Apéry's theorem
In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational. That is, the number cannot be written as a fraction p/q where p and q are integers. The theorem is named after Roger Apéry. The special values of the Riemann zeta function at even integers 2n (n > 0) can be shown in terms of Bernoulli numbers to be irrational, while it remains open whether the function's values are in general rational or not at the odd integers 2n + 1 (n > 1) (though they are conjectured to be irrational).
Wikipage redirect
primaryTopic
Apéry's theorem
In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational. That is, the number cannot be written as a fraction p/q where p and q are integers. The theorem is named after Roger Apéry. The special values of the Riemann zeta function at even integers 2n (n > 0) can be shown in terms of Bernoulli numbers to be irrational, while it remains open whether the function's values are in general rational or not at the odd integers 2n + 1 (n > 1) (though they are conjectured to be irrational).
has abstract
In mathematics, Apéry's theore ...... conjectured to be irrational).
@en
Inom matematiken är Apérys sat ...... t bråk p/q med p och q heltal.
@sv
Le théorème d'Apéry, dû, en 19 ...... surnommé la constante d'Apéry.
@fr
في الرياضيات، مبرهنة أبيري (Ap ...... كسر مقامه وبسطه عددان صحيحان.
@ar
数学において、アペリーの定理 (Apéry's theore ...... 、当時隆盛を誇っていたブルバキとは独立にこの方法を開拓した。
@ja
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,017,703,818
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
In mathematics, Apéry's theore ...... conjectured to be irrational).
@en
Inom matematiken är Apérys sat ...... t bråk p/q med p och q heltal.
@sv
Le théorème d'Apéry, dû, en 19 ...... surnommé la constante d'Apéry.
@fr
في الرياضيات، مبرهنة أبيري (Ap ...... كسر مقامه وبسطه عددان صحيحان.
@ar
数学において、アペリーの定理 (Apéry's theore ...... 、当時隆盛を誇っていたブルバキとは独立にこの方法を開拓した。
@ja
label
Apéry's theorem
@en
Apérys sats
@sv
Théorème d'Apéry
@fr
مبرهنة أبيري
@ar
アペリーの定理
@ja