The Pell equation, by Edward Everett Whitford.

136

THE PELL EQUATION

to
A = 1,500.
P. BACHMAN, "Zahlentheorie," vol. II, p. 92, Leipzig,
1894.
G. DE LONGCHAMPS, "Sur certaines generalisations de
l'equation de Pell," Journal de mathematiques elementaires, vol. XVIII, p. 5, Paris, 1894.
The author discusses the equation
Mx2 = Ay2 + Bz2 +... + Kt2
where
M=A+B +C+.. +K
admits an infinity of solutions, also the equations
x2 - xy + y2 = 2
and
2 = y2 + p2.
E. MAILLET, "Notes on a generalized Pell equation,"
Association frangaise pour l'avancement des sciences,
comptes rendus des congres, p. 233, Paris, 1895.
E. BORTOLOTTI, "Sulla frazioni continue algebriche
periodiche," Rendiconti del Circolo Matematico di
Palermo, vol. IX, p. 136, Palermo, 1895.
The author discusses the periodicity which exists only
under the necessary and sufficient condition that the
Pell equation
x2 - Ay2 = 1
in integral polynomials x, y, is solvable.
G. SPECKMAN, " Fundamentalaufilsungen der Pell'schen Gleichung," Archiv der Mathematik und Physik,
vol. XIII (2), p. 327, Leipzig, 1895.
G. SPECKMAN, "Uber die Auflisung der Pell'schen
Gleichung," Archiv der Mathematik und Physik, vol.
XIII (2), p. 330, Leipzig, 1895.
A great number of the solutions of the Pell equation