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On Types of Elliptic Pseudoprimes [PDF]
We generalize the notions of elliptic pseudoprimes and elliptic Carmichael numbers introduced by Silverman to analogues of Euler-Jacobi and strong pseudoprimes.
L. Babinkostova +2 more
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Squarefree Integers in Arithmetic Progressions to Smooth Moduli
Let $\varepsilon> 0$ be sufficiently small and let $0 < \eta < 1/522$ . We show that if X is large enough in terms of $\varepsilon $ , then for any squarefree integer $q \leq X^{196/261-\varepsilon }$ that is $X^{\eta ...
Alexander P. Mangerel
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Background – Dilute sodium hypochlorite (bleach) baths at 0.005% concentration twice weekly have been shown to markedly reduce the severity of atopic dermatitis in children, yet no tolerability and efficacy data are available for this treatment in dogs.
Frane Banovic +4 more
wiley +1 more source
AN AVERAGE THEOREM FOR TUPLES OF k‐FREE NUMBERS IN ARITHMETIC PROGRESSIONS
Abstract In the spirit of the Hooley–Montgomery refinement of the Barban–Davenport‐Halberstam theorem, we obtain an asymptotic formula for the variance associated with tuples of k‐free numbers in arithmetic progressions.
Tomos Parry
wiley +1 more source
11 páginas.-- 2010 Mathematics subject classification: Primary 11N25; Secondary 11B39.A Lehmer number is a composite positive integer n such that ϕ(n)|n − 1.
Cilleruelo, Javier +3 more
core +1 more source
SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS
Let ${\it\lambda}$ and ${\it\mu}$ denote the Liouville and
KAISA MATOMÄKI +2 more
doaj +1 more source

