Bibliographic Details
| Title: |
On rational numbers with nonterminating p-adic continued fraction expansion. |
| Authors: |
PEJKOVIĆ, Tomislav1 |
| Source: |
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Apr2026, Vol. 102 Issue 4, p17-23. 7p. |
| Subjects: |
Continued fractions, Rational numbers, Number theory, Prime numbers, Number systems |
| Abstract: |
We determine all pairs (p, n), where p is a prime and n a positive integer, such that there exists a reduced fraction u/v > 1 with u + v = n and u/v has a nonterminating Schneider's p-adic continued fraction expansion. We also prove a bound on the length of the preperiod in the p-adic continued fraction of u/v when max{|u|, |v|} < p. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
