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MathGod
  • Member for 10 years, 6 months
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18 votes
5 answers
1k views

Splitting $r^k (r+n)!$ as a sum of factorials

16 votes
2 answers
870 views

Evaluate $ \int_{0}^{1} \log\left(\frac{x^2-2x-4}{x^2+2x-4}\right) \frac{\mathrm{d}x}{\sqrt{1-x^2}} $

15 votes
1 answer
563 views

Can a sequence of finitely many elementary operations/algorithm give a specific closed form for a recurrence relation?

14 votes
2 answers
558 views

Generalized Harmonic Number Summation $ \sum_{n=1}^{\infty} {2^{-n}}{(H_{n}^{(2)})^2}$

11 votes
1 answer
603 views

Integral $ \int_{0}^{\infty} \ln x\left[\ln \left( \frac{x+1}{2} \right) - \frac{1}{x+1} - \psi \left( \frac{x+1}{2} \right) \right] \mathrm{d}x $

11 votes
3 answers
555 views

Is the following Harmonic Number Identity true?

11 votes
4 answers
6k views

Solve $2000x^6+100x^5+10x^3+x-2=0$

9 votes
4 answers
5k views

Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$

8 votes
3 answers
361 views

Solve $\lfloor{x}\rfloor+\lfloor2x\rfloor+\lfloor4x\rfloor+\lfloor16x\rfloor+\lfloor32x\rfloor=12345$

6 votes
1 answer
548 views

How to show that $\lfloor n/1\rfloor+\lfloor n/2 \rfloor+....+\lfloor n/n\rfloor+\lfloor{\sqrt{n}}\rfloor$ is even?

5 votes
3 answers
328 views

Error in finding sum of $1\cdot 2+3\cdot 4+ \cdots \text{to}\space n\space \text{terms}$

4 votes
1 answer
281 views

Game of polynomials

4 votes
3 answers
180 views

Comment upon nature of the roots

4 votes
1 answer
311 views

How to prove that $a=z^{p}$ for some $z \in \mathbb{Z_{+}}$?

3 votes
2 answers
128 views

Find the value of $\left | b-c \right |$

3 votes
3 answers
226 views

Find number of integral solutions of $\sqrt{n}+\sqrt{n+7259}$

3 votes
2 answers
143 views

Find max. and min. value of 'r'

2 votes
4 answers
234 views

Find number of solutions of $2^x$+$3^x$+$4^x$=$5^x$

2 votes
3 answers
416 views

Find number of positive integral solutions of

2 votes
2 answers
461 views

Find number of triplets

2 votes
2 answers
190 views

Solve $\left(x^{2010}+1\right)\left(1+x^2+x^4+x^6+.......+x^{2008}\right)=2010x^{2009}$

2 votes
2 answers
143 views

Find value of $r$ and the limit

2 votes
3 answers
117 views

Find the required digit

2 votes
1 answer
58 views

Finding functions satisfying modular identity similar to Euler's Theorem

1 vote
1 answer
89 views

A mathematical paper of Edouard Lucas

1 vote
2 answers
173 views

A mathematical paper from 1657

1 vote
0 answers
73 views

J.E. Hoffman's paper on Fermat's work

1 vote
1 answer
717 views

Find $g(x)$ if $f(g(x))=f(x)g(x)$ and $g(2)$=37, $f(x)$ and $g(x)$ are polynomials

1 vote
1 answer
255 views

L.C.M. and H.C.F. problem

1 vote
2 answers
436 views

Prove quotient is a perfect square [duplicate]