Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with nt.number-theory
Search options not deleted
user 9712
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
3
votes
1
answer
508
views
Sequences satisfying gcd(S(x), S(y)) = S(gcd(x,y))
Consider the sequence S(x) = 2^x - 1. This sequence has two interesting properties:
a) If the GCD of S(x) and S(y) is S(gcd(x,y)), and
b) For any prime p, S(p-1) is divisible by p.
Property a follo …
- 435
0
votes
1
answer
830
views
Numbers whose powers approach integers [closed]
Let d(x) denote the distance from x to the nearest integer.
Are there any non-integral numbers X for which the sequence d(X), d(X^2), d(X^3), etc. converges to 0?
EDIT: Sorry, I forgot to exclude th …
- 435
22
votes
2
answers
2k
views
Have all numbers with "sufficiently many zeros" been proven transcendental?
Any number less than 1 can be expressed in base g as $\sum _{k=1}^\infty {\frac {D_k}{g^k}}$, where $D_k$ is the value of the $k^{th}$ digit. If we were interested in only the non-zero digits of this …
- 435