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Nemo's user avatar
Nemo's user avatar
Nemo
  • Member for 9 years, 1 month
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40 votes

What are fixed points of the Fourier Transform

36 votes
Accepted

Sum of Gaussian pdfs

31 votes

An analogue of the exponential function by replacing infinite series with improper integral

25 votes

Bernoulli sum meets golden number

24 votes

Is there a transformation or a proof for these integrals?

21 votes

The specificity of dimension $1+3$ for the real world

18 votes
Accepted

A mystery sequence

17 votes

Real rootedness of a polynomial

17 votes

Interesting integral

14 votes
Accepted

A combinatorial identity involving generalized harmonic numbers

13 votes

Ramanujan's Lost Notebook page 1 first equation and OEIS sequence A260195

13 votes
Accepted

Yet another real-rooted polynomial

12 votes
Accepted

Is it true that $\sum_{k=1}^\infty\frac{\binom{2k}k^2}{k16^k}(H_{2k}-H_k)=\frac23\sum_{k=1}^\infty\frac{\binom{2k}k^2H_{2k}}{(2k+1)16^k}$?

12 votes
Accepted

A limit involving the quotient of two sums

11 votes

"sinc-ing" integral

10 votes

Identity with Pochhammer and harmonic numbers

10 votes
Accepted

generating $q$-Catalan numbers

10 votes
Accepted

A real-valued analogue of the Weierstrass $\wp$ Function

8 votes
Accepted

Partition numbers and Gaussian binomial coefficient

8 votes
Accepted

An infinite series involving the mod-parity of Euler's totient function

8 votes

Irrationality of generalized continued fractions

7 votes
Accepted

Identity involving an improper integral (with geometric application)

7 votes
Accepted

Number theoretic interpretation of the integral $\int_{-\infty}^\infty\frac{dx}{\left(e^x+e^{-x}+e^{ix\sqrt{3}}\right)^2}=\frac{1}{3}$?

7 votes
Accepted

Integral of power of binomials equal to sum of power of binomials?

7 votes
Accepted

An integer sequence related to Pascal’s triangle

6 votes

3 divides coefficents of this $q$-series

6 votes

What can be said about this double sum?

6 votes

Double series problems

6 votes
Accepted

$\sum_{k =1, k \neq j}^{N-1} \csc^2\left(\pi \frac{k}{N} \right)\csc^2\left(\pi \frac{j-k}{N} \right)=?$

6 votes

Hypergeometric function evaluation 4F3