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Generalizations of the Markoff-Hurwitz equations over residue class rings.

Authors :
Baoulina, Ioulia N.
Source :
International Journal of Number Theory. May2015, Vol. 11 Issue 3, p909-930. 22p.
Publication Year :
2015

Abstract

In this paper, we use evaluations of Gauss sums modulo pk to derive expressions that allow us for a given generalized Markoff-Hurwitz equation to determine the number of its solutions over ℤ/pkℤ if the number of solutions over ℤ/pℤ is known. We also calculate the corresponding Poincaré series. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GENERALIZATION
*HURWITZ polynomials
*NUMERICAL solutions to differential equations
*RING theory
*SET theory

Details

Language :
English
ISSN :
17930421
Volume :
11
Issue :
3
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
101830534
Full Text :
https://doi.org/10.1142/S1793042115500505
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