On explicit versions of Tartakovski's theorem

DOI10.1007/PL00000471zbMath0995.11030OpenAlexW1993340613MaRDI QIDQ5946706

Rainer Schulze-Pillot

Publication date: 10 October 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000471

zbMATH Keywords

modular formsexplicit boundquaternary quadratic positive definite form

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

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Local densities and explicit bounds for representability by a quadratic form ⋮ Uniform bounds for norms of theta series and arithmetic applications ⋮ Quadratic forms and semiclassical eigenfunction hypothesis for flat tori ⋮ Integers represented by positive-definite quadratic forms and Petersson inner products ⋮ The Kloosterman problem for binary Hermitian lattices ⋮ Steinhaus tiling problem and integral quadratic forms

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