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- W4291538000 abstract "Subconvexity bounds are proved for general Epstein zeta functions of k-ary quadratic forms. This is related to sup-norm bounds for Eisenstein series on GL(k), and the exact sup-norm exponent is determined to be (k-2)/8 for k >= 2. In particular, if $k$ is odd, this exponent is not in Z/4, which shows that Sarnak's purity conjecture does not hold for Eisenstein series." @default.
- W4291538000 created "2022-08-15" @default.
- W4291538000 creator A5048865416 @default.
- W4291538000 date "2016-02-06" @default.
- W4291538000 modified "2023-10-16" @default.
- W4291538000 title "Epstein zeta-functions, subconvexity, and the purity conjecture" @default.
- W4291538000 doi "https://doi.org/10.48550/arxiv.1602.02326" @default.
- W4291538000 hasPublicationYear "2016" @default.
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