PRIMES AND PRIME IDEALS IN SHORT INTERVALS

DOI10.1112/S0025579316000310zbMath1404.11113arXiv1602.02906OpenAlexW2267439521MaRDI QIDQ5361209

Loïc Grenié, Giuseppe Molteni, Alberto Perelli

Publication date: 27 September 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02906

zbMATH Keywords

primesprime idealsRiemann hypothesisarithemtic progressionCramer's short intervals theorem

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of prime ideals (11R44)

Related Items (7)

Primes in short intervals on curves over finite fields ⋮ Explicit short intervals for primes in arithmetic progressions on GRH ⋮ Unnamed Item ⋮ Dedekind harmonic numbers ⋮ Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory ⋮ Primes in arithmetic progressions and semidefinite programming ⋮ A note on standard zero-free regions for Rankin–Selberg $L$-functions

Cites Work

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• Explicit zero density theorems for Dedekind zeta functions
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• On Siegel zeros of Hecke-Landau zeta-functions
• The exceptional set for the number of primes in short intervals
• On the zeta function of number fields
• Explicit smoothed prime ideals theorems under GRH
• Primes in explicit short intervals on RH
• Gaps between primes, and the pair correlation of zeros of the zeta-function
• The large sieve
• Primes in Short Segments of Arithmetic Progressions
• On the Riemann hypothesis and the difference between primes
• ON THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES

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