Oleg N. German

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All published works

Action	Title	Year	Authors
+ PDF Chat	On triviality of uniform Diophantine exponents of lattices	2023	Oleg N. German
+ PDF Chat	An Analogue of Mahler’s Transference Theorem for Multiplicative Diophantine Approximation	2023	Oleg N. German
+ PDF Chat	AN ANALOGUE OF MAHLER’S TRANSFERENCE THEOREM FOR MULTIPLICATIVE DIOPHANTINE APPROXIMATION	2023	Oleg N. German
+ PDF Chat	On the transference principle and Nesterenko's linear independence criterion	2023	Oleg N. German Nikolay Moshchevitin
+	An analogue of Mahler's transference theorem for multiplicative Diophantine approximation	2023	Oleg N. German
+	Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients	2023	Elmir Rufkatovich Bigushev Oleg N. German
+ PDF Chat	Geometry of Diophantine exponents	2023	Oleg N. German
+	On triviality of uniform Diophantine exponents of lattices	2023	Oleg N. German
+ PDF Chat	On the transference principle and Nesterenko's linear independence criterion	2023	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients	2023	Elmir Rufkatovich Bigushev Oleg N. German
+ PDF Chat	Geometry of Diophantine exponents	2023	Oleg N. German
+ PDF Chat	Badly Approximable Matrices and Diophantine Exponents	2022	Oleg N. German
+ PDF Chat	Multiparametric geometry of numbers and its application to splitting transference theorems	2022	Oleg N. German
+	Diophantine exponents of lattices and growth of multidimensional analogues of partial quotients	2022	Elmir R. Bigushev Oleg N. German
+	Geometry of Diophantine exponents	2022	Oleg N. German
+	A NEW VERSION OF THE GROUP RESOLUTION PRINCIPLE FOR A MINIMUM WEIGHTED COVER PROBLEM	2021	Oleg N. German Julia German
+ PDF Chat	Симметрии двумерной цепной дроби	2021	Oleg N. German Ibragim Aslanovich Tlyustangelov
+	On transference principle and Nesterenko's linear independence criterion	2021	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	Symmetries of a two-dimensional continued fraction	2020	Oleg N. German Ibragim Aslanovich Tlyustangelov
+ PDF Chat	TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS	2020	Oleg N. German
+ PDF Chat	Линейные формы заданного диофантового типа и экспоненты решеток	2020	Oleg N. German
+	Multiparametric approach towards Diophantine approximation with weights	2020	Oleg N. German
+	Multiparametric geometry of numbers and its application to splitting transference theorems	2020	Oleg N. German
+ PDF Chat	Linear forms of a given Diophantine type and lattice exponents	2019	Oleg N. German
+	Transference theorems for Diophantine approximation with weights	2019	Oleg N. German
+	Transference theorems for Diophantine approximation with weights	2019	Oleg N. German
+	Linear forms of a given Diophantine type and lattice exponents	2018	Oleg N. German
+	Problems concerning Diophantine exponents of lattices	2018	Oleg N. German
+	Multiplicative parametric geometry of numbers and transference theorems for lattice exponents	2018	Oleg N. German
+	Linear forms of a given Diophantine type and lattice exponents	2018	Oleg N. German
+ PDF Chat	Diophantine exponents of lattices	2017	Oleg N. German
+	Klein polyhedra as multidimensional analogue of continued fractions	2017	Oleg N. German
+	On the spectrum of lattice exponents	2017	Oleg N. German
+	Lattices and Diophantine exponents	2017	Oleg N. German
+	A short proof of Minkowski's second theorem and its application to some open questions	2016	Oleg N. German
+	Diophantine exponents of lattices	2016	Oleg N. German
+	Palindromes and periodic continued fractions	2016	Oleg N. German Ibragim Aslanovich Tlyustangelov
+ PDF Chat	Диофантовы экспоненты решеток	2016	Oleg N. German
+	Badly approximable points on manifolds, II	2016	Oleg N. German
+	Diophantine exponents of lattices and multidimensional continued fractions	2016	Oleg N. German
+	Diophantine exponents of lattices	2016	Oleg N. German
+	Palindromes and periodic continued fractions	2016	Oleg N. German Ibragim Aslanovich Tlyustangelov
+	A short proof of Minkowski's second theorem and its application to some open questions	2016	Oleg N. German
+ PDF Chat	A strengthening of Mahler's transference theorem	2015	Oleg N. German Konstantin Georgievich Evdokimov
+ PDF Chat	Усиление теоремы переноса Малера	2015	Oleg N. German Konstantin Georgievich Evdokimov
+	On periodic continued fractions with palindromic period	2015	Oleg N. German
+	Klein polyhedra and Oppenheim conjecture for linear forms	2013	Oleg N. German
+	Плохо приближаемые матрицы и диофантовы экспоненты 2	2013	Oleg N. German
+ PDF Chat	A simple proof of Schmidt–Summerer’s inequality	2012	Oleg N. German Nikolay Moshchevitin
+	A simple proof of Schmidt-Summerer's inequality	2012	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	Intermediate Diophantine exponents and parametric geometry of numbers	2012	Oleg N. German
+	A simple proof of Schmidt-Summerer's inequality	2012	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	Transference inequalities for multiplicative diophantine exponents	2011	Oleg N. German
+	Intermediate Diophantine exponents and parametric geometry of numbers	2011	Oleg N. German
+	Splitting transference inequalities with the help of Wolfgang Schmidt's parametric geometry of numbers	2011	Oleg N. German
+	How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers	2011	Oleg N. German
+	Splitting transference inequalities with the help of Wolfgang Schmidt's parametric geometry of numbers	2011	Oleg N. German
+	Intermediate Diophantine exponents and parametric geometry of numbers	2011	Oleg N. German
+	Transference inequalities for multiplicative Diophantine exponents	2010	Oleg N. German
+ PDF Chat	‘Minesweeper’ and spectrum of discrete Laplacians	2010	Oleg N. German Evgeny Lakshtanov
+	On Diophantine exponents and Khintchine's transference principle	2010	Oleg N. German
+	An inequality for Diophantine exponents in the case of simultaneous approximation	2010	Oleg N. German
+ PDF Chat	Linear forms of a given Diophantine type	2010	Oleg N. German Nikolay Moshchevitin
+	Transference inequalities for multiplicative Diophantine exponents	2010	Oleg N. German
+	On Diophantine exponents and Khintchine's transference principle	2010	Oleg N. German
+	"Minesweeper" without a computer	2008	Oleg N. German Evgeny Lakshtanov
+	On a multidimensional generalization of Lagrange's theorem on continued fractions	2008	Oleg N. German Evgeny Lakshtanov
+	Theorem on best Diophantine approximations for linear forms	2008	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	О многомерном обобщении теоремы Лагранжа для цепных дробей	2008	Oleg N. German Oleg N. German Evgeny Lakshtanov Evgeny Lakshtanov
+	Linear forms of a given Diophantine type	2008	Oleg N. German Nikolay Moshchevitin
+ PDF Chat	Klein polyhedra and lattices with positive norm minima	2007	Oleg N. German
+	Klein polyhedra and relative minima of lattices	2006	Oleg N. German
+	On multidimensional generalization of the Lagrange theorem on continued fractions	2006	Oleg N. German Evgeniy L. Lakshtanov
+ PDF Chat	Klein polyhedra and norm minima of lattices	2006	Oleg N. German
+	Sails and norm minima of lattices	2005	Oleg N. German
+	Klein polyhedra and norm minima of lattices	2005	Oleg N. German
+ PDF Chat	Паруса и норменные минимумы решеток	2005	Oleg N. German Oleg N. German
+	Klein polyhedra and lattices with positive norm minima	2005	Oleg N. German

Common Coauthors

Coauthor	Papers Together
Nikolay Moshchevitin	9
Ibragim Aslanovich Tlyustangelov	4
Evgeny Lakshtanov	4
Konstantin Georgievich Evdokimov	2
Elmir Rufkatovich Bigushev	2
Elmir R. Bigushev	1
Evgeniy L. Lakshtanov	1
Julia German	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the product of three homogeneous linear forms and indefinite ternary quadratic forms	1955	J. W. S. Cassels H. P. F. Swinnerton-Dyer	16
+	Über eine Klasse linearer diophantischer Approximationen	1926	A. Khintchine	12
+	None	2003	Jacques-Olivier Moussafir	12
+ PDF Chat	Klein polyhedra and lattices with positive norm minima	2007	Oleg N. German	10
+ PDF Chat	Parametric geometry of numbers and applications	2009	Wolfgang M. Schmidt Leonhard Summerer	10
+	Diophantine approximation and parametric geometry of numbers	2012	Wolfgang M. Schmidt Leonhard Summerer	10
+	Sails and norm minima of lattices	2005	Oleg N. German	10
+ PDF Chat	Intermediate Diophantine exponents and parametric geometry of numbers	2012	Oleg N. German	10
+	On Simultaneous Diophantine Approximations	1946	Frank Dyson	10
+ PDF Chat	Klein polyhedra and norm minima of lattices	2006	Oleg N. German	9
+ PDF Chat	Паруса и норменные минимумы решеток	2005	Oleg N. German Oleg N. German	8
+	Diophantine Approximation	1980	Wolfgang M. Schmidt	8
+ PDF Chat	On transfer inequalities in Diophantine approximation, II	2009	Yann Bugeaud Laurent Michel	7
+ PDF Chat	A geometric inequality with applications to linear forms	1979	Jeffrey D. Vaaler	7
+	On Compound Convex Bodies (I)	1955	Kurt Mahler	7
+	On Diophantine exponents and Khintchine's transference principle	2010	Oleg N. German	7
+ PDF Chat	Transference inequalities for multiplicative diophantine exponents	2011	Oleg N. German	7
+ PDF Chat	Exponents of Diophantine Approximation in Dimension Two	2009	Michel Laurent	7
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	7
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels	7
+	Palindromes and periodic continued fractions	2016	Oleg N. German Ibragim Aslanovich Tlyustangelov	6
+ PDF Chat	Geometry of Continued Fractions	2013	Oleg Karpenkov	6
+ PDF Chat	Linear forms of a given Diophantine type and lattice exponents	2019	Oleg N. German	6
+ PDF Chat	Диофантовы экспоненты решеток	2016	Oleg N. German	6
+ PDF Chat	A strengthening of Mahler's transference theorem	2015	Oleg N. German Konstantin Georgievich Evdokimov	6
+	Minima of decomposable forms of degree n in n variables for n ? 3	1992	B. F. Skubenko	6
+ PDF Chat	There is no analogue to Jarník’s relation for twisted Diophantine approximation	2016	Antoine Marnat	6
+ PDF Chat	Higher-dimensional analogues of periodic continued fractions and cusp singularities	1983	Hiroyasu Tsuchihashi	6
+	On Heights of Algebraic Subspaces and Diophantine Approximations	1967	Wolfgang M. Schmidt	6
+	On Diophantine exponents and Khintchine's transference principle	2010	Oleg N. German	6
+ PDF Chat	Diophantine exponents of lattices	2017	Oleg N. German	6
+ PDF Chat	Contribution to the linear and homogeneous Diophantine approximations	1954	Vojtěch Jarník	5
+ PDF Chat	A contribution to Khintchine's principle of transfer	1951	Alois Apfelbeck	5
+	Diophantine Approximation	1980	Wolfgang M. Schmidt	5
+	On Compound Convex Bodies (II)	1955	Kurt Mahler	5
+	Minimum of a decomposable cubic form of three variables	1991	B. F. Skubenko	4
+ PDF Chat	AN OPTIMAL BOUND FOR THE RATIO BETWEEN ORDINARY AND UNIFORM EXPONENTS OF DIOPHANTINE APPROXIMATION	2020	Antoine Marnat Nikolay Moshchevitin	4
+ PDF Chat	Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents	2019	Sam Chow Anish Ghosh Lifan Guan Antoine Marnat David Simmons	4
+	Introduction to Diophantine Approximations	1995	Serge Lang	4
+ PDF Chat	Линейные формы заданного диофантового типа и экспоненты решеток	2020	Oleg N. German	4
+ PDF Chat	A transference principle for simultaneous rational approximation	2020	Ngoc Ai Van Nguyen Anthony Poëls Damien Roy	4
+ PDF Chat	A simple proof of Schmidt–Summerer’s inequality	2012	Oleg N. German Nikolay Moshchevitin	4
+ PDF Chat	Optimality of two inequalities for exponents of Diophantine approximation	2022	Johannes Schleischitz	4
+ PDF Chat	Khintchine's singular Diophantine systems and their applications	2010	Nikolay Moshchevitin	4
+	A NOTE ON SOME METRICAL THEOREMS IN DIOPHANTINE APPROXIMATION	2005	Wang Yuan Kunrui Yu	4
+	Ein Übertragungsprinzip für konvexe Körper	1939	Kurt Mahler	4
+ PDF Chat	Усиление теоремы переноса Малера	2015	Oleg N. German Konstantin Georgievich Evdokimov	4
+	Ergodic theory on SL ( n ), diophantine approximations and anomalies in the lattice point problem	1998	M. M. Skriganov	4
+	Volumes of sections of cubes and related problems	2006	Keith Ball	4
+ PDF Chat	TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS	2020	Oleg N. German	3