A. G. Khovanskii, “Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions”, Funktsional. Anal. i Prilozhen., 29:2 (1995), 36–50; Funct. Anal. Appl., 29:2 (1995), 102

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Funktsional'nyi Analiz i ego Prilozheniya, 1995, Volume 29, Issue 2, Pages 36–50 (Mi faa577)

This article is cited in 16 scientific papers (total in 16 papers)

Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions

A. G. Khovanskii

Scientific Research Institute for System Studies of RAS

Full-text PDF (1710 kB) Citations (16)

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Received: 15.07.1994

English version:
Functional Analysis and Its Applications, 1995, Volume 29, Issue 2, Pages 102–112
DOI: https://doi.org/10.1007/BF01080008

Bibliographic databases:

Document Type: Article

UDC: 512.7+514.17

Language: Russian

Citation: A. G. Khovanskii, “Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions”, Funktsional. Anal. i Prilozhen., 29:2 (1995), 36–50; Funct. Anal. Appl., 29:2 (1995), 102–112

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa577

https://www.mathnet.ru/eng/faa/v29/i2/p36

This publication is cited in the following 16 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
Shalom Eliahou, Eshita Mazumdar, “Iterated sumsets and Hilbert functions”, Journal of Algebra, 593 (2022), 274
J. Elias, “Sumsets and Projective Curves”, Mediterr. J. Math., 19:4 (2022)
Melvyn B. Nathanson, “Sums of Finite Sets of Integers, II”, The American Mathematical Monthly, 128:10 (2021), 888
Alex Küronya, Catriona Maclean, Joaquim Roé, “Newton–Okounkov theory in an abstract setting”, Beitr Algebra Geom, 62:2 (2021), 375
François Pachet, Pierre Roy, Benoit Carré, Handbook of Artificial Intelligence for Music, 2021, 485
Christopher O'Neill, “On factorization invariants and Hilbert functions”, Journal of Pure and Applied Algebra, 221:12 (2017), 3069
Melvyn B. Nathanson, Springer Proceedings in Mathematics & Statistics, 101, Combinatorial and Additive Number Theory, 2014, 175
Kaveh K. Khovanskii A.G., “Newton-Okounkov Bodies, Semigroups of Integral Points, Graded Algebras and Intersection Theory”, Ann. Math., 176:2 (2012), 925–978
Melvyn B. Nathanson, Additive Number Theory, 2010, 1
Combinatorial Number Theory and Additive Group Theory, 2009, 199
Vít Jelínek, Martin Klazar, “Generalizations of Khovanskiǐ's theorems on the growth of sumsets in Abelian semigroups”, Advances in Applied Mathematics, 41:1 (2008), 115
A. G. Khovanskii, S. P. Chulkov, “The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients”, Izv. Math., 70:1 (2006), 153–169
J.Bruce Fields, “Lengths of Tors Determined by Killing Powers of Ideals in a Local Ring”, Journal of Algebra, 247:1 (2002), 104
Shu-Ping Han, Christoph Kirfel, Melvyn B. Nathanson, Developments in Mathematics, 1, Analytic and Elementary Number Theory, 1998, 271

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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