Stolt, Bengt Die Anzahl von Lösungen gewisser diophantischer Gleichungen. (German) Zbl 0079.27101 Arch. Math. 8, 393-400 (1958). Reviewer: E. S. Selmer Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 5 Documents MSC: 11D45 Counting solutions of Diophantine equations 11D41 Higher degree equations; Fermat’s equation 11D61 Exponential Diophantine equations Keywords:number of solutions; Diophantine equations in two unknowns Citations:Zbl 0034.17003 PDFBibTeX XMLCite \textit{B. Stolt}, Arch. Math. 8, 393--400 (1958; Zbl 0079.27101) Full Text: DOI References: [1] T. Nagell, Des équations indéterminéesx 2 +x+1=y n etx 2 +x+1=3y n . Norsk matem. forenings skrifter I Nr. 2, 1–14 (1921). [2] T. Nagell, Verallgemeinerung eines Fermatschen Satzes. Arch. Math.5, 153–159 (1954). · Zbl 0055.03608 · doi:10.1007/BF01899332 [3] T. Nagell, Sur l’impossibilité de quelques équations à deux indeterminées. Norsk matem. forenings skrifter I Nr. 13, 65–82 (1923). [4] T. Nagell, On the Diophantine equationx 2 +8D=y n . Ark. mat.3, 103–112 (1955). · Zbl 0064.04007 · doi:10.1007/BF02589348 [5] T. Nagell, Contributions to the theory of a category of Diophantine equations of the second degree with two unknowns. Nova Acta Soc. Sci. Upsal. IV Ser.16, 1–38 (1955). [6] W. Ljunggren, Einige Bemerkungen über die Darstellung ganzer Zahlen durch binäre kubische Formen mit positiver Diskriminante. Acta math.75, 1–21 (1942). · Zbl 0060.09104 · doi:10.1007/BF02404100 [7] W. Ljunggren, On the Diophantine equationx 2 +p 2 =y n . Norske Vid. Selsk. Forhdl.16, 27–30 (1943). · Zbl 0060.09106 [8] W. Ljunggren, On the Diophantine equationx 2 +D=y n . Norske Vid. Selsk. Forhdl.17, 93–96 (1944). · Zbl 0060.09107 [9] B. Persson, On a diophantine equation in two unknowns. Ark. mat.1, 45–57 (1949). · Zbl 0034.17003 · doi:10.1007/BF02590466 [10] E.Netto, Lehrbuch der Combinatorik. 2. Aufl. 1927. · JFM 53.0073.09 [11] A. Thue, Über die Unlösbarkeit der Gleichungax 2 +bx+c=dy n in großen ganzen Zahlenx undy. Arch. Math. Naturvid.24, 1–6 (1916). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.