scholarly journals Earnshaw’s Theorem in Electrostatics and a Conditional Converse to Dirichlet’s Theorem

2013 ◽  
pp. 1-10 ◽  
Author(s):  
Jeffrey Rauch
Keyword(s):  
Dirichlet’S Theorem ◽  
Dirichlet's Theorem ◽  
Earnshaw's Theorem

scholarly journals Dirichlet's Theorem in Function Fields

2017 ◽  
Vol 69 (3) ◽  
pp. 532-547 ◽  
Author(s):  
Arijit Ganguly ◽  
Anish Ghosh
Keyword(s):  
Diophantine Approximation ◽  
Function Fields ◽  
Dirichlet’S Theorem ◽  
Dirichlet's Theorem

AbstractWe studymetric Diophantine approximation for function fields, specifically, the problem of improving Dirichlet's theorem in Diophantine approximation.

Dirichlet's theorem on diophantine approximation

1978 ◽  
Vol 83 (1) ◽  
pp. 37-59 ◽  
Author(s):  
R. C. Baker
Keyword(s):  
Diophantine Approximation ◽  
Euclidean Plane ◽  
Dirichlet’S Theorem ◽  
Dirichlet's Theorem ◽  
Image Position

Let N take the values 1, 2, … A theorem of Dirichlet asserts that for any (x, y) in the Euclidean plane R2 the inequalityis soluble in integers q1, q2, p with 0 < max (|q1|, |q2|) ≤ N.

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