Zhou's user avatar
Zhou's user avatar
Zhou's user avatar
Zhou
  • Member for 6 years, 10 months
  • Last seen more than a month ago
  • China, Shanghai
17 votes
Accepted

What can one say about $\sum\limits_{i=1}^\infty \frac{1}{p_{i+1}^2-p_i^2}$?

13 votes
Accepted

Searching for a proof for a series identity

9 votes

Find a formula for the recurrent sequence $q_{n+1}=q_n(q_n+1)+1$

8 votes

The unproved formulas of Ramanujan

6 votes

Fair partitioning of a set - Weighted sums of Bernoullis

5 votes

asymptotic for li(x)-Ri(x)

3 votes
Accepted

Asymptotic expansion of the sum $ \sum\limits_{k=1}^{n} \frac{\binom{n+1}{k} B_k}{ 3^k-1 } $

3 votes

Rate of convergence of $\frac{1}{\sqrt{n\ln n}}(\sum_{k=1}^n 1/\sqrt{X_k}-2n)$, $X_i$ i.i.d. uniform on $[0,1]$?

3 votes

Adventure with infinite series, a curiosity

2 votes
Accepted

Residues of Zeta-like Function

2 votes

Generating function related to 2-residues of partitions

2 votes

Evaluation of q-Pochhammer series

2 votes

Inductive proof of $s(n)≤n+1$

1 vote

Fourier transform of a generalized function on the plane

1 vote

Is anything known about this class of series involving the divisor function?

1 vote

Some curious Hankel determinants

1 vote

On the polynomial $\sum_{k=0}^n\binom{n}{k}(-1)^kX^{k(n-k)}$

1 vote

Restricted partition problem into parts with a given set of prime factors

0 votes

Correction terms in the asymptotic expansion of hypergeometric function