- The p -adic Valuation of Lucas Sequences When p Is a Special Prime
2019/08/01 by Christian Ballot · 1 citation
Mathematics · #Combinatorics #Economics #Finance #Lucas sequence #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Mathematics #Prime (order theory) #Prime number #Valuation (finance) #advanced mathematical theories
- The p -Adic Valuation of Lucas Sequences
2016/05/01 by Carlo Sanna · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Combinatorics #Economics #Fibonacci number #Fibonacci polynomials #Lucas number #Lucas sequence #Mathematical Dynamics and Fractals #Mathematical economics #Mathematics #Valuation (finance) #advanced mathematical theories
- A Graph-Theoretic Encoding of Lucas Sequences
2015/08/01 by James Alexander, Paul Hearding · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Artificial intelligence #Combinatorics #Computer science #Encoding (memory) #Fibonacci number #Fibonacci polynomials #Graph #Lucas number #Lucas sequence #Mathematics #Theoretical computer science
- Existence of primitive divisors of Lucas and Lehmer numbers
2001/01/20 by Yonatan Bilu, Guillaume Hanrot, Paul Voutier · 2 citations
Mathematics · Physics and Astronomy · #Analytic Number Theory Research #Advanced Mathematical Theories and Applications #Advanced Mathematical Identities #Lucas sequence #Mathematics #Lucas number #Arithmetic #Pure mathematics #Combinatorics #Fibonacci number #Fibonacci polynomials
- The Square Terms in Lucas Sequences
1996/05/01 by Paulo Ribenboim, Wayne L. McDaniel · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Biology #Combinatorics #Fibonacci number #Fibonacci polynomials #Geometry #Lucas number #Lucas sequence #Mathematics #Prime (order theory) #Sequence (biology) #Square (algebra)
- Efficient computation of full Lucas sequences
1996/03/14 by Marc Jóye, J.-J. Quisquater · 1 citation
Computer Science · Mathematics · #Cryptography and Residue Arithmetic #Coding theory and cryptography #Digital Image Processing Techniques #Lucas sequence #Sequence (biology) #Computation #Algorithm #Lucas number #Type (biology) #Mathematics #Digital signature #Computer science #Combinatorics #Fibonacci number #Fibonacci polynomials
- The Order of the Fibonacci and Lucas Numbers
1995/06/01 by T. Lengyel, Tamás Lengyel · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics #Economics #Fibonacci number #Fibonacci polynomials #Lucas number #Lucas sequence #Mathematics #Mathematics and Applications #Order (exchange) #Pisano period
- The set of primes dividing the Lucas numbers has density 2∕3
1985/06/01 by Jeffrey C. Lagarias · 1 citation
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Advanced Mathematical Identities #Mathematics #Lucas number #Lucas sequence #Set (abstract data type) #Arithmetic #Combinatorics #Discrete mathematics #Fibonacci number #Computer science #Fibonacci polynomials