Linear forms of a given Diophantine type and lattice exponents

Oleg N. German

Type: Article

Publication Date: 2019-06-25

Citations: 7

DOI: https://doi.org/10.1070/im8810

Abstract

Abstract In this paper we prove an existence theorem concerning linear forms of a given Diophantine type and apply it to study the structure of the spectrum of lattice exponents.

Locations

Izvestiya Mathematics - View
arXiv (Cornell University) - View - PDF

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+	Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients	2023	Elmir Rufkatovich Bigushev Oleg N. German
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+	On the Existence of Periodic and Bounded Solutions for Functional Differential Equations of Pointwise Type with a Strongly Nonlinear Right-Hand Side	2020	L. A. Beklaryan A. L. Beklaryan
+ PDF Chat	Geometry of Diophantine exponents	2023	Oleg N. German
+ PDF Chat	On triviality of uniform Diophantine exponents of lattices	2023	Oleg N. German
+	On triviality of uniform Diophantine exponents of lattices	2023	Oleg N. German
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Works Cited by This (7)

Action	Title	Year	Authors
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels
+	Ergodic theory on SL ( n ), diophantine approximations and anomalies in the lattice point problem	1998	M. M. Skriganov
+ PDF Chat	Parametric geometry of numbers and applications	2009	Wolfgang M. Schmidt Leonhard Summerer
+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine
+ PDF Chat	Linear forms of a given Diophantine type	2010	Oleg N. German Nikolay Moshchevitin
+	Diophantine approximation and parametric geometry of numbers	2012	Wolfgang M. Schmidt Leonhard Summerer
+ PDF Chat	Диофантовы экспоненты решеток	2016	Oleg N. German