Geometry of numbers

2014 ◽  
pp. 41-61
Keyword(s):  
Geometry Of Numbers

THE GEOMETRY OF NUMBERS

Nature ◽  
1947 ◽  
Vol 159 (4029) ◽  
pp. 104-105 ◽  
Keyword(s):  
Geometry Of Numbers

The main notions and theoremes of the geometry of numbers

2019 ◽  
Vol 20 (3) ◽  
pp. 43-74
Author(s):  
Vasilyevich Malyshev Aleksandr
Keyword(s):  
Geometry Of Numbers

On a conjecture of Mahler in the geometry of numbers

1972 ◽  
Vol 39 (4) ◽  
pp. 649-655 ◽  
Author(s):  
A. C. Woods
Keyword(s):  
Geometry Of Numbers

scholarly journals Counting Bounded Elements of a Number Field

2020 ◽  
Author(s):  
Mikołaj Fraczyk ◽  
Gergely Harcos ◽  
Péter Maga
Keyword(s):  
Group Theory ◽  
Number Field ◽  
Geometry Of Numbers ◽  
Combine Group ◽  
Successive Minima ◽  
Ideal Lattices ◽  
Linearly Independent ◽  
Ramification Theory

Abstract We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obtain new bounds for the successive minima of ideal lattices. Our arguments combine group theory, ramification theory, and the geometry of numbers.

scholarly journals Measure inequalities and the transference theorem in the geometry of numbers

2013 ◽  
Vol 142 (1) ◽  
pp. 47-57 ◽  
Author(s):  
Chengliang Tian ◽  
Mingjie Liu ◽  
Guangwu Xu
Keyword(s):  
Geometry Of Numbers ◽  
Transference Theorem

scholarly journals Geometry of Numbers Proof of Götzky's Four-Squares Theorem

2002 ◽  
Vol 96 (2) ◽  
pp. 417-431
Author(s):  
Jesse Ira Deutsch
Keyword(s):  
Geometry Of Numbers

Geometry of numbers

1979 ◽  
pp. 186-225 ◽  
Author(s):  
Peter M. Gruber
Keyword(s):  
Geometry Of Numbers
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