Estimates of lattice points in the discriminant aspect over abelian extension fields

DOI10.1515/forum-2017-0152zbMath1437.11138OpenAlexW2762461070MaRDI QIDQ1748362

Shin-ya Koyama, Wataru Takeda

Publication date: 9 May 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2017-0152

zbMATH Keywords

approximation formulalattice pointLindelöf hypothesis in the discriminant aspect

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Asymptotic results on counting functions for algebraic and topological structures (11N45) Zeta functions and (L)-functions of number fields (11R42) Lattice points in specified regions (11P21)

Related Items (1)

Uniform bounds of the Piltz divisor problem over number fields

Cites Work

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• The probability that random algebraic integers are relatively \(r\)-prime
• The probability that \(k\) positive integers are relatively \(r\)-prime
• Visible lattice points and the extended Lindelöf hypothesis
• Decoupling, exponential sums and the Riemann zeta function
• Hybrid bounds for Dirichlet's L-function

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