Number of prime ideals in short intervals

DOI10.1016/j.jnt.2016.03.003zbMath1411.11119OpenAlexW2344379544MaRDI QIDQ290064

Tevekkül Mehreliyev, Emre Alkan

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.03.003

zbMATH Keywords

Dedekind zeta functionSiegel zeroprime idealDirichlet \(L\)-functionlinear forms in logarithmsbranch of complex logarithmcyclotomic extensionprimes in a progression

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13) Distribution of prime ideals (11R44) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

Almost all hyperharmonic numbers are not integers ⋮ Unnamed Item

Cites Work

• On the distribution of algebraic primes in small regions
• Explicit relations between pair correlation of zeros and primes in short intervals
• Zeros of partial sums of the Dedekind zeta function of a cyclotomic field
• ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS
• On the distribution of primes in short intervals
• A lower bound for linear forms in logarithms
• Nonvanishing of Fourier coefficients of modular forms
• On the Riemann hypothesis and the difference between primes
• On the Sizes of Gaps in the Fourier Expansion of Modular Forms
• On the order of magnitude of the difference between consecutive prime numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Number of prime ideals in short intervals