@@ Property / Symbols used @@
+Dirichlet $$L$$ -function
@@ Property / Symbols used: Dirichlet $$L$$ -function / rank @@
+Normal rank
@@ Property / Symbols used: Dirichlet $$L$$ -function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}$ 
\DirichletL@{\NVar{s}}{\NVar{\chi}}
@@ Property / Symbols used: Dirichlet $$L$$ -function / qualifier @@
+xml-id: C25.S15.E1.m2abdec
@@ Property / Symbols used @@
+Hurwitz zeta function
@@ Property / Symbols used: Hurwitz zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$ 
\Hurwitzzeta@{\NVar{s}}{\NVar{a}}
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+xml-id: C25.S11.E1.m2adec
@@ Property / Symbols used @@
+Q12150
@@ Property / Symbols used: Q12150 / rank @@
+Normal rank
@@ Property / Symbols used: Q12150 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12150 / qualifier @@
+xml-id: C25.S1.XMD1.m1dec
@@ Property / Symbols used @@
+Q12149
@@ Property / Symbols used: Q12149 / rank @@
+Normal rank
@@ Property / Symbols used: Q12149 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s}}$ 
s
@@ Property / Symbols used: Q12149 / qualifier @@
+xml-id: C25.S1.XMD7.m1bdec
@@ Property / Symbols used @@
+Q12168
@@ Property / Symbols used: Q12168 / rank @@
+Normal rank
@@ Property / Symbols used: Q12168 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\chi(n)}}$ 
\chi(n)
@@ Property / Symbols used: Q12168 / qualifier @@
+xml-id: C25.S15.XMD1.m1bdec

DLMF:25.15.E3 (Q7748): Difference between revisions

L ⁡ ( s , χ ) Dirichlet-L 𝑠 𝜒 {\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}

ζ ⁡ ( s , a ) Hurwitz-zeta 𝑠 𝑎 {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

k 𝑘 {\displaystyle{\displaystyle k}}

s 𝑠 {\displaystyle{\displaystyle s}}

χ ⁢ ( n ) 𝜒 𝑛 {\displaystyle{\displaystyle\chi(n)}}

Latest revision as of 01:04, 2 January 2020

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${\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}$

${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle\chi(n)}}$