Primes representable by polynomials and the lower bound of the least primes in arithmetic progressions

DOI10.1007/BF02107961zbMath0719.11058OpenAlexW2312684427MaRDI QIDQ5750957

Tian Xin Cai

Publication date: 1990

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107961

zbMATH Keywords

primes represented by quadratic polynomialsExtended Riemann Hypothesisleast prime in the residue classsieve upper bound estimates

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Primes in congruence classes (11N13) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (1)

An additive function on a ring of integers in the imaginary quadratic field Q(√d) with class-number one

Cites Work

• Unnamed Item
• On the A-dependence of the linear sieve with application to polynomial sequences
• Über die kleinste Primzahl einer arithmetischen Reihe.
• The least prime in an arithmetic progression with prime difference.
• Remark on the paper of K. Prachar „Über die kleinste Primzahl einer arithmetischen Reihe“.
• On the Sum ∑k=1xd(f(k))

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