On the equation $1^k + 2^k + ... + x^k = y^z$
نویسندگان
چکیده
منابع مشابه
A computational approach for solving y2 =1k + 2k + ... + xk
We present a computational approach for finding all integral solutions of the equation y2 = 1k + 2k + · · ·+xk for even values of k. By reducing this problem to that of finding integral solutions of a certain class of quartic equations closely related to the Pell equations, we are able to apply the powerful computational machinery related to quadratic number fields. Using our approach, we deter...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1980
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-37-1-233-240