On Ternary Integral Recurrences
Bulletin of the Polish Academy of Sciences. Mathematics (2015)
- Volume: 63, Issue: 1, page 19-23
- ISSN: 0239-7269
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topA. Schinzel. "On Ternary Integral Recurrences." Bulletin of the Polish Academy of Sciences. Mathematics 63.1 (2015): 19-23. <http://eudml.org/doc/286153>.
@article{A2015,
abstract = {We prove that if a,b,c,d,e,m are integers, m > 0 and (m,ac) = 1, then there exist infinitely many positive integers n such that m|(an+b)cⁿ - deⁿ. Hence we derive a similar conclusion for ternary integral recurrences.},
author = {A. Schinzel},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {ternary recurrence; p-adic logarithm},
language = {eng},
number = {1},
pages = {19-23},
title = {On Ternary Integral Recurrences},
url = {http://eudml.org/doc/286153},
volume = {63},
year = {2015},
}
TY - JOUR
AU - A. Schinzel
TI - On Ternary Integral Recurrences
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 1
SP - 19
EP - 23
AB - We prove that if a,b,c,d,e,m are integers, m > 0 and (m,ac) = 1, then there exist infinitely many positive integers n such that m|(an+b)cⁿ - deⁿ. Hence we derive a similar conclusion for ternary integral recurrences.
LA - eng
KW - ternary recurrence; p-adic logarithm
UR - http://eudml.org/doc/286153
ER -
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