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Ryshkov, Sergeĭ Sergeevich

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Author ID: ryshkov.sergej-s Recent zbMATH articles by "Ryshkov, Sergeĭ Sergeevich"
Published as: Ryshkov, S. S.; Ryshkov, Sergej S.; Ryshkov, Sergei S.
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 103 Publications since 1957
Biographic References: 4 Publications
Co-Authors: 25 Co-Authors with 66 Joint Publications
395 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 179 times in 118 Documents Cited by Year
\(C\)-types of \(n\)-dimensional lattices and 5-dimensional primitive parallelohedra (with application to the theory of coverings). Zbl 0419.10031
Ryshkov, S. S.; Baranovskii, E. P.
19
1976
On lattice dicing. Zbl 0809.52019
Erdahl, R. M.; Ryshkov, S. S.
19
1994
The theory of quality translations with applications to tilings. Zbl 0881.52015
Ryshkov, S. S.; Rybnikov, K. A. jun.
9
1997
A contribution to the theory of the extrema of a multidimensional \(\zeta\)-function. Zbl 0155.09301
Delone, B. N.; Ryshkov, S. S.
9
1967
The empty sphere. Zbl 0643.10025
Erdahl, R. M.; Ryshkov, S. S.
9
1987
The polyhedron \(\mu\)(m) and some extremal problems in the geometry of numbers. Zbl 0229.10013
Ryshkov, S. S.
8
1970
The theory of Hermite-Minkowski reduction of positive definite quadratic forms. Zbl 0374.10019
Ryshkov, S. S.
7
1976
An extension of Voronoï’s theorem on primitive parallelotopes. Zbl 0829.52013
Michel, L.; Ryshkov, S. S.; Senechal, M.
7
1995
Zur Frage der finalen \(\zeta\)-Optimalität von Gittern, die die allerdichteste Gitterpackung \(n\)-dimensionaler Kugeln ergeben. Zbl 0272.10016
Ryshkov, S. S.
7
1973
The partitioning complexes in \(n\)-dimensional lattices (with full description for \(n\leq 6\)). Zbl 0955.51013
Ryshkov, Sergei S.; Baranovskii, Evgenii P.
6
1998
The empty sphere. II. Zbl 0653.10027
Ryshkov, S. S.; Erdahl, R. M.
6
1988
On maximal finite groups of integer (\(n \times n\))-matrices. Zbl 0275.20092
Ryshkov, S. S.
4
1972
On the theory of mainstay parallelohedra. Zbl 1104.51012
Ryshkov, S. S.; Bol’shakova, E. A.
4
2005
Klassische Methoden der Theorie der Gitterpackungen. Zbl 0424.52009
Ryshkov, S. S.; Baranovskij, E. P.
3
1979
Ein neuer Aufbau der Theorie der gitterförmigen Überdeckungen des n- dimensionalen Raumes vermittels gleicher Kugeln. Zbl 0204.55301
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
3
1970
Generatrissa: the problems of Maxwell and Voronoi. Zbl 0906.51007
Ryshkov, S. S.; Rybnikov, K. A. jun.
3
1996
Extremal problems in the theory of positive quadratic forms. Zbl 0261.10020
Delone, B. N.; Ryshkov, S. S.
3
1973
Maximale endliche Gruppen ganzzahliger \(n \times n\)-Matrizen und vollständige Gruppen ganzzahliger Automorphismen positiver quadratischer Formen (Bravaisschen Typs). Zbl 0276.20038
Ryshkov, S. S.
3
1972
Effectuation of a method of Davenport in the theory of coverings. Zbl 0157.52604
Ryshkov, S. S.
3
1967
On the theory of reduction of positive quadratic forms. Zbl 0352.10011
Ryshkov, S. S.
2
1973
The perfect form \(A^k_n\): the existence of lattices with a nonfundamental division simplex, and the existence of perfect forms which are not Minkowski-reducible to forms having identical diagonal coefficients. Zbl 0374.10020
Ryshkov, S. S.
2
1976
Positive forms of degree 2l>2 and zeta-separating quadratic forms. Zbl 0526.10017
Ryshkov, S. S.; Shushbaev, S. Sh.
2
1983
The geometry of the integer roots of some quadratic equations in several unknowns. Zbl 0535.10032
Ryshkov, S. S.; Erdahl, R. M.
2
1982
A two-dimensional \(\zeta\)-function with a real parameter. Zbl 0201.05103
Ryshkov, S. S.
2
1969
On the reduction theory of positive quadratic forms. Zbl 0237.10020
Ryshkov, S. S.
2
1971
On the question of final \(\zeta\)-optimality of lattices providing the closest lattice packing of \(n\)-dimensional spheres. Zbl 0282.10020
Ryshkov, S. S.
2
1974
Maximal finite groups of integral \(n \times n\) matrices and full groups of integral automorphisms of positive quadratic forms (Bravais models). Zbl 0287.20047
Ryshkov, S. S.
2
1974
On k-regular imbeddings. Zbl 0141.40101
Ryshkov, S. S.
2
1959
Perfect lattices as admissible centerings. Zbl 0624.10024
Ryshkov, S. S.; Baranovskij, E. P.
2
1987
Facet-to-facet implies face-to-face. Zbl 0664.52011
Gruber, Peter M.; Ryshkov, Sergej S.
2
1989
A direct geometric description of the \(n\)-dimensional Voronoi parallelohedra of second type. Zbl 0941.51015
Ryshkov, S. S.
2
1999
On the theory of the cone of positivity and the theory of the perfect polyhedra \(\Pi(n)\) and \(\mu_n(m)\). Zbl 1108.11049
Ryshkov, S. S.
2
2002
Storied construction of L-bodies of lattices. Zbl 0681.52005
Ryshkov, S. S.; Erdahl, R. M.
1
1989
Recipes for lattice dicing. Zbl 0853.52014
Erdahl, Robert M.; Ryshkov, Sergej S.
1
1995
Lattice dicing. Zbl 0817.52019
Erdahl, R. M.; Ryshkov, S. S.
1
1993
Dual systems of integer vectors and their applications. Zbl 0833.11027
Ryshkov, S. S.; Erdahl, R. M.
1
1990
Dual systems of integer vectors and their applications to the theory of \((0,1)\)-matrices. Zbl 0833.11028
Ryshkov, S. S.; Erdahl, R. M.
1
1991
Dual systems of integral vectors. (General questions, applications to the geometry of positive quadratic forms). Zbl 0751.52007
Ryshkov, S. S.; Erdahl, R. M.
1
1991
The structure of primitive parallelohedra and Voronoi’s last problem. Zbl 0927.51028
Ryshkov, S. S.
1
1998
Layerwise construction of L-bodies of lattices. Zbl 0692.52008
Ryshkov, S. S.; Erdahl, R. M.
1
1989
On the disjointness of point systems. Zbl 0748.52010
Ryshkov, S. S.; Chepanov, S. A.; Yakovlev, N. N.
1
1991
On complete groups of integral automorphisms of positive quadratic forms. Zbl 0266.10025
Ryshkov, S. S.
1
1972
On Hermite, Minkowski and Venkov reduction of positive quadratic forms in n variables. Zbl 0268.10017
Ryshkov, S. S.
1
1972
C-type of \(n\)-dimensional parallelehedra. Zbl 0291.10024
Ryshkov, S. S.
1
1973
Primitive five-dimensional parallelehedra. Zbl 0291.10025
Baranovskij, E. P.; Ryshkov, S. S.
1
1973
Density of an \((r,R)\)-system. Zbl 0312.10017
Ryshkov, S. S.
1
1975
Solution of the problem of least dense lattice covering of five- dimensional space by equal spheres. Zbl 0326.10026
Ryshkov, S. S.; Baranovskij, E. P.
1
1975
A geometric estimation for the number of representations of a real number by a positive quadratic form and the estimation of the remainder term of the multidimensional zeta-function. Zbl 0481.10020
Baranovskiĭ, E. P.; Ryshkov, S. S.; Shushbaev, S. Sh.
1
1981
Optimal cubature lattice for functions of two variables that are smooth on all sides. Zbl 0136.43201
Delone, B. N.; Sandakova, N. N.; Ryshkov, S. S.
1
1965
The structure of an \(n\)-dimensional parallelohedron of the first kind. Zbl 0152.20603
Ryshkov, S. S.
1
1962
A theorem due to Sandakova concerning positive quadratic forms. Zbl 0159.06602
Delone, B. N.; Ryshkov, S. S.; Shtogrin, M. I.
1
1967
Über k-reguläre Einbettungen und ihre Anwendung in der Theorie der Annäherung von Funktionen. Zbl 0122.30703
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
1
1960
A new construction in the theory of lattice coverings of an \(n\)-dimensional space by equal spheres. Zbl 0217.18601
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
1
1971
On the theory of mainstay parallelohedra. Zbl 1104.51012
Ryshkov, S. S.; Bol’shakova, E. A.
4
2005
On the theory of the cone of positivity and the theory of the perfect polyhedra \(\Pi(n)\) and \(\mu_n(m)\). Zbl 1108.11049
Ryshkov, S. S.
2
2002
A direct geometric description of the \(n\)-dimensional Voronoi parallelohedra of second type. Zbl 0941.51015
Ryshkov, S. S.
2
1999
The partitioning complexes in \(n\)-dimensional lattices (with full description for \(n\leq 6\)). Zbl 0955.51013
Ryshkov, Sergei S.; Baranovskii, Evgenii P.
6
1998
The structure of primitive parallelohedra and Voronoi’s last problem. Zbl 0927.51028
Ryshkov, S. S.
1
1998
The theory of quality translations with applications to tilings. Zbl 0881.52015
Ryshkov, S. S.; Rybnikov, K. A. jun.
9
1997
Generatrissa: the problems of Maxwell and Voronoi. Zbl 0906.51007
Ryshkov, S. S.; Rybnikov, K. A. jun.
3
1996
An extension of Voronoï’s theorem on primitive parallelotopes. Zbl 0829.52013
Michel, L.; Ryshkov, S. S.; Senechal, M.
7
1995
Recipes for lattice dicing. Zbl 0853.52014
Erdahl, Robert M.; Ryshkov, Sergej S.
1
1995
On lattice dicing. Zbl 0809.52019
Erdahl, R. M.; Ryshkov, S. S.
19
1994
Lattice dicing. Zbl 0817.52019
Erdahl, R. M.; Ryshkov, S. S.
1
1993
Dual systems of integer vectors and their applications to the theory of \((0,1)\)-matrices. Zbl 0833.11028
Ryshkov, S. S.; Erdahl, R. M.
1
1991
Dual systems of integral vectors. (General questions, applications to the geometry of positive quadratic forms). Zbl 0751.52007
Ryshkov, S. S.; Erdahl, R. M.
1
1991
On the disjointness of point systems. Zbl 0748.52010
Ryshkov, S. S.; Chepanov, S. A.; Yakovlev, N. N.
1
1991
Dual systems of integer vectors and their applications. Zbl 0833.11027
Ryshkov, S. S.; Erdahl, R. M.
1
1990
Facet-to-facet implies face-to-face. Zbl 0664.52011
Gruber, Peter M.; Ryshkov, Sergej S.
2
1989
Storied construction of L-bodies of lattices. Zbl 0681.52005
Ryshkov, S. S.; Erdahl, R. M.
1
1989
Layerwise construction of L-bodies of lattices. Zbl 0692.52008
Ryshkov, S. S.; Erdahl, R. M.
1
1989
The empty sphere. II. Zbl 0653.10027
Ryshkov, S. S.; Erdahl, R. M.
6
1988
The empty sphere. Zbl 0643.10025
Erdahl, R. M.; Ryshkov, S. S.
9
1987
Perfect lattices as admissible centerings. Zbl 0624.10024
Ryshkov, S. S.; Baranovskij, E. P.
2
1987
Positive forms of degree 2l>2 and zeta-separating quadratic forms. Zbl 0526.10017
Ryshkov, S. S.; Shushbaev, S. Sh.
2
1983
The geometry of the integer roots of some quadratic equations in several unknowns. Zbl 0535.10032
Ryshkov, S. S.; Erdahl, R. M.
2
1982
A geometric estimation for the number of representations of a real number by a positive quadratic form and the estimation of the remainder term of the multidimensional zeta-function. Zbl 0481.10020
Baranovskiĭ, E. P.; Ryshkov, S. S.; Shushbaev, S. Sh.
1
1981
Klassische Methoden der Theorie der Gitterpackungen. Zbl 0424.52009
Ryshkov, S. S.; Baranovskij, E. P.
3
1979
\(C\)-types of \(n\)-dimensional lattices and 5-dimensional primitive parallelohedra (with application to the theory of coverings). Zbl 0419.10031
Ryshkov, S. S.; Baranovskii, E. P.
19
1976
The theory of Hermite-Minkowski reduction of positive definite quadratic forms. Zbl 0374.10019
Ryshkov, S. S.
7
1976
The perfect form \(A^k_n\): the existence of lattices with a nonfundamental division simplex, and the existence of perfect forms which are not Minkowski-reducible to forms having identical diagonal coefficients. Zbl 0374.10020
Ryshkov, S. S.
2
1976
Density of an \((r,R)\)-system. Zbl 0312.10017
Ryshkov, S. S.
1
1975
Solution of the problem of least dense lattice covering of five- dimensional space by equal spheres. Zbl 0326.10026
Ryshkov, S. S.; Baranovskij, E. P.
1
1975
On the question of final \(\zeta\)-optimality of lattices providing the closest lattice packing of \(n\)-dimensional spheres. Zbl 0282.10020
Ryshkov, S. S.
2
1974
Maximal finite groups of integral \(n \times n\) matrices and full groups of integral automorphisms of positive quadratic forms (Bravais models). Zbl 0287.20047
Ryshkov, S. S.
2
1974
Zur Frage der finalen \(\zeta\)-Optimalität von Gittern, die die allerdichteste Gitterpackung \(n\)-dimensionaler Kugeln ergeben. Zbl 0272.10016
Ryshkov, S. S.
7
1973
Extremal problems in the theory of positive quadratic forms. Zbl 0261.10020
Delone, B. N.; Ryshkov, S. S.
3
1973
On the theory of reduction of positive quadratic forms. Zbl 0352.10011
Ryshkov, S. S.
2
1973
C-type of \(n\)-dimensional parallelehedra. Zbl 0291.10024
Ryshkov, S. S.
1
1973
Primitive five-dimensional parallelehedra. Zbl 0291.10025
Baranovskij, E. P.; Ryshkov, S. S.
1
1973
On maximal finite groups of integer (\(n \times n\))-matrices. Zbl 0275.20092
Ryshkov, S. S.
4
1972
Maximale endliche Gruppen ganzzahliger \(n \times n\)-Matrizen und vollständige Gruppen ganzzahliger Automorphismen positiver quadratischer Formen (Bravaisschen Typs). Zbl 0276.20038
Ryshkov, S. S.
3
1972
On complete groups of integral automorphisms of positive quadratic forms. Zbl 0266.10025
Ryshkov, S. S.
1
1972
On Hermite, Minkowski and Venkov reduction of positive quadratic forms in n variables. Zbl 0268.10017
Ryshkov, S. S.
1
1972
On the reduction theory of positive quadratic forms. Zbl 0237.10020
Ryshkov, S. S.
2
1971
A new construction in the theory of lattice coverings of an \(n\)-dimensional space by equal spheres. Zbl 0217.18601
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
1
1971
The polyhedron \(\mu\)(m) and some extremal problems in the geometry of numbers. Zbl 0229.10013
Ryshkov, S. S.
8
1970
Ein neuer Aufbau der Theorie der gitterförmigen Überdeckungen des n- dimensionalen Raumes vermittels gleicher Kugeln. Zbl 0204.55301
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
3
1970
A two-dimensional \(\zeta\)-function with a real parameter. Zbl 0201.05103
Ryshkov, S. S.
2
1969
A contribution to the theory of the extrema of a multidimensional \(\zeta\)-function. Zbl 0155.09301
Delone, B. N.; Ryshkov, S. S.
9
1967
Effectuation of a method of Davenport in the theory of coverings. Zbl 0157.52604
Ryshkov, S. S.
3
1967
A theorem due to Sandakova concerning positive quadratic forms. Zbl 0159.06602
Delone, B. N.; Ryshkov, S. S.; Shtogrin, M. I.
1
1967
Optimal cubature lattice for functions of two variables that are smooth on all sides. Zbl 0136.43201
Delone, B. N.; Sandakova, N. N.; Ryshkov, S. S.
1
1965
The structure of an \(n\)-dimensional parallelohedron of the first kind. Zbl 0152.20603
Ryshkov, S. S.
1
1962
Über k-reguläre Einbettungen und ihre Anwendung in der Theorie der Annäherung von Funktionen. Zbl 0122.30703
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
1
1960
On k-regular imbeddings. Zbl 0141.40101
Ryshkov, S. S.
2
1959
all top 5

Cited by 105 Authors

18 Grishukhin, Vyacheslav Petrovich
10 Deza, Michel Marie
10 Dutour-Sikiric, Mathieu
7 Ryshkov, Sergeĭ Sergeevich
6 Tammela, P. P.
4 Danilov, Vladimir I.
4 Garber, Alexeĭ Igorevich
4 Gruber, Peter Manfred
4 Schürmann, Achill
4 Vallentin, Frank
3 Erdahl, Robert M.
3 Grushevsky, Samuel
3 Hulek, Klaus
3 Magazinov, Alexander Nikolaevich
2 Afflerbach, Lothar
2 Alexeev, Valery A.
2 Anzin, M. M.
2 Baranovskiĭ, Evgeniĭ Petrovich
2 Bétermin, Laurent
2 Coulangeon, Renaud
2 Dolbilin, Nikolaĭ Petrovich
2 Gavrilyuk, A. A.
2 Glazunov, Mykola Mykhaĭlovych
2 Ignatenko, V. F.
2 Koshevoy, Gleb A.
2 Laurent, Monique
2 Lazzarini, Giovanni
2 Malyshev, Fëdor Mikhaĭlovich
2 Melo, Margarida
2 Santos, Francisco
2 Shtogrin, Mikhail Ivanovich
2 Shushbaev, S. Sh.
2 Strömbergsson, Andreas
2 Viviani, Filippo
1 Artstein-Avidan, Shiri
1 Babenko, Vladyslav Fedorovych
1 Babenko, Yuliya
1 Baek, Jongmin
1 Bishnu, Arijit
1 Bogatyĭ, Semeon Antonovich
1 Boltyanskij, Vladimir Grigor’evich
1 Brannetti, Silvia
1 Brunyate, Adrian
1 Casalaina-Martin, Sebastian
1 Chen, Hao
1 Chiu, Patrick
1 Chua, Kok Seng
1 Chuprunov, E. V.
1 Delone, Boris Nikolaevich
1 Desai, Sameer
1 Dolson, Jennifer
1 Engel, Peter
1 Faulhuber, Markus
1 Fukshansky, Lenny
1 Galiulin, Ravil Vagizovich
1 Ghosh, Arijit
1 Goswami, Mayank
1 Grothe, Holger
1 Grünbaum, Branko
1 Haase, Christian Alexander
1 Henshaw, Glenn R.
1 Horvath, J. G.
1 Hughes, Robert B.
1 Hunkenschröder, Christoph
1 Jaquet-Chiffelle, David-Olivier
1 Joós, Antal
1 Knüpfer, Hans
1 Kuntsevich, T. S.
1 Laza, Radu
1 Liao, Philip
1 Lomakina, Z. D.
1 Marklof, Jens
1 Maxwell, George
1 McCormick, S. Thomas
1 Merzlyakov, Yu. I.
1 Michel, Louis
1 Mohammadi, Fatemeh
1 Nakamura, Iku
1 Nebe, Gabriele
1 Oishi-Tomiyasu, Ryoko
1 Orlovskaya, E. V.
1 Paffenholz, Andreas
1 Paul, Subhabrata
1 Peis, Britta
1 Piechnik, Lindsey C.
1 Prince, Matthew
1 Reuland, Gina
1 Rybnikov, Konstantin A. jun.
1 Sarnak, Peter Clive
1 Scheidweiler, Robert
1 Schymura, Matthias
1 Shashkin, Yu. A.
1 Shokrieh, Farbod
1 Slomka, Boaz A.
1 Södergren, Anders
1 Sukharev, Aleksei G.
1 Sun, Xun
1 Tarkhanov, Nikolai N.
1 Tommasi, Orsola Paola Maria
1 Vasiliev, Sergey B.
...and 5 more Authors
all top 5

Cited in 59 Serials

14 Journal of Soviet Mathematics
13 European Journal of Combinatorics
12 Mathematical Notes
5 Chebyshevskiĭ Sbornik
5 Proceedings of the Steklov Institute of Mathematics
4 Advances in Mathematics
4 Siberian Mathematical Journal
4 Discrete & Computational Geometry
3 Inventiones Mathematicae
2 Journal of Number Theory
2 Combinatorica
2 SIAM Journal on Discrete Mathematics
2 Journal de Théorie des Nombres de Bordeaux
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Physics Reports
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Computing
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Cybernetics
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Discrete Mathematics and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 L’Enseignement Mathématique. 2e Série
1 SIAM Journal on Applied Mathematics
1 Mathematical Programming. Series A. Series B
1 Journal of Mathematical Imaging and Vision
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Journal of Geodesy
1 Sbornik: Mathematics
1 Annals of Combinatorics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Crystallographica. Section A
1 Journal of Siberian Federal University. Mathematics & Physics
1 Matematicheskie Voprosy Kriptografii

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