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Ramanujan, the taxicab problem for polynomials, and the abc-conjecture

Gyarmati, Katalin (2026) Ramanujan, the taxicab problem for polynomials, and the abc-conjecture. RESEARCH IN NUMBER THEORY, 12 (9). pp. 1-28. ISSN 2363-9555

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Abstract

Starting with Ramanujan's famous taxicab problem, we can study the solvability of the equations $p^n+q^n=r^n+s^n$ and, more generally, $p_1^{k_1}+\dots+p_m^{k_m}=0$ among polynomials.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
Depositing User: Katalin Gyarmati
Date Deposited: 10 Apr 2026 07:29
Last Modified: 10 Apr 2026 07:29
URI: https://real.mtak.hu/id/eprint/236888

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