Application of the p-Adic Topology on ℤ to the Problem of Finding Solutions in Integers of an Implicit Linear Difference Equation.
In: Journal of Mathematical Sciences, Jg. 235 (2018-12-01), Heft 3, S. 256-261
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Zugriff:
We study solutions in integers of an implicit linear inhomogeneous first order difference equation bx n+1 = ax n + f n . Based on the p-adic topology on the ring of integers, we obtain a criterion for the existence of solutions and show that for a = 1 a typical (in the natural topological sense) equation has no integer solutions. [ABSTRACT FROM AUTHOR]
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Titel: |
Application of the p-Adic Topology on ℤ to the Problem of Finding Solutions in Integers of an Implicit Linear Difference Equation.
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Autor/in / Beteiligte Person: | Gerasimov, V. A. ; Gefter, S. L. ; Goncharuk, A. B. |
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Zeitschrift: | Journal of Mathematical Sciences, Jg. 235 (2018-12-01), Heft 3, S. 256-261 |
Veröffentlichung: | 2018 |
Medientyp: | academicJournal |
ISSN: | 1072-3374 (print) |
DOI: | 10.1007/s10958-018-4072-x |
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