Multiplicative Functions
Add to your list(s)
Download to your calendar using vCal
If you have a question about this talk, please contact helen.
A multiplicative function $f: {\Bbb N} \to {\Bbb C}$ is a
function satisfying $f(mn)=f(m)f(n)$. Many naturally occuring
functions in number theory are multiplicative. Over the last several
years, Andrew Granville and I have been studying various features of
multiplicative functions. I will discuss some aspects of this work.
For example, I will answer the question of how many numbers up to a
given number $x$ are quadratic residues (you are free to choose the
prime $p$ so as to minimize the answer). As another example, I will
discuss character sums and a recent improvement of a classical
inequality of Polya and Vinogradov.
This talk is part of the Kuwait Foundation Lectures series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
