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Results tagged with arithmetic-progression
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user 101078
An arithmetic progression is a (possibly infinite) sequence of numbers such that the difference between consecutive terms is always the same value.
19
votes
Accepted
Are there any papers about this observation of the distribution of the zeros of the zeta fun...
This is called Landau's formula. More precisely, if we extend the von Mangoldt function $\Lambda(n)$ to the function $\Lambda:\mathbb R_+\to \mathbb R$ by $\Lambda(x)=0$ for non-integer $x$, then
$$
\ …
- 7,193
5
votes
Accepted
Remainder terms of congruence sums in sets of positive density
Let $\mathcal A$ be the set of all $n\in \mathbb N$ with a prime factor $p>\sqrt{n}$. First, the number of elements $a\in \mathcal A$ with $a\leq x$ is $\gg x$. Indeed, this large prime factor is uni …
- 7,193