Exceptional cases of Terai's conjecture on Diophantine equations

DOI10.1007/s00013-010-0201-6zbMath1210.11047OpenAlexW1986874713WikidataQ123193636 ScholiaQ123193636MaRDI QIDQ616143

Takafumi Miyazaki

Publication date: 7 January 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0201-6

zbMATH Keywords

exponential Diophantine equationsTerai's conjecture

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (8)

Unnamed Item ⋮ On the exponential Diophantine equation \((m^2+m+1)^x+m^y=(m+1)^z\) ⋮ On the exponential Diophantine equation $(n-1)^{x}+(n+2)^{y}=n^{z}$ ⋮ On the exponential Diophantine equation (18m2 + 1)x + (7m2 -1)y = (5m)z ⋮ On the Diophantine equation (( c + 1) m 2 + 1) x + ( cm 2 ⋮ On the Diophantine equation $(5pn^{2}-1)^{x}+(p(p-5)n^{2}+1)^{y}=(pn)^{z}$ ⋮ ON THE EXPONENTIAL DIOPHANTINE EQUATION ⋮ On the system of Diophantine equations \((m^2 - 1)^r + b^2 = c^2\) and \((m^2 - 1)^x + b^y = c^z\)

Cites Work

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