767 citations
- Kavli Institute for Particle Astrophysics and CosmologyUS4 papers
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Showing 2005 · math.NTShow all
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math.NT2005
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…
math.NT2005★ 16 cited
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,…
math.NT2005
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…