767 citations
- Kavli Institute for Particle Astrophysics and CosmologyUS4 papers
- University of California, Santa BarbaraUS3 papers
- University of ChicagoUS3 papers
- Australian National UniversityAU2 papers
- Columbia UniversityUS2 papers
- Cornell UniversityUS2 papers
- École Normale Supérieure de LyonFR2 papers
- Hewlett-Packard (United States)US2 papers
- Massachusetts Institute of TechnologyUS2 papers
- National University of SingaporeSG2 papers
- Stanford Synchrotron Radiation LightsourceUS2 papers
- The University of TokyoJP2 papers
4 papers · 1 filter
The main conjecture for CM elliptic curves at supersingular primes
Robert Pollack, Karl Rubin
At a prime of ordinary reduction, the Iwasawa ``main conjecture'' for elliptic curves relates a Selmer group to a -adic -function. In the supersingular case, the statement of…
Sparse equidistribution problems, period bounds, and subconvexity
Akshay Venkatesh
We introduce a ``geometric'' method to bound periods of automorphic forms. The key features of this method are the use of equidistribution results in place of mean value theorems,…
Large character sums: Pretentious characters and the Polya-Vinogradov Theorem
Andrew Granville, K. Soundararajan
In 1918 Polya and Vinogradov gave an upper bound for the maximal size of character sums which still remains the best known general estimate. One of the main results of this paper p…
An uncertainty principle for arithmetic sequences
Andrew Granville, K. Soundararajan
Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are ``well-distributed'' in some appropriate sense. In various discrepancy proble…