Gaps between primes, and the pair correlation of zeros of the zeta-function

DOI10.4064/aa-41-1-85-99zbMath0414.10044OpenAlexW40132115MaRDI QIDQ3048913

D. R. Heath-Brown

Publication date: 1982

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205833

zbMATH Keywords

pair correlationzeros of Riemann zeta-functiondifferences between consecutive primesMontgomery's conjecture

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Distribution of primes (11N05)

Related Items (23)

Large gaps between consecutive prime numbers ⋮ On the function \(S(T)\) in the theory of the Riemann zeta-function ⋮ Unnamed Item ⋮ The prime number theorem and pair correlation of zeros of the Riemann zeta-function ⋮ Long gaps between primes ⋮ ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII ⋮ On primes, almost primes, and the Möbius function in short intervals ⋮ Real zeros of holomorphic Hecke cusp forms ⋮ Almost primes in almost all very short intervals ⋮ PRIMES AND PRIME IDEALS IN SHORT INTERVALS ⋮ Explicit relations between pair correlation of zeros and primes in short intervals ⋮ Prime numbers in logarithmic intervals ⋮ On polynomial-factorial diophantine equations ⋮ Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸ ⋮ On the distribution of imaginary parts of zeros of the Riemann zeta function. II ⋮ Longer Than Average Intervals Containing No Primes ⋮ Prime pairs and the zeta function ⋮ Distribution of Large Gaps Between Primes ⋮ A note on the differences between consecutive primes ⋮ Moments of sifted sequences ⋮ Fourier optimization and prime gaps ⋮ Natürliche Zahlen mit primer Quersumme. (Integers with prime sum of digits) ⋮ The pair correlation of zeros of Dirichlet \(L\)-functions and primes in arithmetic progressions

This page was built for publication: Gaps between primes, and the pair correlation of zeros of the zeta-function