About: Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions: analytic theory

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À propos de : Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions: analytic theory Goto Sponge NotDistinct Permalink

Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Number theory
narrower concept	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\zeta (s)$"><mml:mi>ζ</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>) and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math> Real zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>; results on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(1, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mn>1</mml:mn><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math> Nonreal zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\zeta (s)$"><mml:mi>ζ</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>) and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>; Riemann and other hypotheses Multiple Dirichlet series and zeta functions and multizeta values Hurwitz and Lerch zeta functions Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions in characteristic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math> Other Dirichlet series and zeta functions Tauberian theorems Relations with random matrices Relations with noncommutative geometry None of the above, but in MSC2010 section 11Mxx
skos:prefLabel	ζ函数与L-函数: 解析理论 Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions: analytic theory Zeta and <n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><n0:mi>L</n0:mi></n0:math>-functions: analytic theory
skos:closeMatch	from MSC1991 value of: Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions: analytic theory from MSC2000 value of: Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions: analytic theory
skos:notation	11Mxx
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.73
is broader concept of	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\zeta (s)$"><mml:mi>ζ</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>) and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math> Real zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>; results on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(1, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mn>1</mml:mn><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math> Nonreal zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\zeta (s)$"><mml:mi>ζ</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>) and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$L(s, \chi)$" display="block"><mml:mi>L</mml:mi><mml:mo mml:fence="true">(</mml:mo><mml:mi>s</mml:mi><mml:mo mml:separator="true">,</mml:mo><mml:mi>χ</mml:mi><mml:mo mml:fence="true">)</mml:mo></mml:math>; Riemann and other hypotheses Multiple Dirichlet series and zeta functions and multizeta values Hurwitz and Lerch zeta functions Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas Zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions in characteristic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math> Other Dirichlet series and zeta functions Tauberian theorems Relations with random matrices Relations with noncommutative geometry None of the above, but in MSC2010 section 11Mxx
is narrower concept of	Number theory

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