Alapan Das's user avatar
Alapan Das's user avatar
Alapan Das's user avatar
Alapan Das
  • Member for 3 years, 11 months
  • Last seen this week
19 votes

Alternative proofs sought after for a certain identity

11 votes

An identity involving polylogarithms

8 votes

An infinite series that converges to $\frac{\sqrt{3}\pi}{24}$

7 votes
Accepted

A constant bizarrely related to the Fibonacci Numbers

6 votes
Accepted

The constant $\pi$ expressed by an infinite series

5 votes

Is it always true that $\sum_{i=1}^{a-1}(-1)^i(a,i)\ge-1$?

4 votes

Twin Primes- Clement conjecture proof

4 votes

How to show simply that $e^{\frac{x}{2}}\int^\infty_0 e^{-t}t^{n-\frac{1}{2}}\cos(2\sqrt{xt})dt=O\big(\frac{n!}{\sqrt{n}}\big)$?

4 votes

Proving a binomial sum identity

4 votes
Accepted

A limit calculation

4 votes

how to numerically evaluate $\int_{0}^{\infty} \frac{1}{x!} dx$

4 votes
Accepted

Second order inhomogeneous PDE

4 votes

Combinatorial identity concerning integral matrices with prescribed row sums and column sums

3 votes
Accepted

Divisibility relation with a specific sum of divisors

3 votes
Accepted

Ask for a reference or a proof of an identity involving a finite sum and the Bernoulli numbers

3 votes

Short sequence beats long sequence

3 votes

Looking for a combinatorial proof for a Catalan identity

3 votes

Problem related to divisibility of even power sum

3 votes

General formulas for derivative of $f_n(x)=\dfrac{ax^n+bx^{n-1}+cx^{n-2}+\cdots}{a'x^n+b'x^{n-1}+c'x^{n-2}+\cdots},\quad a'\neq0$

3 votes

Recurrence for the sum

3 votes

Three circles intersecting at one point

2 votes

Modulo $2$ binomial transform of $m^n$

2 votes

Sequence of $k^2$ and $2k^2$ ordered in ascending order

2 votes

A geometric mean form of the Hermite-Hadamard inequality, for negative powers

2 votes
Accepted

A number theoretical identity of exponential sum

2 votes
Accepted

A special congruence

1 vote
Accepted

Mapping from prime pairs to non prime pairs

1 vote

Approximating by incrementing positive integers

1 vote

Binomial Coefficients sum

1 vote

Showing that the inverse of a function is approximately equivalent to $\frac{1}{n^{1/\alpha}}$