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# Tag Archives: Sums

## On the dubious function

The *dubious function * is defined as follows : and

Evaluate the sum

## Double summation

Evaluate

**Solution**

*Coming soon!*

## Arithmotheoretic sum

Evaluate the limit:

**Solution**

However,

Hence

## Double binomial sum

Evaluate the double sum

**Solution**

We sum diagonally , hence:

(1): For it holds .

(2): .

**Conjecture:** Does the following equality

hold?

## A double factorial sum

Prove that

**Solution**

We note that