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Numerical algorithms for problems in analysis and algebra, scientific computation

5 votes
Accepted

Unknown bias in a distribution related to prime numbers

The number of totient divisors of $n$ is $d(n-1)-d((n-1, \varphi(n))$. As $n$ gets large, then almost all $n$ have the property that $\varphi(n)$ is divisble by all small primes. The average number of …
Jan-Christoph Schlage-Puchta's user avatar
3 votes
Accepted

An algebraic equation question

This is not possible. Suppose e.g. that $e^\beta=2$. Then we have $p+1=2(m+1)$, i.e. $\frac{p}{m}=2+\frac{1}{m}$. Hence $\frac{p}{m}$ can attain any real number $>2$, depending on what $m$ is. In gene …
Jan-Christoph Schlage-Puchta's user avatar