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On the power values of power sums

✍ Scribed by Ákos Pintér

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
140 KB
Volume
125
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis

Using several currently available techniques, including Baker's method, Frey curves and modular forms, we prove that for odd values of k with 1 k < 170, the equation

in positive integers x, y, n with n > 2 has only the trivial solution (x, y) = (1, 1).

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