Triangularly connected decomposable form equations

1998 ◽  
pp. 153-164
Keyword(s):  
Decomposable Form

scholarly journals Decomposable form equations

2015 ◽  
pp. 231-283
Author(s):  
Jan-Hendrik Evertse ◽  
Kalman Gyory
Keyword(s):  
Decomposable Form

scholarly journals Decomposable Form Inequalities

2001 ◽  
Vol 153 (3) ◽  
pp. 767 ◽  
Author(s):  
Jeffrey Lin Thunder
Keyword(s):  
Decomposable Form

scholarly journals On the spatial distribution of solutions of decomposable form equations

2001 ◽  
Vol 71 (238) ◽  
pp. 633-649
Author(s):  
G. Everest ◽  
I. Gaál ◽  
K. Györy ◽  
C. Röttger
Keyword(s):  
Spatial Distribution ◽  
Decomposable Form

ON THE PROBLEM OF INTEGER SOLUTIONS TO DECOMPOSABLE FORM INEQUALITIES

2008 ◽  
Vol 04 (05) ◽  
pp. 859-872 ◽  
Author(s):  
YUANCHENG LIU
Keyword(s):  
Real Number ◽  
Number Field ◽  
Finite Set ◽  
Integer Solutions ◽  
Decomposable Form

This paper proves a conjecture proposed by Chen and Ru in [1] on the finiteness of the number of integer solutions to decomposable form inequalities. Let k be a number field and let F(X1,…,Xm) be a non-degenerate decomposable form with coefficients in k. We show that for every finite set of places S of k containing the archimedean places of k, for each real number λ < 1 and each constant c > 0, the inequality [Formula: see text] has only finitely many [Formula: see text]-non-proportional solutions, where HS(x1,…,xm) = Πυ∈S max 1≤i≤m ||xi||υ is the S-height.

scholarly journals Finiteness criteria for decomposable form equations

1988 ◽  
Vol 50 (4) ◽  
pp. 357-379 ◽  
Author(s):  
Jan-Hendrik Evertse ◽  
Kalman Győry
Keyword(s):  
Decomposable Form

scholarly journals Decomposable form equations

1988 ◽  
pp. 175-202 ◽  
Author(s):  
J.-H. Evertse ◽  
K. Győry
Keyword(s):  
Decomposable Form

scholarly journals Bounds for the solutions of S-unit equations and decomposable form equations

2006 ◽  
Vol 123 (1) ◽  
pp. 9-41 ◽  
Author(s):  
Kálmán Győry ◽  
Kunrui Yu
Keyword(s):  
Unit Equations ◽  
Decomposable Form
Sign in / Sign up

Export Citation Format

Share Document