Prime Number Races

DOI10.2307/27641834zbMath1139.11037arXivmath/0408319OpenAlexW4229845495WikidataQ30053271 ScholiaQ30053271MaRDI QIDQ5440754

Andrew Granville, Greg Martin

Publication date: 5 February 2008

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408319

zbMATH Keywords

comparative prime number theoryprimes in arithmetic progressionsprime number races

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of primes (11N05) Analytic computations (11Y35)

Related Items (31)

On the average value of ⋮ Omega results for cubic field counts via lower-order terms in the one-level density ⋮ Prime number races with three or more competitors ⋮ On the even distribution of primes mod \(P\) (and why this is not a proof of the Goldbach conjecture) ⋮ Prime Running Functions ⋮ Chebyshev's bias for products of \(k\) primes ⋮ Chebyshev's Bias for Products of Two Primes ⋮ Orderings of weakly correlated random variables, and prime number races with many contestants ⋮ Finding meaning in error terms ⋮ Inequities in the Shanks–Renyi prime number race over function fields ⋮ Products of two proportional primes ⋮ Extreme biases in prime number races with many contestants ⋮ Exceptional biases in counting primes over function fields ⋮ Different approaches to the distribution of primes ⋮ Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes ⋮ Chebyshev's bias for products of irreducible polynomials ⋮ The structure factor of primes ⋮ Residue races of the number of prime divisors function ⋮ Frequencies of Successive Pairs of Prime Residues ⋮ Biases in the prime number race of function fields ⋮ NONZERO VALUES OF DIRICHLET L-FUNCTIONS IN VERTICAL ARITHMETIC PROGRESSIONS ⋮ Average prime-pair counting formula ⋮ Chebyshev's bias in Galois extensions of global function fields ⋮ Chebyshev’s bias for analyticL-functions ⋮ Inclusive prime number races ⋮ Generalized Riemann hypothesis and stochastic time series ⋮ Biased behavior of weighted Mertens sums ⋮ Pretentiousness in analytic number theory ⋮ Generalized Riemann hypothesis, time series and normal distributions ⋮ A note on prime number races and zero free regions for L functions ⋮ Large bias amongst products of two primes

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