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Currently displaying 1 – 11 of 11

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Hilbert's inequality and the large sieve

Hugh MONTGOMERY

Seminaire de Théorie des Nombres de Bordeaux

Corrélations dans l'ensemble des zéros de la fonction zêta

Hugh MONTGOMERY

Seminaire de Théorie des Nombres de Bordeaux

An exponential polynomial formed with the Legendre symbol

Hugh Montgomery — 1980

Acta Arithmetica

Prime-like sequences

Hugh Montgomery — 1988

Acta Arithmetica

Large deviations of sums of independent random variables

Hugh Montgomery; Andrew Odlyzko — 1988

Acta Arithmetica

Polynomials in many variables

Hugh L. Montgomery

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Extreme values of the Riemann zeta function.

Hugh L. Montgomery — 1977

Commentarii mathematici Helvetici

A note on rearrangements of Fourier coefficients

Hugh L. Montgomery — 1976

Annales de l'institut Fourier

Let $f (x) \sim Σ a_{n} e^{2 π i n x}, f * (x) \sim \sum_{n = 0}^{\infty} a *_{n} \cos 2 π n x$ , where the $a *_{n}$ are the numbers $| a_{n} |$ rearranged so that $a_{n}^{*} ↘ 0$ . Then for any convex increasing $ψ$ , $∥ ψ (| f |^{2} ∥_{1} \leq ∥ ψ (20 | f * |^{2} ∥_{1}$ . The special case $ψ (t) = t^{q / 2}$ , $q \geq 2$ , gives $∥ f ∥_{q} \leq 5 ∥ f * ∥_{q}$ an equivalent of Littlewood.

Real Quadratic Fields with Large Class Number.

Hugh L. Montgomery; Peter J. Weinberger — 1977

Mathematische Annalen

Estimation Optimale de sommes Exponentielles

Harald Niederreiter; Hugh L. Montgomery — 1977

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Geometric properties of the zeta function

Hugh L. Montgomery; John G. Thompson — 2012

Acta Arithmetica

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