@@ Property / Symbols used @@
+Möbius function
@@ Property / Symbols used: Möbius function / rank @@
+Normal rank
@@ Property / Symbols used: Möbius function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}$ 
\Moebiusmu@{\NVar{n}}
@@ Property / Symbols used: Möbius function / qualifier @@
+xml-id: C27.S2.E12.m2adec
@@ Property / Symbols used @@
+Ramanujan’s sum
@@ Property / Symbols used: Ramanujan’s sum / rank @@
+Normal rank
@@ Property / Symbols used: Ramanujan’s sum / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle c_{\NVar{k}}\left(\NVar{n}\right)}}$ 
\Ramanujansum{\NVar{k}}@{\NVar{n}}
@@ Property / Symbols used: Ramanujan’s sum / qualifier @@
+xml-id: C27.S10.E4.m2aadec
@@ Property / Symbols used @@
+Q12093
@@ Property / Symbols used: Q12093 / rank @@
+Normal rank
@@ Property / Symbols used: Q12093 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}$ 
\pgcd{\NVar{m},\NVar{n}}
@@ Property / Symbols used: Q12093 / qualifier @@
+xml-id: C27.S1.p2.t1.r3.m6adec
@@ Property / Symbols used @@
+Q12241
@@ Property / Symbols used: Q12241 / rank @@
+Normal rank
@@ Property / Symbols used: Q12241 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle d}}$ 
d
@@ Property / Symbols used: Q12241 / qualifier @@
+xml-id: C27.S1.XMD1.m1dec
@@ Property / Symbols used @@
+Q12238
@@ Property / Symbols used: Q12238 / rank @@
+Normal rank
@@ Property / Symbols used: Q12238 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12238 / qualifier @@
+xml-id: C27.S1.XMD2.m1ddec
@@ 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.m1ddec

DLMF:27.10.E5 (Q8062): Difference between revisions

μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}

c k ⁡ ( n ) Ramanujan-sum 𝑘 𝑛 {\displaystyle{\displaystyle c_{\NVar{k}}\left(\NVar{n}\right)}}

( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}

d 𝑑 {\displaystyle{\displaystyle d}}

k 𝑘 {\displaystyle{\displaystyle k}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 14:23, 2 January 2020

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

${\displaystyle{\displaystyle c_{\NVar{k}}\left(\NVar{n}\right)}}$

${\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}$

${\displaystyle{\displaystyle d}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle n}}$