The distribution of Hecke eigenvalues at Piatetski-Shapiro primes

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

• Stephan Baier (University of Bristol)
• Monday 26 October 2009, 16:00-17:00
• MR12, CMS.

If you have a question about this talk, please contact Boris Bukh.

This is joint work with Liangyi Zhao. The distribution of Hecke eigenvalues at prime arguments has received a lot of attention. We are interested in the special question of how they are distributed at arguments from a certain sparse set of primes, namely Piatetski-Shapiro primes. The motivation for our investigation is two-fold. Firstly, the mean-values of arithmetic functions (in particular, of Fourier coefficients of cusp forms) over sparse sequences are often difficult to handle and thus of great interest. Secondly, it is a hard problem to detect primes in arithmetically interesting sets of natural numbers that are sparse. To tackle our problem, we are using a refinement of a method of Jutila to bound certain exponential sums with Fourier coefficients of cusp forms.

This talk is part of the Discrete Analysis Seminar 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
• MR12, CMS
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.