JOURNAL ARTICLE
THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn
Michael A. BennettJordan S. EllenbergNathan Ng
Year: 2010 Journal: International Journal of Number Theory Vol: 06 (02)Pages: 311-338 Publisher: World Scientific
Abstract
In a previous paper, the second author proved that the equation [Formula: see text] had no integral solutions for prime p > 211 and (A,B,C) = 1. In the present paper, we explain how to extend this result to smaller exponents, and to the related equation [Formula: see text]
Keywords:
Mathematics Diophantine equation Prime (order theory) Combinatorics Physics
Metrics
43
Cited By
4.62
FWCI (Field Weighted Citation Impact)
15
Refs
0.94
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
Analytic Number Theory Research
Physical Sciences → Mathematics → Algebra and Number Theory
Finite Group Theory Research
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
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