On sums of Fibonacci numbers modulo \(p\). (English) Zbl 1238.11011
The authors prove that the set of primes \(p\) such that every residue class modulo \(p\) is a sum of 32 Fibonacci numbers is of relative asymptotic density 1.
Reviewer: Florin Nicolae (Berlin)
MSC:
11B39 | Fibonacci and Lucas numbers and polynomials and generalizations |
11B50 | Sequences (mod \(m\)) |
Keywords:
Fibonacci numbersReferences:
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[5] | DOI: 10.4064/aa119-2-2 · Zbl 1080.11059 · doi:10.4064/aa119-2-2 |
[6] | DOI: 10.1006/jnth.1996.0044 · Zbl 0847.11049 · doi:10.1006/jnth.1996.0044 |
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