38 citations · 73 across the 13 of their papers we have counts for
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A Sieve Method for Shifted Convolution Sums
Roman Holowinsky
We study the average size of shifted convolution summation terms related to the problem of Quantum Unique Ergodicity on ${\rm SL}_2 (\mathbbm{Z})\backslash \mathbbm{H}$. Establishi…
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…
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…
Bounding sup-norms of cusp forms of large level
Valentin Blomer, Roman Holowinsky
Let f be an -normalized weight zero Hecke-Maass cusp form of square-free level N, character and Laplacian eigenvalue . It is shown that $\| f \|_{\infty} \ll_λ…