Florian Luca
Geometry and Topology · 2000–2021
A researcher in the Science corpus: 12 papers; trusts 6 researchers and is trusted by 4 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 12 citations into it; #4,991 of 7,422 by trust here, #5,008 by citations
- Algebra and Number Theory — 11 citations into it
- Statistical and Nonlinear Physics — 10 citations into it; #6,347 of 10,127 by trust here, #8,564 by citations
Whom Florian Luca trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Florian Luca overall
Papers from Florian Luca's perspective
Ordered by how strongly the researchers Florian Luca trusts endorse each paper. Same corpus, a different order for every researcher.
- Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?)
- Fibonacci and Lucas Numbers with Applications
- On The Diophantine equation Fn+Fm=2a
- On a conjecture about repdigits in k-generalized Fibonacci sequences
- Ternary Diophantine Equations via Galois Representations and Modular Forms (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
- Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation (Compositio Mathematica)
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (Journal of The American Mathematical Society)
- The Magma Algebra System I: The User Language
- The Diophantine equation f(x) = g(y)
- On the number of solutions of the generalized Ramanujan-Nagell equation
Their papers
- On The Diophantine equation Fn+Fm=2a (2016) — 49 citations
- k-generalized Fibonacci numbers which are concatenations of two repdigits (2021) — 51 citations
- Pell and Pell-Lucas numbers with only one distinct digit (2015) — 49 citations
- Powers of two as sums of two k-Fibonacci numbers (2014) — 108 citations
- Linear combinations of factorials and $$S$$S-units in a binary recurrence sequence (2014) — 177 citations
- On a conjecture about repdigits in k-generalized Fibonacci sequences (2013) — 128 citations
- Powers of Two in Generalized Fibonacci Sequences (2012) — 96 citations
- Pseudoprime reductions of elliptic curves (2009) — 54 citations
- Generalized balancing numbers (2009) — 79 citations
- Fibonacci numbers at most one away from a perfect power (2008) — 63 citations
- On the equation x2+2a⋅3b=yn (2002) — 156 citations
- Fibonacci and Lucas numbers with only one distinct digit. (2000) — 117 citations