THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn-Reference-Cited by-同舟云学术

THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn

Published:2010-03 Issue:02 Volume:06 Page:311-338
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

BENNETT MICHAEL A.¹,ELLENBERG JORDAN S.²,NG NATHAN C.³

Affiliation:

1. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC V6T 1Z2, Canada

2. Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI 53705, USA

3. Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive, Lethbridge, AB, T1K 3M4, Canada

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]

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110002971

Reference15 articles.

1. Towers of 2-covers of hyperelliptic curves

2. On the Equations zm = F (x, y ) and Axp + Byq = Czr

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