1896 Hadamard and Valle'e-Poussin
Simultaneously Proved
the
Prime Number Theorem, i.e. the conjecture of Guass
and Legendre.
Hadamard's
proof required the zeros lie in
the
critical strip.
Hadamard also proved that the zeros could not be on the borders of the
critical
strip (real parts could not be 0 or 1). Confinement was beginning.
That is,
confinement of the
Zeta zeros to within the critical strip.
Aside 1: A fly in the
ointment
although I don't see its connection. Other
zeta
functions consider inert primes, i.e. those that can't
be
factored in the Gaussian realm.
Is 5 a prime number?
5 = (1 + 2i)(1-2i)
Aside 2:
Walsh-Hadamard basis functions are what is used to provide you a
channel
(downlink)
in IS-95, gen-2 cell
phones DS-CDMA.
Aside 3: A
comment on the pictures, neither are as famous as some of the others,
but the
sketch of Hadamard looked much like a painting of van Gogh.
Who in turn, looks like me, after a little word touch-up.
Upon
reading about him, acts more like he should be in Stony, or at the least getting some relationship
counseling.