§27.1 Special Notation

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Defines:: $\left(\NVar{m},\NVar{n}\right)$ : greatest common divisor (gcd)
Keywords:: additive number theory, multiplicative number theory, notation, number theory, partition, primes
Permalink:: http://dlmf.nist.gov/27.1
See also:: Annotations for Ch.27

	positive integers (unless otherwise indicated).
$d\mathbin{\|}n$	divides .
$\left(m,n\right)$	greatest common divisor of . If $\left(m,n\right)=1$ , and are called relatively prime, or coprime.
$\left(d_{1},\dots,d_{n}\right)$	greatest common divisor of $d_{1},\dots,d_{n}$ .
$\sum_{d\mathbin{\|}n}$ , $\prod_{d\mathbin{\|}n}$	sum, product taken over divisors of .
$\sum_{\left(m,n\right)=1}$	sum taken over , $1\leq m\leq n$ and relatively prime to .
$p,p_{1},p_{2},\dots$	prime numbers (or primes): integers () with only two positive integer divisors, 1 and the number itself.
$\sum_{p}$ , $\prod_{p}$	sum, product extended over all primes.
	real numbers.
$\sum_{n\leq x}$	$\sum_{n=1}^{\left\lfloor x\right\rfloor}$ .
$\zeta\left(s\right)$	Riemann zeta function; see §25.2(i).
	Jacobi symbol; see §27.9.
	Legendre symbol; see §27.9.