On the error term and zeros of the Dedekind zeta function

DOI10.1016/j.jnt.2020.02.006zbMath1448.11203OpenAlexW3011132409MaRDI QIDQ784268

Biplab Paul, Ayyadurai Sankaranarayanan

Publication date: 3 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.02.006

zbMATH Keywords

zero-density estimateDedekind zeta-functionideal number theorem

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

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\(\Omega\)-result for the index of composition of an integral ideal, SUM OF VALUES OF THE IDEAL CLASS ZETA-FUNCTION OVER NONTRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION, Unnamed Item, Two-parameter identities for divisor sums in algebraic number fields

Cites Work

• On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\)
• On the distribution of integral ideals and Hecke Grössencharacters
• The distribution and average order of the coefficients of Dedekind zeta functions
• On the distribution of ideals in cubic number fields
• Fundamental properties of symmetric square \(L\)-functions. II.
• On the mean value of the error term for a class of arithmetical functions
• The growth rate of the Dedekind Zeta-function on the critical line
• Exponential Sums and Lattice Points
• On the density of the zeros of the Dedekind Zeta-function
• Exponential Sums and Lattice Points II
• On the Distribution of Integer Ideals in Algebraic Number Fields
• Hilbert's Inequality
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