Almost periodic functions and hyperbolic counting

DOI10.1142/S1793042118501439zbMath1445.11041arXiv1610.05928OpenAlexW2963433861MaRDI QIDQ4683194

Giacomo Cherubini

Publication date: 20 September 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05928

zbMATH Keywords

almost periodic functionshyperbolic lattice points

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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• The variance of the hyperbolic lattice point counting function
• The asymptotic distribution of lattice points in hyperbolic space
• The circle problem in the hyperbolic plane
• On the variance of the error term in the hyperbolic circle problem
• Distribution of the error term for the number of lattice points inside a shifted circle
• LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY
• Elliptic Curves of Unbounded Rank and Chebyshev's Bias
• Chebyshev's Bias
• The distribution and moments of the error term in the Dirichlet divisor problem
• Higher-Power Moments of δ(x ), E(t ) and P(x )
• Large deviations of sums of independent random variables

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