Triple correlations of ternary divisor functions. II

DOI10.1142/s1793042123500744zbMath1528.11098OpenAlexW4321015226MaRDI QIDQ6110501

Miao Lou

Publication date: 1 August 2023

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

Full work available at URL: https://doi.org/10.1142/s1793042123500744

zbMATH Keywords

circle methodasymptotic formuladivisor functiontriple correlation

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55) Exponential sums (11T23)

Cites Work

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• The divisor problem for binary cubic forms
• An averaged form of Chowla's conjecture
• Sur la corrélation des fonctions de Piltz. (On the correlation of Piltz' divisor functions)
• On double shifted convolution sum of \(\mathrm{SL}(2, \mathbb{Z})\) Hecke eigenforms
• On triple correlations of Fourier coefficients of cusp forms
• Triple correlations of ternary divisor functions
• High moments of the Riemann zeta-function
• The fourth moment of individual Dirichlet \(L\)-functions on the critical line
• Fourier uniformity of bounded multiplicative functions in short intervals on average
• Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges
• A large sieve density estimate near \(\sigma = 1\)
• THE SHIFTED CONVOLUTION OF DIVISOR FUNCTIONS
• Averages of shifted convolutions ofd₃(n)
• An Asymptotic Formula in the Theory of Numbers
• An Additive Divisor Problem
• The Fourth Power Moment of the Riemann Zeta Function
• The binary additive divisor problem
• On a certain additive divisor problem
• Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
• Discorrelation Between Primes in Short Intervals and Polynomial Phases
• The Shifted Convolution of Generalized Divisor Functions
• On triple correlations of divisor functions
• Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method
• On triple correlations of Fourier coefficients of cusp forms. II

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