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Florian Luca

Researcher Next ID · RN-043022

Researcher · Mathematics

Stellenbosch University

Stellenbosch, South Africa

Accepting doctoral researchersFunding unknown
Works count
953
Citation count
5,283
H-index
28
i10-index
168

Research interests

Mathematics
Physics and Astronomy
Analytic Number Theory Research
Advanced Mathematical Identities
Advanced Mathematical Theories and Applications
Algebraic Geometry and Number Theory
Advanced Combinatorial Mathematics

Publications

  • Powers of two as sums of two k-Fibonacci numbers

    Miskolc mathematical notes/Mathematical notes · 2016 · 10.18514/mmn.2016.1505

  • Linear combinations of factorials and $$S$$ S -units in a binary recurrence sequence

    Annales mathématiques du Québec · 2014 · 10.1007/s40316-014-0025-z

  • On a conjecture about repdigits in k-generalized Fibonacci sequences

    Publicationes Mathematicae Debrecen · 2013 · 10.5486/pmd.2013.5390

  • Powers of Two in Generalized Fibonacci Sequences

    LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2012

  • Analytic Number Theory: Exploring the Anatomy of Integers

    Journal · 2012

  • Generalized balancing numbers

    Indagationes Mathematicae · 2009 · 10.1016/s0019-3577(09)80005-0

  • Fibonacci numbers at most one away from a perfect power

    Elemente der Mathematik · 2008 · 10.4171/em/89

  • Sur la complexité des nombres algébriques

    Comptes Rendus Mathématique · 2004 · 10.1016/j.crma.2004.04.012

  • 17 lectures on Fermat numbers : from number theory to geometry

    Journal · 2001 · 10.1007/978-0-387-21850-2

  • Fibonacci and Lucas numbers with only one distinct digit.

    Portugaliae Mathematica · 2000

Current projects

    No projects listed.