A note on Artin's conjecture in algebraic number fields

DOI10.1016/0022-314X(86)90015-6zbMath0582.10031OpenAlexW2073426893WikidataQ123116679 ScholiaQ123116679MaRDI QIDQ1068884

Juergen G. Hinz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90015-6

zbMATH Keywords

additive charactertotally positive integersArtin's conjecture in algebraic number fieldsEuler phi-function in algebraic number fieldslarge sieve in algebraic number fieldsprimitive root modulo prime ideal

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Algebraic number theory: global fields (11R99) Sieves (11N35) Totally real fields (11R80)

Cites Work

• Unnamed Item
• Some applications of sieve methods in algebraic number fields
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• Average version of Artin's conjecture in an algebraic number field
• On Artin's conjecture and Euclid's algorithm in global fields
• On the large sieve method in algebraic number fields
• Some applications of Montgomery's sieve
• Eine Erweiterung des nullstellenfreien Bereiches der Heckeschen Zetafunktion und Primideale in Idealklassen
• Sieving by prime powers
• The large sieve
• The large sieve inequality for algebraic number fields
• Artin's conjecture on the average
• A Note on the Large Sieve

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