Primes in prime number races

DOI10.1090/proc/14569zbMath1473.11177arXiv1809.03033OpenAlexW3101713027MaRDI QIDQ5233953

Jared Duker Lichtman, Greg Martin, Carl B. Pomerance

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03033

zbMATH Keywords

Chebyshev's biaslimiting distributionlogarithmic densityprimitive sequenceprime number raceprimitive setMertens product formula

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05)

Related Items (4)

A proof of the Erdős primitive set conjecture ⋮ Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes ⋮ Almost primes and the Banks-Martin conjecture ⋮ Sums over primitive sets with a fixed number of prime factors

Cites Work

• Unnamed Item
• On a conjecture of Erdős on the sum \(\sum_{p\leq n}1/(p\,\log \,p)\)
• Importance sampling for a Markov modulated queuing network
• On the normal density of primes in short intervals
• LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY
• Primes in short arithmetic progressions
• Upper Bound of ∑1/(a i loga i ) for Primitive Sequences
• The large sieve
• The Erdős conjecture for primitive sets
• An analytic method for bounding 𝜓(𝑥)
• Chebyshev's Bias
• Inequities in the Shanks–Rényi prime number race: An asymptotic formula for the densities
• A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$
• A bias in Mertens’ product formula
• On the difference between consecutive primes

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