Selberg zeta function
The Selberg zeta-function was introduced by Atle Selberg . It is analogous to the famous Riemann zeta function where is the set of prime numbers. The Selberg zeta-function uses the lengths of simple closed geodesics instead of the primes numbers. If is a subgroup of SL(2,R), the associated Selberg zeta function is defined as follows, or where p runs over conjugacy classes of prime geodesics (equivalently, conjugacy classes of primitive hyperbolic elements of ), and N(p) denotes the length of p (equivalently, the square of the bigger eigenvalue of p). The zeros are at the following points:
known for
Wikipage disambiguates
primaryTopic
Selberg zeta function
The Selberg zeta-function was introduced by Atle Selberg . It is analogous to the famous Riemann zeta function where is the set of prime numbers. The Selberg zeta-function uses the lengths of simple closed geodesics instead of the primes numbers. If is a subgroup of SL(2,R), the associated Selberg zeta function is defined as follows, or where p runs over conjugacy classes of prime geodesics (equivalently, conjugacy classes of primitive hyperbolic elements of ), and N(p) denotes the length of p (equivalently, the square of the bigger eigenvalue of p). The zeros are at the following points:
has abstract
Die Selbergsche Zetafunktion i ...... lischen Fläche zu untersuchen.
@de
La funció zeta de Selberg va s ...... del valor propi més gran de p.
@ca
La función zeta de Selberg fue ...... as en lugar de números primos.
@es
Pour chaque surface hyperboliq ...... des pôles en les points de –ℕ.
@fr
The Selberg zeta-function was ...... of the Selberg zeta function.
@en
دالة زيتا لسيلبرغ اخترعت من طر ...... الأولية وتستعمل بدلا منها ...
@ar
セルバーグゼータ函数(Selberg zeta-functi ...... タ函数の p-進類似（グラフ理論的な類似）と考えられている。
@ja
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,016,241,996
Link from a Wikipage to another Wikipage
authorlink
Atle Selberg
@en
first
Atle
@en
last
Selberg
@en
wikiPageUsesTemplate
comment
Die Selbergsche Zetafunktion i ...... lischen Fläche zu untersuchen.
@de
La funció zeta de Selberg va s ...... del valor propi més gran de p.
@ca
La función zeta de Selberg fue ...... as en lugar de números primos.
@es
Pour chaque surface hyperboliq ...... des pôles en les points de –ℕ.
@fr
The Selberg zeta-function was ...... s are at the following points:
@en
دالة زيتا لسيلبرغ اخترعت من طر ...... الأولية وتستعمل بدلا منها ...
@ar
セルバーグゼータ函数(Selberg zeta-functi ...... ータ函数は、 で極をもち、点 で、極、もしくはゼロ点を持つ。
@ja
label
Fonction zêta de Selberg
@fr
Funció zeta de Selberg
@ca
Función zeta de Selberg
@es
Selberg zeta function
@en
Selbergsche Zetafunktion
@de
دالة زيتا لسيلبرغ
@ar
セルバーグゼータ函数
@ja