What is the origin for the name "partition function" given to $Z = \sum e^{-\beta E_i}$?
64547
Why is the partition function called ''partition function''?
105406
Proof of Stirling's Formula using Trapezoid rule and Wallis Product
98808
Finite Sum $\sum_{i=1}^n\frac i {2^i}$
63474
Showing $\sum_{i = 1}^n\frac1{i(i+1)} = 1-\frac1{n+1}$ without induction?
29524
Formula for the sum $\sum_{i=2}^{n} \frac1{i^2-1}$
35454
Is it correct to write $\Bbb E[X]$ or $\Bbb E_{\theta}[X]$?
135380
Show that $\sum_{n=1}^\infty \frac{n^2}{(n+1)!}=e-1$
85786
Generating functions of partition numbers
82391
Why does $\sum_{k=1}^{\infty}\frac{{\sin(k)}}{k}={\frac{\pi-1}{2}}$?
28254
Why $\sum_{k=1}^{\infty} \frac{k}{2^k} = 2$?
13111
What does this $\asymp$ symbol mean? (subject: analytic number theory)
58286
Why does the $\sum_{n>1}(\zeta(n)-1)=1?$
122678
Find the probability generating function of $Z=\sum_{i=1}^{N}X_i.$
86567
Understanding $\sum_{x = 0}^y x = \frac{y(y + 1)}{2}$ in a step of a proof
44928
Show $\sum_n \frac{z^{2^n}}{1-z^{2^{n+1}}} = \frac{z}{1-z}$
138331
questions about Rudin's summation by parts
146248
What did Johann Bernoulli wrong in his proof of $\ln z=\ln (-z)$?