kravitz, “Relative sizes of iterated sumsets”, Journal of Number Theory, 272 (2025), 113
Maud Szusterman, “Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes”, Journal of Mathematical Analysis and Applications, 529:2 (2024), 127461
Ilija Vrećica, “A note on the size of iterated sumsets in ℤd”, Int. J. Number Theory, 20:03 (2024), 691
Harold Blum, Yuchen Liu, Lu Qi, “Convexity of multiplicities of filtrations on local rings”, Compositio Math., 160:4 (2024), 878
Antongiulio Fornasiero, Elliot Kaplan, “Hilbert polynomials for finitary matroids”, Pacific J. Math., 333:2 (2024), 273
Christian Táfula, “Knights Are 24/13 Times Faster than the King”, The Fibonacci Quarterly, 62:3 (2024), 208
Liena Colarte-Gómez, Joan Elias, Rosa M. Miró-Roig, “Sumsets and Veronese varieties”, Collect. Math., 74:2 (2023), 353
David Witt Nyström, Springer Proceedings in Mathematics & Statistics, 409, Birational Geometry, Kähler–Einstein Metrics and Degenerations, 2023, 617
Andrew Granville, George Shakan, Aled Walker, “Effective Results on the Size and Structure of Sumsets”, Combinatorica, 43:6 (2023), 1139
Tristram Bogart, Kevin Woods, “A Plethora of Polynomials: A Toolbox for Counting Problems”, The American Mathematical Monthly, 129:3 (2022), 203
Shalom Eliahou, Eshita Mazumdar, “Iterated sumsets and Hilbert functions”, Journal of Algebra, 593 (2022), 274
Melvyn B. Nathanson, “Sums of Finite Sets of Integers, II”, The American Mathematical Monthly, 128:10 (2021), 888
Huayi Chen, Lecture Notes in Mathematics, 2276, Arakelov Geometry and Diophantine Applications, 2021, 77
A. Granville, G. Shakan, “The Frobenius postage stamp problem, and beyond”, Acta Math. Hungar., 161:2 (2020), 700
Melvyn B. Nathanson, “Every finite subset of an abelian group is an asymptotic approximate group”, Journal of Number Theory, 191 (2018), 175
Jaewoo Lee, Springer Proceedings in Mathematics & Statistics, 220, Combinatorial and Additive Number Theory II, 2017, 199
Iskander Aliev, Jesús A. De Loera, Quentin Louveaux, The IMA Volumes in Mathematics and its Applications, 159, Recent Trends in Combinatorics, 2016, 753
Mihai Fulger, Brian Lehmann, “Zariski decompositions of numerical cycle classes”, J. Algebraic Geom., 26:1 (2016), 43
I. D. Shkredov, “Structure theorems in additive combinatorics”, Russian Math. Surveys, 70:1 (2015), 113–163

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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Abstract page:	839
Full-text PDF :	358
References:	79
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