Propriétés q-multiplicatives de la suite , c > 1
Propriétés topologiques et combinatoires des échelles de numération
Topological and combinatorial properties of dynamical systems called odometers and arising from number systems are investigated. First, a topological classification is obtained. Then a rooted tree describing the carries in the addition of 1 is introduced and extensively studied. It yields a description of points of discontinuity and a notion of low scale, which is helpful in producing examples of what the dynamics of an odometer can look like. Density of the orbits is also discussed.
Pruebas determinísticas de primalidad.
Prvočísla obsahují libovolně dlouhé aritmetické posloupnosti
Przestępność liczb e i π
Pseudo-elliptic integrals and the values of the Weierstrass -function at torsion points.
Pseudo-Mesures p-adiques associées aux fonctions L de ...
Pseudoprime Cullen and Woodall numbers
We show that if a > 1 is any fixed integer, then for a sufficiently large x>1, the nth Cullen number Cₙ = n2ⁿ +1 is a base a pseudoprime only for at most O(x log log x/log x) positive integers n ≤ x. This complements a result of E. Heppner which asserts that Cₙ is prime for at most O(x/log x) of positive integers n ≤ x. We also prove a similar result concerning the pseudoprimality to base a of the Woodall numbers given by Wₙ = n2ⁿ - 1 for all n ≥ 1.
Pseudoprimes and a generalization of Artin's conjecture
Pseudoprvočísla
Pseudorandom binary sequences and lattices
Pseudorandom sequences of binary vectors
PSL septimic fields with a power basis
We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group .
p-Torsion in Elliptic Curves over Subfields of Q (...).
Publication list: J. G. van der Corput
Publications of Loo-keng Hua
Publications of Wacław Sierpiński in the theory of numbers
Puissances binomiales dans un corps cubique [Book]
Pure and mixed exponential sums
Pure fields of degree 9 with class number prime to 3
The main theorem gives necessary conditions and sufficient conditions for to have class number prime to 3. These conditions involve only the rational prime factorization of and congruences mod 27 of the prime factors of . They give necessary and sufficient conditions for most .