ON MARKOFF–HURWITZ EQUATIONS OVER RESIDUE CLASS RINGS

DOI10.1142/S1793042113501029zbMath1303.11042MaRDI QIDQ5408815

Ioulia N. Baoulina

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

congruences in many variablesMarkoff-Hurwitz equationPoincaré series, Q-conjecture

Mathematics Subject Classification ID

Congruences in many variables (11D79) Varieties over finite and local fields (11G25)

Related Items (1)

Generalizations of the Markoff–Hurwitz equations over residue class rings

Cites Work

• The rationality of the Poincaré series associated to the p-adic points on a variety
• The Markoff equation \(X^ 2+Y^ 2+Z^ 2=aXYZ\) over quadratic imaginary fields
• Numbers of solutions of congruences: Poincaré series for algebraic curves
• Generalizations of the Markoff-Hurwitz equations over finite fields
• The Markoff-Hurwitz equations over number fields
• Certain special equations in a finite field
• Rings of arithmetic functions. II. The number of solutions of quadratic congruences
• Quadratic and linear congruence

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