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Results tagged with nt.number-theory
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user 476460
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
1
answer
277
views
Rough numbers in short interval
A positive integer $n$ is called $k$-rough if all of the prime factors of $n$ strictly exceed $k$.
For $k$ fixed and $n$ large, what's the shortest interval $[n,n+t]$ that contains a $k$-rough number …
- 43
0
votes
0
answers
135
views
An estimate of a sum
I'm looking for an estimate of this sum $\sum_{n\leq x} \frac{\mu^2(n)}{\varphi(n)}$ where $\mu$ is the Möbius function and $\varphi$ the Euler's totient function.
Thanks a lot.
- 43