The least inert prime in a real quadratic field

DOI10.1090/S0025-5718-2012-02579-8zbMath1269.11126OpenAlexW2060887461MaRDI QIDQ2894534

Enrique Treviño

Publication date: 29 June 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02579-8

zbMATH Keywords

character sumsquadratic fieldsPólya-Vinogradov inequality

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Estimates on character sums (11L40)

Related Items

The least quadratic non-residue ⋮ Explicit bounds for products of primes in AP ⋮ Product of primes in arithmetic progressions

Cites Work

• Approximate formulas for some functions of prime numbers
• On Character Sums and Primitive Roots^†
• Explicit Bounds for Primality Testing and Related Problems
• An Upper Bound on the Least Inert Prime in a Real Quadratic Field
• Some results on pseudosquares
• Fixed Points for Discrete Logarithms
• Sieving for Pseudosquares and Pseudocubes in Parallel Using Doubly-Focused Enumeration and Wheel Datastructures
• Numbers with small prime factors, and the least 𝑘th power non-residue
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