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Oct
15
comment how do i give upper and lower limits to an elliptical integral---
You've probably got to use inequalities cleverly with the sum to obtain the upper bound, I'll try to add later.
Oct
15
answered how do i give upper and lower limits to an elliptical integral---
Oct
15
comment Undergraduate Schools for Mathematics
Note that Oxford and Cambridge require applications in by the $15$th of October.
Oct
14
revised What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to?
added 133 characters in body
Oct
14
comment Geometric interpretation of hyperbolic functions
@Evgeny I agree that it is excellent, but it's all either algebra or Euclidean geometry (I could be an idiot in thinking that hyperbolic geometry has anything to do with hyperbolic functions, Euclidean hyperbolae could be the only geometrical interpretation).
Oct
14
answered What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to?
Oct
14
revised Geometric interpretation of hyperbolic functions
added 63 characters in body
Oct
14
revised Geometric interpretation of hyperbolic functions
added 63 characters in body
Oct
14
asked Geometric interpretation of hyperbolic functions
Oct
1
revised Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
added 109 characters in body
Sep
30
comment Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
@IanMateus you are correct in your interpretation. I'm happy with individual examples, I just wondered whether it was possible to generalise.
Sep
30
revised Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
deleted 63 characters in body
Sep
30
comment Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
No, it's the number-of-divisors function.
Sep
30
revised Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
added 83 characters in body
Sep
30
asked Number of solutions to $\sum_{k=1}^n\sigma_0(a_k)=N$
Sep
28
accepted Find $\int_{0}^{\frac{\pi}{2}} \ln(\sin(x)) \ln( \cos(x))\,\mathrm dx$
Sep
28
comment Evaluating $\int\frac{dr}{r\sqrt{ar^2+br+c}}$, Landau's 'elementary' integral
Thank you! $$ $$
Sep
28
comment Calculating $\frac{\Phi_p(x^n)}{\Phi_p(x)}$ using generating functions or inclusion-exclusion
If link rot occurs, use this math.upenn.edu/~wilf/gfology2.pdf instead, it's still page 63.
Sep
28
accepted Prove that $\sum_{n=1}^\infty \frac{\sigma_a(n)}{n^s}=\zeta(s)\zeta(s-a)$
Sep
28
answered Integer solutions to $6a+5b+4c+3d+2e+f=50$.