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Results tagged with nt.number-theory
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user 56571
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
11
votes
1
answer
692
views
Existence of range of numbers containing a coprime to given n
I suspect the following statement is true and I can use it in my work if it is true. However I am not a number theorist and I could not prove it myself. I was wondering if this is known to number theo …
- 858
4
votes
1
answer
114
views
Smallest size of integral vector with certain inner product
Let $v =(r,s,t) \in \mathbb{N}^3$ be a vector such that $\gcd(r,s,t)=1$. We know that there are vectors $x= (x_1,x_2,x_3) \in \mathbb{Z}^3 $ such that $v.x =1$. For each $v$, let $O(v)$ be the smalles …
- 858
7
votes
1
answer
338
views
lower bound for Perron-Frobenius degree of a Perron number
A Perron number is an algebraic number which is greater than one in absolute value and is greater than all of its Galois conjugates in absolute value as well. Lind's theorem states that any Perron num …
- 858