Shutov, Anton V.

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 Author ID: shutov.anton-v Published as: Shutov, A. V.; Shutov, Anton Vladimirovich; Shutov, Anton External Links: Math-Net.Ru
 Documents Indexed: 51 Publications since 2002 Reviewing Activity: 114 Reviews Co-Authors: 13 Co-Authors with 22 Joint Publications 55 Co-Co-Authors
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Co-Authors

 29 single-authored 10 Zhukova, Alla Adol’fovna 3 Krasil’shchikov, V. V. 2 Davletyarova, E. P. 2 Kolomeikina, E. V. 2 Kuznetsova, D. V. 2 Maleev, A. V. 2 Zhuravlev, Vladimir Georgievich 1 Balci, A. S. 1 Batle, Josep 1 Budarina, Natalia Viktorovna 1 Khripunova, Marina B. 1 Maleev, Andrey 1 Manuĭlov, N. N.
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Serials

 28 Chebyshevskiĭ Sbornik 5 Mathematical Notes 4 Russian Mathematics 4 Journal of Mathematical Sciences (New York) 3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 Acta Crystallographica. Section A 1 Computer Methods in Applied Mechanics and Engineering 1 Physics Letters. A 1 The Fibonacci Quarterly 1 St. Petersburg Mathematical Journal
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Fields

 39 Number theory (11-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

26 Publications have been cited 98 times in 30 Documents Cited by Year
One-dimensional quasiperiodic tilings admitting progressions enclosure. Zbl 1195.11084
Krasil’shchikov, V. V.; Shutov, A. V.; Zhuravlev, V. G.
2009
Number systems and bounded remainder sets. Zbl 1241.11091
Shutov, A. V.
2006
On a family of two-dimensional bounded remainder sets. Zbl 1302.11048
Shutov, A. V.
2011
The arithmetic and geometry of one-dimensional quasilattices. Zbl 1290.11103
Shutov, A. V.
2010
Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts. Zbl 1303.11078
Krasil’shchikov, V. V.; Shutov, A. V.
2011
The two-dimensional Hecke-Kesten problem. Zbl 1306.11055
Shutov, A. V.
2011
New estimates in the Hecke-Kesten problem. Zbl 1165.11062
Shutov, A. V.
2007
Inhomogeneous diophantine approximations and distribution of fractional parts. Zbl 1296.11094
Shutov, A. V.
2012
Trigonometric sums over one-dimensional quasilattices. Zbl 1311.11077
Shutov, A. V.
2012
On the distribution of fractional parts. Zbl 1144.11060
Shutov, A. V.
2004
Distribution of points of one-dimensional quasilattices with respect to a variable module. Zbl 1347.11017
Krasil’shchikov, V. V.; Shutov, A. V.
2012
Geometrization of the Fibonacci numeration system, with applications to number theory. Zbl 1369.11013
Davlet’yarova, E. P.; Zhukova, A. A.; Shutov, A. V.
2014
The Hecke-Kesten problem for some integrals. Zbl 1302.11047
Shutov, A. V.
2011
Sturm sequences: Rauzy graphs and forcing. Zbl 1236.11028
Shutov, A. V.
2007
On the first return times for toric rotations. Zbl 1425.37008
Kuznetsova, D. V.; Shutov, A. V.
2013
Trigonometric sums over one-dimensional quasilattices of arbitrary codimension. Zbl 1331.11062
Shutov, A. V.
2015
Local discrepancies in the problem of fractional parts distribution of a linear function. Zbl 1418.11113
Shutov, A. V.
2017
Quasiperiodic plane tilings based on stepped surfaces. Zbl 1370.52066
Shutov, A. V.; Maleev, A. V.
2008
Exchanged toric tilings, Rauzy substitution, and bounded remainder sets. Zbl 1387.11052
Kuznetsova, D. V.; Shutov, A. V.
2015
Multidimensional generalization of sums of fractional parts and their number-theoretic applications. Zbl 1434.11148
Shutov, A. V.
2013
On the speed of attainment of the remainder term exact boundaries in the Hecke-Kesten problem. Zbl 1430.11095
Shutov, A. V.
2013
Farey fractions and permutations generated by fractional parts $$\{i\alpha\}$$. Zbl 1434.11050
Shutov, A. V.
2014
Binary additive problem with numbers of special type. Zbl 1437.11027
Zhukova, A. A.; Shutov, A. V.
2015
Geometrization of the generalized Fibonacci numeration system with applications to number theory. Zbl 1428.11022
Davlet’yarova, E. P.; Zhukova, A. A.; Shutov, A. V.
2016
On the distribution function of the remainder term on bounded remainder sets. Zbl 1440.11128
Zhukova, A. A.; Shutov, A. V.
2016
On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025
Shutov, Anton
2020
On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025
Shutov, Anton
2020
Local discrepancies in the problem of fractional parts distribution of a linear function. Zbl 1418.11113
Shutov, A. V.
2017
Geometrization of the generalized Fibonacci numeration system with applications to number theory. Zbl 1428.11022
Davlet&rsquo;yarova, E. P.; Zhukova, A. A.; Shutov, A. V.
2016
On the distribution function of the remainder term on bounded remainder sets. Zbl 1440.11128
Zhukova, A. A.; Shutov, A. V.
2016
Trigonometric sums over one-dimensional quasilattices of arbitrary codimension. Zbl 1331.11062
Shutov, A. V.
2015
Exchanged toric tilings, Rauzy substitution, and bounded remainder sets. Zbl 1387.11052
Kuznetsova, D. V.; Shutov, A. V.
2015
Binary additive problem with numbers of special type. Zbl 1437.11027
Zhukova, A. A.; Shutov, A. V.
2015
Geometrization of the Fibonacci numeration system, with applications to number theory. Zbl 1369.11013
Davlet&rsquo;yarova, E. P.; Zhukova, A. A.; Shutov, A. V.
2014
Farey fractions and permutations generated by fractional parts $$\{i\alpha\}$$. Zbl 1434.11050
Shutov, A. V.
2014
On the first return times for toric rotations. Zbl 1425.37008
Kuznetsova, D. V.; Shutov, A. V.
2013
Multidimensional generalization of sums of fractional parts and their number-theoretic applications. Zbl 1434.11148
Shutov, A. V.
2013
On the speed of attainment of the remainder term exact boundaries in the Hecke-Kesten problem. Zbl 1430.11095
Shutov, A. V.
2013
Inhomogeneous diophantine approximations and distribution of fractional parts. Zbl 1296.11094
Shutov, A. V.
2012
Trigonometric sums over one-dimensional quasilattices. Zbl 1311.11077
Shutov, A. V.
2012
Distribution of points of one-dimensional quasilattices with respect to a variable module. Zbl 1347.11017
Krasil&rsquo;shchikov, V. V.; Shutov, A. V.
2012
On a family of two-dimensional bounded remainder sets. Zbl 1302.11048
Shutov, A. V.
2011
Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts. Zbl 1303.11078
Krasil&rsquo;shchikov, V. V.; Shutov, A. V.
2011
The two-dimensional Hecke-Kesten problem. Zbl 1306.11055
Shutov, A. V.
2011
The Hecke-Kesten problem for some integrals. Zbl 1302.11047
Shutov, A. V.
2011
The arithmetic and geometry of one-dimensional quasilattices. Zbl 1290.11103
Shutov, A. V.
2010
One-dimensional quasiperiodic tilings admitting progressions enclosure. Zbl 1195.11084
Krasil&rsquo;shchikov, V. V.; Shutov, A. V.; Zhuravlev, V. G.
2009
Quasiperiodic plane tilings based on stepped surfaces. Zbl 1370.52066
Shutov, A. V.; Maleev, A. V.
2008
New estimates in the Hecke-Kesten problem. Zbl 1165.11062
Shutov, A. V.
2007
Sturm sequences: Rauzy graphs and forcing. Zbl 1236.11028
Shutov, A. V.
2007
Number systems and bounded remainder sets. Zbl 1241.11091
Shutov, A. V.
2006
On the distribution of fractional parts. Zbl 1144.11060
Shutov, A. V.
2004
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Cited by 16 Authors

 18 Shutov, Anton V. 6 Zhukova, Alla Adol’fovna 6 Zhuravlev, Vladimir Georgievich 2 Davletyarova, E. P. 2 Krasil’shchikov, V. V. 1 Abrosimova, A. A. 1 Bockting-Conrad, Sarah 1 Grepstad, Sigrid 1 Jamet, Damien 1 Kashina, Yevgenia 1 Kuznetsova, D. V. 1 Lev, Nir 1 Petersen, T. Kyle 1 Popoli, Pierre 1 Stoll, Thomas 1 Tenner, Bridget Eileen
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Cited in 8 Serials

 10 Chebyshevskiĭ Sbornik 5 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 4 St. Petersburg Mathematical Journal 3 Russian Mathematics 1 American Mathematical Monthly 1 Geometric and Functional Analysis. GAFA 1 Cryptography and Communications
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Cited in 6 Fields

 28 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX)