Theorie des Fonctions Numeriques Simplement Periodiques

1878/01/01 by Edouard Lucas, Édouard Lucas · 465 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #History and Theory of Mathematics #Mathematics #Numerical methods for differential equations

paper · doi:10.2307/2369308

published in American Journal of Mathematics 1(2), 184 (Johns Hopkins University Press)

openalex publication_date 1878/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

Cited by

• The p -adic Valuation of Lucas Sequences When p Is a Special Prime
• Classifying strong linear division sequences
• Class number in constant extensions of elliptic function fields
• The p -Adic Valuation of Lucas Sequences
• A cubic analogue of the RSA cryptosystem
• A combinatorial development of Fibonacci numbers in graph spectra
• On Dirichlet Products Evaluated at Fibonacci Numbers
• Characterization of the strong divisibility property for generalized Fibonacci polynomials
• On the complexities of some simple modules of symmetric groups
• Multivariable Lucas Polynomials and Lucanomials
• Quadratic forms representing the p-th Fibonacci number
• Generalized Fibonacci polynomials and Fibonomial coefficients
• F-thresholds and test ideals of Thom-Sebastiani type polynomials
• A quantum algorithm for computing the Carmichael function
• A proof of two conjectures on APN functions
• Turán numbers of sunflowers
• F-purity versus log canonicity for polynomials
• On k-PN Functions over Finite Fields
• Determinant of \mathbb F_p-hypergeometric solutions under ample reduction
• Notes on solutions of KZ equations modulo p^s and p-adic limit s→∞
• Generalized Artin Primitive Root Conjecture
• Groebner basis and the Anick resolution for U_K(sl₃⁺)
• Index Divisibility in Dynamical Sequences and Cyclic Orbits Modulo p
• On the determinant of representations of generalized symmetric groups
• π-formulas and Gray code
• On the ring of unipotent vector bundles on elliptic curves in positive characteristics
• Lucas pseudoprimes
• Factorization of the tenth Fermat number
• New primality criteria and factorizations of 2^𝑚±1
• Existence of primitive divisors of Lucas and Lehmer numbers
• Factoring bivariate lacunary polynomials without heights
• Elliptic Solutions of Dynamical Lucas Sequences. [europepmc]