Artin's conjecture for primitive roots

DOI10.1007/BF03023749zbMath0656.10044WikidataQ123190270 ScholiaQ123190270MaRDI QIDQ1109816

M. Ram Murty

Publication date: 1988

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesArtin's conjecturedensityasymptotic formulaRiemann hypothesisprimitive rootexpository articleDedekind zeta-functions

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Distribution of integers in special residue classes (11N69) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45)

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Cites Work

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• Around the Bombieri-Vinogradov theorem
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• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• Rosser's sieve
• A new form of the error term in the linear sieve
• Counting Points Modulo p for some Finitely Generated Subgroups of Algebraic Groups
• Primitive points on elliptic curves
• Primes of the type φ(x, y)+A where φ is a quadratic form
• On Artin's conjecture.
• Primes in arithmetic progressions