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Showing 2008 · math.NTShow all
3 papers · 2 filters
math.NT2008
Badly approximable affine forms and Schmidt games
Jimmy Tseng
For any real number \t, the set of all real numbers x for which there exists a constant c(x) > 0 such that \inf_{p \in \ZZ} |\t q - x - p| \geq c(x)/|q| for all q in \ZZ {0} is an…
math.NT2008★ 9 cited
Mass equidistribution for Hecke eigenforms
R. Holowinsky, K. Soundararajan
We prove a conjecture of Rudnick and Sarnak on the mass equidistribution of Hecke eigenforms. This builds upon independent work of the authors see arxiv.org:math/0809.1640 and arxi…
math.NT2008★ 1 cited
Sieving for mass equidistribution
Roman Holowinsky
We approach the holomorphic analogue to the Quantum Unique Ergodicity conjecture through an application of the Large Sieve. We deal with shifted convolution sums as in ([Ho], arXiv…