Explicit interval estimates for prime numbers (Q5082042)

scientific article; zbMATH DE number 7541897

Language	Label	Description	Also known as
English	Explicit interval estimates for prime numbers	scientific article; zbMATH DE number 7541897

Statements

instance of

scholarly article

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title

Explicit interval estimates for prime numbers (English)

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author

Michaela Cully-Hugill

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Ethan Simpson Lee

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published in

Mathematics of Computation

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publication date

15 June 2022

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full work available at URL

https://arxiv.org/abs/2103.05986

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zbMATH Keywords

primes in short intervals

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Bertrand's postulate

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describes a project that uses

LMFDB

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MaRDI profile type

MaRDI publication profile

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cites work

New estimates for some functions defined over primes

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The Difference Between Consecutive Primes, II

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Accurate estimation of sums over zeros of the Riemann zeta-function

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Sharper bounds for the Chebyshev function 𝜃(𝑥)

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Fourier optimization and prime gaps

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On fractionally dense sets

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Estimates for the Chebyshev Function ψ(x) - θ(x)

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Q4936154

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Q3237237

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A Stronger Bertrand's Postulate with an Application to Partitions

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Addendum to "A Stronger Bertrand's Postulate with an Application to Partitions"

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On the Riemann hypothesis and the difference between primes

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An explicit result for primes between cubes

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Primes in explicit short intervals on RH

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Primes in the interval [2n,3n]

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Zero-free regions for the Riemann zeta function

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Counting zeros of Dedekind zeta functions

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Q2969748

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Bertrand’s postulate for number fields

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Short effective intervals containing primes

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Explicit zero density for the Riemann zeta function

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On an explicit zero-free region for the Dedekind zeta-function

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On the difference π(x) - li(x)

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On the Primes in the Interval [3n, 4n]

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The large sieve

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Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function

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On the interval containing at least one prime number

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Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸

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The Riemann hypothesis is true up to 3·1012

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An improved explicit bound on $| \zeta(\frac{1}{2} + i t) |$

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The error term in the prime number theorem

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Short effective intervals containing primes

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Approximate formulas for some functions of prime numbers

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Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II

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On intervals (kn,(k+1)n) containing a prime for all n>1

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Explicit zero density estimate for the Riemann zeta-function near the critical line

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Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces

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On the finiteness of solutions for polynomial-factorial Diophantine equations

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Improvements to Turing’s method

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An improved upper bound for the argument of the Riemann zeta-function on the critical line. II

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An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions

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Q3276744

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Identifiers

zbMATH Open document ID

1504.11133

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DOI

10.1090/mcom/3719

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5082042