Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
Sums of Positive Integer Powers with Unlike Exponents
Creator:
Garista, Eugenio ; Zanoni, Alberto
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Uncontrolled Keywords:
Number Theory ; Sums of Powers ; Integer Sequences
Coverage:
Abstract:
Consider the following problem: given a positive integer, what is the minimum number of positive integer powers having unlike exponents greater than one such that their sum is equal to the given number? We deal with this open question by presenting some experimental results, indicating some inequalities and relations, presenting some new integer sequences, obtaining a bivariate generating function, and eventually proposing a conjecture.
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Electronic Open Access Publication of the National Academy of Sciences of Armenia