Fourier optimization and prime gaps

DOI10.4171/CMH/467zbMath1429.42001arXiv1708.04122OpenAlexW2749290691MaRDI QIDQ2337230

Emanuel Carneiro, Micah B. Milinovich, Kannan Soundararajan

Publication date: 19 November 2019

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04122

zbMATH Keywords

Riemann hypothesisbandlimited functionsprime gapsFourier uncertainty

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Approximation by other special function classes (41A30) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (18)

Bounds for Zeta and Primes via Fourier Analysis ⋮ Unnamed Item ⋮ A conditional explicit result for the prime number theorem in short intervals ⋮ Explicit interval estimates for prime numbers ⋮ On the 𝑞-analogue of the Pair Correlation Conjecture via Fourier optimization ⋮ Topological properties and algebraic independence of sets of prime‐representing constants ⋮ CYCLOTOMIC POLYNOMIALS WITH PRESCRIBED HEIGHT AND PRIME NUMBER THEORY ⋮ Generalized sign Fourier uncertainty ⋮ On the error term in the explicit formula of Riemann–von Mangoldt ⋮ The sequence of prime gaps is graphic ⋮ Primes between consecutive powers ⋮ Pair correlation estimates for the zeros of the zeta function via semidefinite programming ⋮ Estimates of the asymptotic Nikolskii constants for spherical polynomials ⋮ On regularity and mass concentration phenomena for the sign uncertainty principle ⋮ Primes in arithmetic progressions and semidefinite programming ⋮ Unnamed Item ⋮ Distribution of Large Gaps Between Primes ⋮ Variants on Andrica's conjecture with and without the Riemann hypothesis

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