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Russian Mathematical Surveys, 1980, Volume 35, Issue 4, Pages 1–80
DOI: https://doi.org/10.1070/RM1980v035n04ABEH001861
(Mi rm3565)
 

This article is cited in 33 scientific papers (total in 34 papers)

Achievements and problems in Diophantine approximation theory

V. G. Sprindzhuk
References:
Received: 25.05.1979
Bibliographic databases:
Document Type: Article
UDC: 511
Language: English
Original paper language: Russian
Citation: V. G. Sprindzhuk, “Achievements and problems in Diophantine approximation theory”, Russian Math. Surveys, 35:4 (1980), 1–80
Citation in format AMSBIB
\Bibitem{Spr80}
\by V.~G.~Sprindzhuk
\paper Achievements and problems in Diophantine approximation theory
\jour Russian Math. Surveys
\yr 1980
\vol 35
\issue 4
\pages 1--80
\mathnet{http://mi.mathnet.ru/eng/rm3565}
\crossref{https://doi.org/10.1070/RM1980v035n04ABEH001861}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=586190}
\zmath{https://zbmath.org/?q=an:0438.10024|0463.10020}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1980RuMaS..35....1S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980MR52200001}
Linking options:
  • https://www.mathnet.ru/eng/rm3565
  • https://doi.org/10.1070/RM1980v035n04ABEH001861
  • https://www.mathnet.ru/eng/rm/v35/i4/p3
  • This publication is cited in the following 34 articles:
    1. SOURAV DAS, ARIJIT GANGULY, “DIOPHANTINE TRANSFERENCE PRINCIPLE OVER FUNCTION FIELDS”, Bull. Aust. Math. Soc., 2024, 1  crossref
    2. V. BERESNEVICH, J. LEVESLEY, B. WARD, “Simultaneous p-adic Diophantine approximation”, Math. Proc. Camb. Phil. Soc., 175:1 (2023), 13  crossref
    3. V. I. Bernik, D. V. Vasilyev, N. I. Kalosha, Zh. I. Panteleeva, “Metric theory of diophantine approximation and asymptotic estimates for the number of polynomials with given discriminants divisible by a large power of a prime number”, Dokl. Akad. nauk, 67:4 (2023), 271  crossref
    4. Shreyasi Datta, Anish Ghosh, “S-arithmetic inhomogeneous Diophantine approximation on manifolds”, Advances in Mathematics, 400 (2022), 108239  crossref
    5. V. V. Beresnevich, V. I. Bernik, F. Götze, E. V. Zasimovich, N. I. Kalosha, “Contribution of Jonas Kubilius to the metric theory of diophantine approximation of dependent variables”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 3 (2021), 34–50  mathnet  crossref
    6. Yu. A. Basalov, “O russkoi nauchnoi shkole diofantovykh priblizhenii”, Chebyshevskii sb., 21:1 (2020), 388–403  mathnet  crossref
    7. Victor Beresnevich, Arijit Ganguly, Anish Ghosh, Sanju Velani, “Inhomogeneous Dual Diophantine Approximation on Affine Subspaces”, International Mathematics Research Notices, 2020:12 (2020), 3582  crossref
    8. Arijit Ganguly, Anish Ghosh, “Quantitative Diophantine approximation on affine subspaces”, Math. Z., 292:3-4 (2019), 923  crossref
    9. A. N. Agadzhanov, “Everywhere Differentiable Functions without Monotonicity Intervals and Transcendental Numbers”, Dokl. Math., 97:3 (2018), 219  crossref
    10. Paloma Bengoechea, Nikolay Moshchevitin, Natalia Stepanova, “A NOTE ON BADLY APPROXIMABLE LINEAR FORMS ON MANIFOLDS”, Mathematika, 63:2 (2017), 587  crossref
    11. Victor Beresnevich, “Badly approximable points on manifolds”, Invent. math, 2015  crossref
    12. Dzmitry Badziahin, Victor Beresnevich, Sanju Velani, “Inhomogeneous theory of dual Diophantine approximation on manifolds”, Advances in Mathematics, 232:1 (2013), 1  crossref
    13. Yuqing Zhang, “Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifold”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2011, -  crossref
    14. A. Mohammadi, A. Salehi Golsefidy, “Simultaneous diophantine approximation in non-degenerate p-adic manifolds”, Isr. J. Math, 2011  crossref
    15. ANISH GHOSH, “A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES”, Int. J. Number Theory, 07:04 (2011), 1045  crossref
    16. Dmitry Kleinbock, “An ‘almost all versus no’ dichotomy in homogeneous dynamics and Diophantine approximation”, Geom Dedicata, 2010  crossref
    17. Anish Ghosh, “Diophantine exponents and the Khintchine Groshev theorem”, Mh Math, 2010  crossref
    18. V. V. Beresnevich, S. L. Velani, “Simultaneous inhomogeneous Diophantine approximation on manifolds”, J. Math. Sci., 180:5 (2012), 531–541  mathnet  crossref  mathscinet  elib
    19. Victor Beresnevich, Evgeniy Zorin, “Explicit bounds for rational points near planar curves and metric Diophantine approximation”, Advances in Mathematics, 225:6 (2010), 3064  crossref
    20. DMITRY KLEINBOCK, GREGORY MARGULIS, JUNBO WANG, “METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS”, Int. J. Number Theory, 06:05 (2010), 1139  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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