Unsolvability of the equation \(\alpha x^n + \beta y^n = z^n\) and uniform distribution of \(\root n \of {\alpha x^n + \beta y^n}\)

DOI10.1007/s00605-003-0197-0zbMath1162.11325OpenAlexW2033648643MaRDI QIDQ706206

Klaus Langmann

Publication date: 7 February 2005

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-003-0197-0

zbMATH Keywords

uniform distributionDiophantine equation \(\alpha x^n + \beta y^n = z^n\)Gauss sums in two variables

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Irregularities of distribution, discrepancy (11K38) Weyl sums (11L15)

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