On the sum of fourth powers in arithmetic progression
نویسندگان
چکیده
منابع مشابه
Perfect powers in arithmetic progression 1 PERFECT POWERS IN ARITHMETIC PROGRESSION. A NOTE ON THE INHOMOGENEOUS CASE
We show that the abc conjecture implies that the number of terms of any arithmetic progression consisting of almost perfect ”inhomogeneous” powers is bounded, moreover, if the exponents of the powers are all ≥ 4, then the number of such progressions is finite. We derive a similar statement unconditionally, provided that the exponents of the terms in the progression are bounded from above.
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2020
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042121500093