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DEPARTMENT OF MATHEMATICS |
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Time: 4:00 pm Date: Wednesday, February 13, 2002 Room: Little Hall 101 Refreshments: The Atrium (LIT 339) after the lecture. |
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Abstract:
The Riemann Hypothesis, perhaps the most celebrated unsolved
problem in mathematics, is one of the seven
"Million Dollar Problems".
In 1859 Bernhard Riemann delivered an address
"On the number of primes less than a given magnitude" to
the Prussian Academy of Sciences in Berlin. In the course
of the lecture, he considered a meromorphic function of the
complex variable
,
now known as Riemann's zeta
function, whose non-real zeros all lie in the infinite strip
,
and, as Riemann showed, have an intimate
connection with the distribution of prime numbers. Riemann
expressed the opinion that, "very probably", all these zeros
actually lie on the line
.
This is the Riemann
Hypothesis (RH). The aim of this talk is to sketch what is
known about RH and to describe evidence as there is for
and against it. The talk will touch briefly on the current
activity related to RH.
NUMBER THEORY SEMINAR: 12:50pm, Tuesday, February 12 in LIT 368.
Heini Halberstam on "The Brun-Hooley Sieve."
* Heini Halberstam, a renowned number theorist, is a world authority
in the area of Sieve Methods. He is the author of numerous fundamental
papers and two very well known books. An outstanding speaker, Professor
Halberstam served as Chairman of the Mathematics Department at the
University of Illinois, Urbana during 1980--88. He is now
Professor Emeritus in Urbana.
Created
Wednesday, February 06, 2002.
Please report problems to:
www@math.ufl.edu
Last update made Sat Mar 2 10:58:27 EST 2002.