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I am teaching myself mathematics ... poorly.


8h
awarded  Necromancer
8h
awarded  Self-Learner
Apr
7
awarded  Benefactor
Apr
7
accepted Proving $\left(\sum_{n=-\infty}^\infty q^{n^2} \right)^2 = \sum_{n=-\infty}^\infty \frac{1}{\cos(n \pi \tau)}$
Apr
5
awarded  Nice Question
Apr
3
awarded  Promoter
Apr
3
revised Proving $\left(\sum_{n=-\infty}^\infty q^{n^2} \right)^2 = \sum_{n=-\infty}^\infty \frac{1}{\cos(n \pi \tau)}$
added 81 characters in body
Apr
1
comment Proving $\left(\sum_{n=-\infty}^\infty q^{n^2} \right)^2 = \sum_{n=-\infty}^\infty \frac{1}{\cos(n \pi \tau)}$
@MPW By convention, $q = e^{\pi i \tau}$ in the study of elliptic functions.
Apr
1
asked Proving $\left(\sum_{n=-\infty}^\infty q^{n^2} \right)^2 = \sum_{n=-\infty}^\infty \frac{1}{\cos(n \pi \tau)}$
Mar
30
awarded  Popular Question
Mar
28
comment “Simple” beautiful math proof
@izœc That is what you get if you solve for $x$ and $y$ in the formula. Complex numbers simply make the process more elegant and intuitive.
Mar
27
awarded  Nice Answer
Mar
27
answered “Simple” beautiful math proof
Mar
26
awarded  Yearling
Mar
25
revised Fibonacci General Formula - Is it obvious that the general term is an integer?
edited body
Mar
24
comment Evaluation of $\Xi(z)=\sum_{t=1}^{\infty}\frac{t^z}{e^t}$
Ragib Zaman pointed this out in his answer.
Mar
22
awarded  Popular Question
Mar
16
answered Sum of $\sum\limits_{n=1}^\infty q^n \sin(nx)$
Mar
16
comment Sum of $\sum\limits_{n=1}^\infty q^n \sin(nx)$
I think the variable names are a bit confused. Do you mean $\sum_{n=1}^\infty q^n \sin(nx)$?
Mar
12
revised Showing that $ { }_2F_1(1, n + 1;n+2; \frac{1}{2}) \in O(2^n)$
added 11 characters in body