Generalized divisor functions in arithmetic progressions: I.

DOI10.1016/j.jnt.2021.03.021zbMath1491.11086OpenAlexW3153879555WikidataQ114157045 ScholiaQ114157045MaRDI QIDQ2039510

David T. Nguyen

Publication date: 5 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.03.021

zbMATH Keywords

Elliott-Halberstam conjectureSiegel-Walfisz theoremBombieri-Vinogradov theoremdivisor functionsequidistribution estimates

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Distribution functions associated with additive and positive multiplicative functions (11N60) Sieves (11N35)

Related Items (2)

Generalized divisor functions in arithmetic progressions: II ⋮ Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus

Cites Work

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• General divisor functions in arithmetic progressions to large moduli
• New equidistribution estimates of Zhang type
• Moments of zeta and correlations of divisor-sums. III.
• Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri
• Primes in arithmetic progressions to large moduli
• Sums of divisor functions in \(\mathbb {F}_q[t\) and matrix integrals]
• The variance of divisor sums in arithmetic progressions
• High moments of the Riemann zeta-function
• Prime values of \(a^2 + p^4\)
• Moments of zeta and correlations of divisor-sums. IV
• Bounded gaps between primes
• Remarks on the generalized Lindelöf hypothesis
• Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen. I
• Moments of Zeta and Correlations of Divisor-Sums: II
• Moments of zeta and correlations of divisor-sums: I
• LOWER BOUNDS FOR THE VARIANCE OF SEQUENCES IN ARITHMETIC PROGRESSIONS: PRIMES AND DIVISOR FUNCTIONS
• An Asymptotic Formula in the Theory of Numbers
• Sur le problème des diviseurs de Titchmarsh.
• The divisor function $d_3(n)$ in arithmetic progressions
• An induction principle for the generalization of Bombieri's prime number theorem
• The Fourth Power Moment of the Riemann Zeta Function
• A Brun-Titschmarsh theorem for multiplicative functions.
• Level of distribution of unbalanced convolutions
• ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION
• On the large sieve
• All large numbers are sums of a prime and two squares (a problem of Hardy and Littlewood) I
• The divisor problem for arithmetic progressions
• Close encounters among the primes

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