2
votes
2answers
11 views

Vertex Cover - Understanding the bounds

I was reading on wikipedia about the approximations of the Vertex Cover problem and saw that an approximation algorithm with an approximation factor of $\displaystyle 2 - \Theta \left( ...
0
votes
0answers
83 views

Rapidly convergent series for $\sum_{J=0}^{\infty} (2 J + 1) e^{-\beta J(J+1)}$ (rigid rotor)

I need to evaluate this series for arbitrary $\beta > 0$: $ Q = \sum_{J=0}^{\infty} (2 J + 1) e^{-\beta J(J+1)} $ Is it related to a known transcendental function? From the research I did, it ...