Number Theory » Analytic N.T.

Euler-Mascheroni constant ★★★

Author(s):

Question   Is Euler-Mascheroni constant an transcendental number?

Keywords: constant; Euler; irrational; Mascheroni; rational; transcendental

Posted by Juggernaut
updated January 21st, 2013
1 comment
Geometry

Covering a square with unit squares ★★

Author(s):

Conjecture   For any integer $ n \geq 1 $, it is impossible to cover a square of side greater than $ n $ with $ n^2+1 $ unit squares.

Keywords:

Posted by Martin Erickson
updated August 1st, 2011
10 comments
Graph Theory

Covering powers of cycles with equivalence subgraphs ★

Author(s):

Conjecture   Given $ k $ and $ n $, the graph $ C_{n}^k $ has equivalence covering number $ \Omega(k) $.

Keywords:

Posted by Andrew King
updated July 7th, 2011
add new comment