# Tagged Questions

964 views

### Is this already an equation/law that has been found?

So I was messing around with some numbers today and I have found a way to quickly add summations (probably not the first one to discover it but...) this only works when you start at 1 (i.e. ...
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### Particular type of input to gather information on certain types of encryption schemes

Consider a simple case in which information is sent is considered as it's binary equivalent and then those numbers are considered as base 10 and used as inputs to an equation over a number field of ...
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### Infinite series with only two zeros at $\Re(s)=\frac12$. Why is that the case?

I was experimenting with the following series: $$\displaystyle k(s)=\sum_{n=1}^\infty \frac{1}{n^{\ln (\frac{n}{s})}}$$ I believe this is an entire function without any poles in $\mathbb{C}$ (note ...
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### Does there exist an infinite sequence $p_0,p_1,p_2…$ of prime numbers such that $p_k=4 p_{k-1}\pm 1$

$k \in Z^+$ firstly we know that there exists infinetly many primes of the form $4n+1$ by FTA also we see that if we consider finite primes say to $n$ then the recursive formular can be expressed ...
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### Convergence of the sum of two infinite series only at $x=\frac12$?
I would like to ask a simplified version of this question on MO: question about infinite series Assume $x \in \mathbb{R}$. I like to conjecture that the sum of the following two infinite series: ...