Výsledky vyhľadávania - "Goldston, D A"

The prime number theorem and pair correlation of zeros of the Riemann zeta-function Autor Goldston, D. A., Suriajaya, Ade Irma

“…We prove that the error in the prime number theorem can be quantitatively improved beyond the Riemann Hypothesis bound by using versions of Montgomery’s…”
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The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function Autor Goldston, D A, Ade, Irma Suriajaya

“…We prove that the error in the prime number theorem can be quantitatively improved beyond the Riemann Hypothesis bound by using versions of Montgomery's…”
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On an Average Goldbach Representation Formula of Fujii Autor Goldston, D A, Ade, Irma Suriajaya

“…Fujii obtained a formula for the average number of Goldbach representations with lower order terms expressed as a sum over the zeros of the Riemann…”
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A singular series average and the zeros of the Riemann zeta-function Autor Goldston, D A, Ade, Irma Suriajaya

“…We show that the Riesz mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures has an asymptotic formula with an error term…”
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On the L1 norm of an exponential sum involving the divisor function Autor Goldston, D. A., Pandey, M.

“…In this paper, we obtain bounds on the L 1 -norm of the sum ∑ n ≤ x τ ( n ) e ( α n ) where τ ( n ) is the divisor function…”
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On the $$L^1$$ L 1 norm of an exponential sum involving the divisor function Autor Goldston, D. A., Pandey, M.

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On the L 1 norm of an exponential sum involving the divisor function Autor Goldston, D A, Pandey, M

“…In this paper, we obtain bounds on the L1-norm of the sum ∑n≤xτ(n)e(αn) where τ(n) is the divisor function…”
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Exceptional zeros and the Goldbach problem Autor Friedlander, J.B., Goldston, D.A., Iwaniec, H., Suriajaya, A.I.

“…We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of…”
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The jumping champion conjecture Autor Goldston, D A, Ledoan, A H

“…An integer \(d\) is called a jumping champion for a given \(x\) if \(d\) is the most common gap between consecutive primes up to \(x\). Occasionally several…”
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A note on S(t) and the zeros of the Riemann zeta-function Autor Goldston, D. A., Gonek, S. M.

“…Let π S(t) denote the argument of the Riemann zeta-function at the point 1/2 + it. Assuming the Riemann hypothesis, we sharpen the constant in the best…”
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ON THE PAIR CORRELATION OF ZEROS OF THE RIEMANN ZETA-FUNCTION Autor GOLDSTON, D. A., GONEK, S. M., ÖZLÜK, A. E., SNYDER, C.

“…To study the distribution of pairs of zeros of the Riemann zeta-function, Montgomery introduced the function $$ F(\alpha) = F_T(\alpha) = \left({T\over…”
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Small gaps between products of two primes Autor Goldston, D. A., Graham, S. W., Pintz, J., Y ld r m, C. Y.

“…Let qn denote the nth number that is a product of exactly two distinct primes. We prove that qn+1 − qn ≤ 6 infinitely often. This sharpens an earlier result of…”
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Corrigendum: Small gaps between products of two primes Autor Goldston, D. A., Graham, S. W., Pintz, J., Yıldırım, C. Y.

“…We correct a mistake in the proof of Theorem 1 of the paper in the title…”
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Higher correlations of divisor sums related to primes II: variations of the error term in the prime number theorem Autor Goldston, D. A., Yildirim, C. Y.

“…We calculate the triple correlations for the truncated divisor sum λR(n). The λR(n) behave over certain averages just as the prime counting von Mangoldt…”
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Higher correlations of divisor sums related to primes III: small gaps between primes Autor Goldston, D. A., Y ld r m, C. Y.

“…We use divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able…”
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A note on S( t ) and the zeros of the Riemann zeta-function: D. A. GOLDSTON AND S. M. GONEK Autor Goldston, D. A., Gonek, S. M.

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Note on the Goldbach Conjecture and Landau-Siegel Zeros Autor Goldston, D A, Ade, Irma Suriajaya

“…We generalize the work of Fei, Bhowmik and Halupczok, and Jia relating the Goldbach conjecture to real zeros of Dirichlet \(L\)-functions…”
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The error term in the Ces\`{a}ro mean of the prime pair singular series Autor Goldston, D A, Ade, Irma Suriajaya

“…We show that the error term in the asymptotic formula for the Ces{à}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair…”
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A note on small gaps between zeros of the Riemann zeta-function Autor Goldston, D A, Turnage-Butterbaugh, C L

“…Assuming the Riemann Hypothesis, we improve on previous results by proving there are infinitely many zeros of the Riemann zeta-function whose differences are…”
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On the \(L^1\) norm of an exponential sum involving the divisor function Autor Goldston, D A, Pandey, M

“…In this paper, we obtain bounds on the \(L^1\) norm of the sum \(\sum_{n\le x}\tau(n) e(\alpha n)\) where \(\tau(n)\) is the divisor function…”
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