@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\alpha\neq 0}}$ 
\alpha\neq 0
@@ Property / constraint: ${\displaystyle{\displaystyle\alpha\neq 0}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+sum of powers of divisors of $$n$$
@@ Property / Symbols used: sum of powers of divisors of $$n$$ / rank @@
+Normal rank
@@ Property / Symbols used: sum of powers of divisors of $$n$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}$ 
\sumdivisors{\NVar{\alpha}}@{\NVar{n}}
@@ Property / Symbols used: sum of powers of divisors of $$n$$ / qualifier @@
+xml-id: C27.S2.E10.m2adec
@@ Property / Symbols used @@
+Q12233
@@ Property / Symbols used: Q12233 / rank @@
+Normal rank
@@ Property / Symbols used: Q12233 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}$ 
\nprimesdiv@{\NVar{n}}
@@ Property / Symbols used: Q12233 / qualifier @@
+xml-id: C27.S2.SS1.p1.m6abdec
@@ Property / Symbols used @@
+Q12234
@@ Property / Symbols used: Q12234 / rank @@
+Normal rank
@@ Property / Symbols used: Q12234 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12234 / qualifier @@
+xml-id: C27.S1.XMD4.m1edec
@@ Property / Symbols used @@
+Q12235
@@ Property / Symbols used: Q12235 / rank @@
+Normal rank
@@ Property / Symbols used: Q12235 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle p,p_{1},\ldots}}$ 
p,p_{1},\ldots
@@ Property / Symbols used: Q12235 / qualifier @@
+xml-id: C27.S1.XMD5.m1cdec
@@ Property / Symbols used @@
+Q12244
@@ Property / Symbols used: Q12244 / rank @@
+Normal rank
@@ Property / Symbols used: Q12244 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a_{r}}}$ 
a_{r}
@@ Property / Symbols used: Q12244 / qualifier @@
+xml-id: C27.S2.XMD1.m1bdec

DLMF:27.3.E6 (Q8007): Difference between revisions

α ≠ 0 𝛼 0 {\displaystyle{\displaystyle\alpha\neq 0}}

σ α ⁡ ( n ) divisor-sigma 𝛼 𝑛 {\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}

ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}

n 𝑛 {\displaystyle{\displaystyle n}}

p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}

a r subscript 𝑎 𝑟 {\displaystyle{\displaystyle a_{r}}}

Latest revision as of 14:15, 2 January 2020

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${\displaystyle{\displaystyle\alpha\neq 0}}$

${\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}$

${\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle p,p_{1},\ldots}}$

${\displaystyle{\displaystyle a_{r}}}$