On the Dedekind zeta function. II

DOI10.1007/S10958-015-2415-4zbMath1360.11123OpenAlexW4255652955MaRDI QIDQ280899

Oleg M. Fomenko

Publication date: 10 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2415-4

zbMATH Keywords

Dedekind zeta functionnumber fieldsfundamental units

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Distribution of prime ideals (11R44)

Cites Work

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• The distribution and average order of the coefficients of Dedekind zeta functions
• On the quartic residue symbol of totally positive quadratic units
• On the distribution of ideals in cubic number fields
• Transformation formula for exponential sums involving Fourier coefficients of modular forms
• Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind
• The number of ideals in a quadratic field
• Omega theorems for a class of \(L\)-functions. (A note on the Rankin-Selberg zeta-function)
• Cusp forms of weight one, quartic reciprocity and elliptic curves
• The growth rate of the Dedekind Zeta-function on the critical line
• Large values of certain number-theoretic error terms
• Application of a Theorem of Montgomery and Vaughan to the Zeta-Function
• On the Distribution of Integer Ideals in Algebraic Number Fields
• The Piltz divisor problem in number fields: An improved lower bound by Soundararajan's method
• On the Frequency of Titchmarsh's Phenomenon for Ζ(S)
• Lattice points in large convex bodies

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