Applications of the Subspace Theorem to Certain Diophantine Problems

2008 ◽  
pp. 161-174 ◽  
Author(s):  
Pietro Corvahja ◽  
Umberto Zannier
Keyword(s):  
Subspace Theorem ◽  
Diophantine Problems

Diophantine approximation

2021 ◽  
Vol 34 (2) ◽  
pp. 205-229
Author(s):  
Noriko Hirata-Kohno
Keyword(s):  
Number Theory ◽  
Diophantine Approximation ◽  
Recent Progress ◽  
Padé Approximation ◽  
Pade Approximation ◽  
Fundamental Properties ◽  
Subspace Theorem ◽  
Diophantine Problems

This article gives an introductory survey of recent progress on Diophantine problems, especially consequences coming from Schmidt’s subspace theorem, Baker’s transcendence method and Padé approximation. We present fundamental properties around Diophantine approximation and how it yields results in number theory.

A note on some applications of the subspace theorem

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Rishabh Agnihotri ◽  
Debasish Karmakar ◽  
Veekesh Kumar
Keyword(s):  
Subspace Theorem

scholarly journals An invariant subspace theorem on subdecomposable operators

2000 ◽  
Vol 61 (1) ◽  
pp. 11-26
Author(s):  
Mingxue Liu
Keyword(s):  
Invariant Subspace ◽  
Additional Condition ◽  
Subspace Theorem ◽  
Subspace Problem ◽  
Invariant Subspace Problem

H. Mohebi and M. Radjabalipour raised a conjecture on the invariant subspace problem in 1994. In this paper, we prove the conjecture under an additional condition, and obtain an invariant subspace theorem on subdecomposable operators.

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