-
Roger Apéry (French: [apeʁi]; 14
November 1916,
Rouen – 18
December 1994, Caen) was a
French mathematician most
remembered for
Apéry's theorem,
which states...
- In mathematics,
Apéry's constant is the sum of the
reciprocals of the
positive cubes. That is, it is
defined as the
number ζ(3)=∑n=1∞1n3=limn→∞(113+123+⋯+1n3)...
- 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∞1n3=113+123+133+⋯=1...
- it is also a
magic number for the
diamond cubic. It is also the
fourth Apéry number a 3 {\displaystyle a_{3}}
following 19,
where a n = ∑ k = 0 n ( n...
-
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...
- (earlier used as a half-way model), in 1978. His
graduate student François
Apéry, in 1986,
discovered another parametrization of Boy's surface,
which conforms...
- Γ(12)=π;{\displaystyle \Gamma ({\tfrac {1}{2}})={\sqrt {\pi }};}
while inside Apéry's constant,
which represents the sum of the
reciprocals of all
positive cubes...
-
Interesting Numbers" by
David Wells, page 69
Sequence OEIS: A019692. See
Apéry 1979. "The
Penguin Dictionary of
Curious and
Interesting Numbers" by David...
-
approximately 2.5029. The
numeric value of δ is
approximately 4.6692.
Apery's constant is the sum of the
series ζ(3)=1+123+133+143+⋯{\displaystyle \zeta...
- Euler–Gompertz
constant δ is transcendental.
Apéry's constant ζ(3) (whose
irrationality was
proved by
Apéry). The
reciprocal Fibonacci constant and reciprocal...
