To study the properties of the Fibonacci sequence
Research gap analysis derived from 4 mathematics papers in our local library.
The gap
To study the properties of the Fibonacci sequence in other contexts. To study the distribution of prime numbers using the result. To study the properties of other sequences modulo 24.
Evidence profile
Sourced from the future-work section and stated research gap of the source papers, classified as general, drawn from work published between 1960 and 2026, spanning 4 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 4 representative gaps
- Quadratic approximation of generalized Tribonacci sequences (2018) · Discussiones Mathematicae - General Algebra and Applications · doi
Further study of the generalized Tribonacci sequence is needed. The results can be applied to the study of other recursive sequences. The derivation of new sequences using the results is a potential area of research.
generalfuture-work sectionKeywords: further study generalized tribonacci sequence needed results applied - Generalized Fibonacci Numbers and Associated Matrices (1960) · American Mathematical Monthly · doi
The paper identifies a gap in the study of generalized Fibonacci numbers and their associated matrices. The authors note that the properties of these numbers and matrices are not well understood.
generalstated research gapKeywords: paper identifies gap study generalized fibonacci numbers associated - A Pair of Diophantine Equations and Fibonacci-Like Sequences (2026) · The Fibonacci Quarterly · doi
Future research can focus on generalizing the results to more general sequences. Future research can focus on applying the results to various fields. Future research can focus on studying the properties of Fibonacci-like sequences.
generalfuture-work sectionevidence 5/5Keywords: future research focus generalizing results general sequences applying - Fibonacci Numbers Modulo 24 and the Heegner Discriminant Classes: An Equidistribution Theorem and a Prime-Index Density (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi
To study the properties of the Fibonacci sequence in other contexts. To study the distribution of prime numbers using the result. To study the properties of other sequences modulo 24.
generalfuture-work sectionevidence 5/5Keywords: study properties fibonacci sequence other contexts distribution prime
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