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Results tagged with nt.number-theory
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user 500054
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
On successive minima and basis of a lattice
I was thinking about the same question and just ran into this thread. As I was unable to find any source for this answer, I think it might benefit others to provide a construction here.
Consider the 3 …
- 306
3
votes
Accepted
On properties of sums involving the floor function
We first note that $f(n,k)=1-\frac{(2^n+1)\%(2^k+1)}{2^n+1}$. Therefore
$$\sum_{k=1}^{n}\left(1-f(n,k)\right)k^m = \sum_{k=1}^{n-1}\frac{(2^n+1)\%(2^k+1)}{2^n+1}k^m,$$
we can replace the denominators …
- 306