New posts in summation

Closed form of $\sum^{\infty}_{n=1} \dfrac{1}{n^a{(n+1)}^a}$ where $a$ is a positive integer

summation riemann-sum

Evaluating the expression: $\sum\limits_1^n(-1)^{k-1}\frac{n \choose k}{k^2}$

integration summation binomial-coefficients coupon-collector

Is my derivation of the summation formula of the first squares correct?

integration summation

Infinite summation involving exponents

complex-analysis limits summation

Is there a general product formula for $\sum\limits_{k=1}^{n} k^p$ [duplicate]

sequences-and-series algebra-precalculus summation

Proof of a summation of $k^4$

algebra-precalculus summation proof-writing

A different Harmonic series.

number-theory elementary-number-theory summation

Convolution of discrete uniform distributions

probability summation convolution

How to simpify the following equation involving binomial coefficients?

combinatorics binomial-coefficients summation

Prove $\sum_{k = 0}^{n}(-1)^{n - k} \binom{n}{k} \cdot k^n = n!$ and $\sum_{k = 0}^{n}(-1)^{n - k} \binom{n}{k} \cdot k^m = 0$

combinatorics summation binomial-coefficients inclusion-exclusion

How to prove $\sum_{r=0}^{n}\left(-1\right)^r\binom{n}{r}\left(n-r\right)^n=n!$ [duplicate]

summation solution-verification induction factorial

Finding smooth behaviour of infinite sum

sequences-and-series summation taylor-expansion fourier-series electromagnetism

Interpretation of Ramanujan summation of infinite divergent series

summation divergent-series ramanujan-summation

Closed Form for Factorial Sum

discrete-mathematics summation contest-math factorial

How do I prove this combinatorial identity using inclusion and exclusion principle?

combinatorics discrete-mathematics summation binomial-coefficients inclusion-exclusion

Calculate the sum of first $n$ natural numbers taken $k$ at a time

sequences-and-series summation

Evaluating the sum $\sum_{i=1}^n i^2\cdot\lfloor{\frac ni}\rfloor$

number-theory summation computational-complexity divisor-sum

How prove this limit

sequences-and-series limits summation

How prove this limit $\lim_{n\to\infty}\frac{1}{n}\sum_{i=1}^{n}\sum_{j=1}^{n}\frac{i+j}{i^2+j^2}=\frac{\pi}{2}+\ln{2}$

real-analysis limits definite-integrals summation riemann-sum

The ratio of their $n$-th term.

summation arithmetic-progressions