A mean value theorem for cubic fields.

DOI10.1016/S0022-314X(02)00075-6zbMath1053.11082MaRDI QIDQ1394914

Robert C. Vaughan

Publication date: 25 June 2003

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

zbMATH Keywords

Dedekind zeta functionmean value theoremcubic fieldsintegral idealsGauss lattice point problem

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Cubic and quartic extensions (11R16) Zeta functions and (L)-functions of number fields (11R42) Lattice points in specified regions (11P21)

Related Items (1)

ON SOME QUESTIONS OF PARTITIO NUMERORUM: TRES CUBI

Cites Work

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• A mean value theorem for quadratic fields
• A zero-density theorem for the Riemann zeta-function
• On the distribution of ideals in cubic number fields
• On the addition of sequences of integers
• Exponential Sums and Lattice Points II
• On the Distribution of Integer Ideals in Algebraic Number Fields
• Hilbert's Inequality
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• The number of ideals in a quadratic field. II

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