- In mathematics,
Apéry's constant is the
infinite sum of the
reciprocals of the
positive integers, cubed. That is, it is
defined as the
number ζ ( 3 )...
-
Roger Apéry (French: [apeʁi]; 14
November 1916,
Rouen – 18
December 1994, Caen) was a Gr****-French
mathematician most
remembered for
Apéry's theorem, which...
- 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 ζ ( 3 ) = ∑ n = 1...
-
fundamental way of the
solving process. An
extreme example is
Apery's theorem:
Roger Apery provided only the
ideas for a proof, and the
formal proof was...
-
mathematician Roger Apéry in 1979. It is
however not
known whether it is
algebraic or transcendental. The
numeric value of
Apéry's constant is approximately:...
- The very
first versicle of the
Liturgy of hours:
Domine labia mea
aperies – et os meum
annuniabit laudem tuam...
- of them, ζ(2),
provides a
solution to the
Basel problem. In 1979
Roger Apéry proved the
irrationality of ζ(3). The
values at
negative integer points...
- The
verse Domine,
labia mea
aperies et os meum
annuntiabit laudem tuam is sung at the
opening of the
first canonical hour of the day...
- at odd
positive integers n ≥ 3 {\displaystyle n\geq 3} ; in
particular Apéry's constant ζ(3),
which is
known to be irrational. For the
other numbers ζ(5)...
-
contains the Sc****bach
Schwarz numbers and the
Kneser numbers and the
Apéry numbers: In the following, it will be
shown as an
example how the Sc****bach...
