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Open Accesshttps://doi.org/10.1016/j.jnt.2006.12.009
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Cite Journal: Journal of Number Theory |  Publication Date: Jan 8, 2007 |
 Citations: 23 |  License type: elsevier-specific: oa user license |
Affiliation: University of Debrecen
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 1 k + 2 k + ⋯ + x k = y 2 n in positive integers x , y , n with n > 2 has only the trivial solution ( x , y ) = ( 1 , 1 ) .
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