17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová
From MaRDI portal
Publication:5957131
zbMath1010.11002MaRDI QIDQ5957131
Florian Luca, Michal Křížek, Lawrence Somer
Publication date: 6 March 2002
Published in: CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC (Search for Journal in Brave)
primalitychiral Potts modelFermat number transformFermat numbersMersenne numbersminimal perfect hashing schemespseudorandom number generators
Congruences; primitive roots; residue systems (11A07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Factorization; primality (11A51)
Related Items (28)
On Fermat and Mersenne numbers expressible as product of two \(k\)-Fibonacci numbers ⋮ Cunningham numbers in modular arithmetic ⋮ Some properties of the factors of Fermat numbers ⋮ Finding special factors of values of polynomials at integer points ⋮ Coincidence between \(k\)-Fibonacci numbers and products of two Fermat numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A common approach to three open problems in number theory ⋮ A role for generalized Fermat numbers ⋮ On the symmetric digraphs from powers modulo \(n\) ⋮ The structure of power digraph connected with the congruence a¹¹ ≡ b(mod n) ⋮ An algorithm to construct arithmetic Fuchsian groups derived from quaternion algebras and the corresponding hyperbolic lattices. ⋮ Unnamed Item ⋮ A novel approach for computation of morphological operations using the number theoretic transform ⋮ Unnamed Item ⋮ On digital sequences associated with Pascal's triangle ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The structure of isomorphic digraph from powers modulo \(p^e\) ⋮ Unnamed Item ⋮ Some digraphs arising from number theory and remarks on the zero-divisor graph of the ring \(Z_n\) ⋮ Prime simplicity ⋮ The Vojta conjecture implies Galois rigidity in dynamical families ⋮ Structure of digraphs associated with quadratic congruences with composite moduli ⋮ An 𝑂̃(log²(𝑁)) time primality test for generalized Cullen numbers ⋮ On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\) ⋮ ON INVERSES AND EIGENPAIRS OF PERIODIC TRIDIAGONAL TOEPLITZ MATRICES WITH PERTURBED CORNERS ⋮ On the convergence of series of reciprocals of primes related to the Fermat numbers
This page was built for publication: 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová