Results 21 to 30 of about 350 (60)
Practical numbers and the distribution of divisors
, 2015 An integer $n$ is called practical if every $m\le n$ can be written as a sum of distinct divisors of $n$. We show that the number of practical numbers below $x$ is asymptotic to $c x/\log x$, as conjectured by Margenstern.
Weingartner, Andreas
core +1 more source
Almost all primes have a multiple of small Hamming weight
, 2016 Recent results of Bourgain and Shparlinski imply that for almost all primes $p$ there is a multiple $mp$ that can be written in binary as $mp= 1+2^{m_1}+ \cdots +2^{m_k}, \quad 1\leq m_1 < \cdots < m_k,$ with $k=66$ or $k=16$, respectively. We show that $
Elsholtz, Christian
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Detecting mixedness of qutrit systems using the uncertainty relation
, 2013 We show that the uncertainty relation as expressed in the Robertson-Schrodinger generalized form can be used to detect the mixedness of three-level quantum systems in terms of measureable expectation values of suitably chosen observables when prior ...
A. S. Majumdar +3 more
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On the degrees of polynomial divisors over finite fields
, 2015 We show that the proportion of polynomials of degree $n$ over the finite field with $q$ elements, which have a divisor of every degree below $n$, is given by $c_q n^{-1} + O(n^{-2})$.
Weingartner, Andreas
core +1 more source
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
, 2018 A composite positive integer $n$ has the Lehmer property if $\phi(n)$ divides $n-1,$ where $\phi$ is an Euler totient function. In this note we shall prove that if $n$ has the Lehmer property, then $n\leq 2^{2^{K}}-2^{2^{K-1}}$, where $K$ is the number ...
Burek, Dominik, Żmija, Błażej
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Multiplicative inverses in short intervals
, 2012 We give an alternative proof of a recent result by T.D. Browning and A. Haynes (arXiv:1204.6374v1) on multiplicative inverses in sequences of intervals and improve this result under additional conditions on the spacing of these intervals.Comment: 7 ...
Baier, Stephan
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Genetic population structure of the malaria vector Anopheles baimaii in north-east India using mitochondrial DNA. [PDF]
Malar J, 2012 Sarma DK +11 more
europepmc +1 more source
A Hyperelliptic Smoothness Test, II
, 2002 H. Lenstra, J. Pila, C. Pomerance
semanticscholar +1 more source
A Variance for k‐Free Numbers in Arithmetic Progressions
, 2005 R. Vaughan
semanticscholar +1 more source
Odd perfect numbers, Diophantine equations, and upper bounds
Mathematics of Computation, 2015 Pace P. Nielsen
semanticscholar +1 more source