L-Functions are likely to play a key role in proving the Riemann Hypothesis, says Professor Jon Keating from the University of Bristol. More links & stuff in full description below ↓↓↓...
========== yes so we're going to talk about L-functions. I want to give you an examplefirst of all of one L-function that I
think you probably would recognize andthis is the Riemann zeta function, which
depends on a complex numbers is x+iy. 'i' here is the square root
of -1, and you can define it either bya sum over the integers, all the integers, all the positive ones. Or, this is a great discovery of Euler:I can write it as a product over the
prime numbers. and so the zeta functionencodes information about the primes. It
contains all the primes and if you canunravel how the information in the zeta function is encoded you can determineproperties of the primes. That's one of
the L-functions, and let me tell youa little bit more about the Riemann ze...
