Object structure

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2025

Volume:

17

Number:

3

ISSN:

1829-1163

Official URL:


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:

Mathematics

Uncontrolled Keywords:

Number Theory ; Sums of Powers ; Integer Sequences

Coverage:

1–11

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.

Type:

Electronic journal

Format:

pdf

Identifier:

click here to follow the link

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան