scholarly journals On the quantitative unit sum number problem–-an application of the subspace theorem

2008 ◽  
Vol 133 (4) ◽  
pp. 297-308 ◽  
Author(s):  
Alan Filipin ◽  
Robert Tichy ◽  
Volker Ziegler
Keyword(s):  
Subspace Theorem ◽  
Unit Sum Number ◽  
Number Problem ◽  
Unit Sum Number Problem

scholarly journals On quantitative aspects of the unit sum number problem

2009 ◽  
Vol 93 (3) ◽  
pp. 259-268 ◽  
Author(s):  
Clemens Fuchs ◽  
Robert Tichy ◽  
Volker Ziegler
Keyword(s):  
Unit Sum Number ◽  
Number Problem ◽  
Unit Sum Number Problem

THE ADDITIVE S-UNIT STRUCTURE OF QUADRATIC FIELDS

2011 ◽  
Vol 07 (03) ◽  
pp. 635-644
Author(s):  
VOLKER ZIEGLER
Keyword(s):  
Quadratic Fields ◽  
Unit Structure ◽  
Unit Sum Number ◽  
Number Problem ◽  
Unit Sum Number Problem

We consider a variation of the unit sum number problem for quadratic fields and prove various results.

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

Cryptanalysis of elliptic curve hidden number problem from PKC 2017

2019 ◽  
Vol 88 (2) ◽  
pp. 341-361
Author(s):  
Jun Xu ◽  
Lei Hu ◽  
Santanu Sarkar
Keyword(s):  
Elliptic Curve ◽  
Number Problem ◽  
Hidden Number Problem

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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