On the central limit theorem for theta series

DOI10.1307/mmj/1029002615zbMath0493.10042OpenAlexW2076654476MaRDI QIDQ1168358

W. B. Jurkat, J. W. van Horne

Publication date: 1982

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002615

zbMATH Keywords

theta seriescentral limit theoremlimiting distributionlacunary sequence with Hadamard gaps

Mathematics Subject Classification ID

Estimates on character sums (11L40) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (10)

Short incomplete Gauss sums and rational points on metaplectic horocycles ⋮ THE VALUE DISTRIBUTION OF INCOMPLETE GAUSS SUMS ⋮ Quadratic Weyl sums, automorphic functions and invariance principles ⋮ Limit theorems for skew translations ⋮ Limit theorems for theta sums ⋮ Small values of Weyl sums ⋮ Spectral theta series of operators with periodic bicharacteristic flow ⋮ Limiting curlicue measures for theta sums ⋮ The uniform central limit theorem for theta sums ⋮ Limiting distributions of theta series on Siegel half-spaces

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