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- Apéry's_constant abstract "In mathematics, Apéry's constant is a number that occurs in a variety of situations. It arises naturally in a number of physical problems, including in the second- and third-order terms of the electron's gyromagnetic ratio using quantum electrodynamics. It also arises in conjunction with the gamma function when solving certain integrals involving exponential functions in a quotient which appear occasionally in physics, for instance when evaluating the two-dimensional case of the Debye model and the Stefan–Boltzmann law. It is defined as the number ζ(3),where ζ is the Riemann zeta function. It has an approximate value of (Wedeniwski 2001)ζ(3) = 1.202056903159594285399738161511449990764986292... (sequence A002117 in OEIS).The reciprocal of this constant is the probability that any three positive integers, chosen at random, will be relatively prime (in the sense that as N goes to infinity, the probability that three positive integers less than N chosen uniformly at random will be relatively prime approaches this value).".
- Apéry's_constant wikiPageID "2216711".
- Apéry's_constant wikiPageRevisionID "602073763".
- Apéry's_constant id "4021".
- Apéry's_constant title "Apéry's constant".
- Apéry's_constant urlname "AperysConstant".
- Apéry's_constant subject Category:Analytic_number_theory.
- Apéry's_constant subject Category:Irrational_numbers.
- Apéry's_constant subject Category:Mathematical_constants.
- Apéry's_constant subject Category:Zeta_and_L-functions.
- Apéry's_constant comment "In mathematics, Apéry's constant is a number that occurs in a variety of situations. It arises naturally in a number of physical problems, including in the second- and third-order terms of the electron's gyromagnetic ratio using quantum electrodynamics.".
- Apéry's_constant label "Apéry's constant".
- Apéry's_constant label "Apéry-Konstante".
- Apéry's_constant label "Constante d'Apéry".
- Apéry's_constant label "Constante de Apéry".
- Apéry's_constant label "Constante de Apéry".
- Apéry's_constant label "Costante di Apéry".
- Apéry's_constant label "Stała Apéry'ego".
- Apéry's_constant label "Постоянная Апери".
- Apéry's_constant label "ثابتة أبيري".
- Apéry's_constant label "アペリーの定数".
- Apéry's_constant label "阿培里常数".
- Apéry's_constant sameAs Ap%C3%A9ry's_constant.
- Apéry's_constant sameAs Apéry-Konstante.
- Apéry's_constant sameAs Constante_de_Apéry.
- Apéry's_constant sameAs Constante_d'Apéry.
- Apéry's_constant sameAs Costante_di_Apéry.
- Apéry's_constant sameAs アペリーの定数.
- Apéry's_constant sameAs 아페리_상수.
- Apéry's_constant sameAs Stała_Apéry'ego.
- Apéry's_constant sameAs Constante_de_Apéry.
- Apéry's_constant sameAs Q622682.
- Apéry's_constant sameAs Q622682.
- Apéry's_constant wasDerivedFrom Apéry's_constant?oldid=602073763.