A summation formula in algebraic number fields and applications. I

DOI10.1016/0022-314X(90)90004-BzbMath0759.11041MaRDI QIDQ1813406

Ulrich Rausch

Publication date: 25 June 1992

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

zbMATH Keywords

summation formulasum-of-divisors functionPiltz's divisor problemSiegel's summation formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other analytic theory (11R47)

Related Items (2)

Mean values of Hecke polynomials ⋮ On the least primitive root in number fields

Cites Work

• Unnamed Item
• On the Phragmén-Lindelöf theorem and some applications
• Geometrische Reihen in algebraischen Zahlkörpern
• Einige Anwendungen der Siegelschen Summenformel
• On the Expression of a Number as the Sum of Two Squares in Totally Real Algebraic Number Fields
• Mittelwerte Arithmetischer Funktionen In Zahlkorpern
• Mittelwert der Eulerschen \(\varphi\)-Funktion und des Quadrates der Dirichletschen Teilerfunktion in algebraischen Zahlkörpern

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