Iyengar
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 Jul 27 comment Obtain a contradiction @OldJohn : Its simply a Diophantine equation. I was asked to solve it by a professor. I don't think there will be some motivation behind choosing some equations. For example, why does we need to know $x^n+y^n \neq z^n$ when $n\gt2$ ? . Jul 27 comment Obtain a contradiction @GerryMyerson : I have now added the motivation sir. I beg you to use '@' while posting comments, I didn't see the comment from many weeks, and that's why I didn't edit it so far. Now I have done by your kind suggestion. Thank you for that. Jul 27 revised Obtain a contradiction added something Jul 27 comment Obtain a contradiction @GerryMyerson : There is no motivation sir. My plan was to prove that the equation has no solutions. Jul 27 revised Obtain a contradiction added something Jul 21 comment find valuations These Articles A, B, C and D may be of some use to you. Jul 21 comment What is the sum of sum of digits of $4444^{4444^{4444}}$? Have you seen this ? I think one can use the same thread of idea and extend it recursively to a higher notion. Jul 19 comment Multiple-choice question regarding $\lim\limits_{n \to \infty} \sum\limits_{k = 1}^n \left| e^{\frac{2\pi ik}{n}} − e^{\frac{2\pi i(k-1)}{n}} \right|$ @Ranabir : See the difference between [previous question ]math.stackexchange.com/questions/172305/…) and this one. I noticed a drastic improvement. Good. Jul 18 comment What are possibilities to disprove the Collatz Conjecture? Wont this be of some use for you ? Jul 18 comment Estimating Crime Construct some hypothesis and test the probability of the event . May be these things can be of some use for your hypothesis proving Jul 18 suggested rejected edit on Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ Jul 17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? @GerryMyerson : Oops, Sorry !!. I thought to "ERR IS HUMAN", and just have thought that you have made a typo. I learnt it by using $\dfrac{u_n}{u_n{n+1}}$ . Anyway with my experience I can no way give you any suggestion. My apologies. Jul 17 revised Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? added more details. Jul 17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? I think the first term should sound like $\dfrac{ n^n}{(n+1)^{n}}$ after simplification. Thank you. Can you edit it, or can I have a chance to edit it ? , I was seeking a prior permission . Jul 17 revised Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? added more details. Jul 17 suggested rejected edit on Solving the recurrence $t(n)=(t(n-1))^2 + 1$ Jul 17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? Thank you @vanguard2k for your edit. Jul 17 reviewed Approve Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? Jul 17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? @Ranabir : Did you really understand the step by step simplification, I missed working out many steps. So please do ask me. Jul 17 answered Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge?