On exponential sums involving the ideal counting function in quadratic number fields

DOI10.1007/S00605-002-0495-YzbMath1014.11057OpenAlexW1993994330MaRDI QIDQ1849691

Jun Furuya

Publication date: 1 December 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0495-y

zbMATH Keywords

upper boundasymptotic expansionexponential summean squareVoronoi summation formulaideal counting function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41) Trigonometric and exponential sums (general theory) (11L03) Other analytic theory (11R47)

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THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD

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