Multiplicative Functions

Add to your list(s) Download to your calendar using vCal

• Professor K. Soundararajan (Stanford University)
• Tuesday 13 March 2007, 17:00-18:00
• Wolfson Room (MR 2) Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

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:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Discrete Analysis Seminar
• Hanchen DaDaDash
• Interested Talks
• Kuwait Foundation Lectures
• School of Physical Sciences
• Wolfson Room (MR 2) Centre for Mathematical Sciences, Wilberforce Road, Cambridge
• bld31

Note that ex-directory lists are not shown.