Generalizations of the Markoff–Hurwitz equations over residue class rings
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Publication:5248584
DOI10.1142/S1793042115500505zbMath1379.11031MaRDI QIDQ5248584
Publication date: 8 May 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Gauss sumPoincaré seriescongruences in many variablesDirichlet character\(Q\)-conjecturegeneralized Markoff-Hurwitz equation
Other character sums and Gauss sums (11T24) Congruences in many variables (11D79) Varieties over finite and local fields (11G25)
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
- Kloosterman sums for prime powers in \(p\)-adic fields
- Numbers of solutions of congruences: Poincaré series for algebraic curves
- Numbers of solutions of congruences and rationality of generating functions
- 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
- ON MARKOFF–HURWITZ EQUATIONS OVER RESIDUE CLASS RINGS
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