Correlations and distribution of essentially bounded functions in short intervals

DOI10.1007/s13370-018-0619-8zbMath1413.11110OpenAlexW2888017592MaRDI QIDQ1715785

Maurizio Laporta, Giovanni Coppola

Publication date: 29 January 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0619-8

zbMATH Keywords

correlationsshort intervalsarithmetic functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

• Unnamed Item
• Unnamed Item
• Finite Ramanujan expansions and shifted convolution sums of arithmetical functions
• On the correlations, Selberg integral and symmetry of sieve functions in short intervals. III.
• On the error term in a Parseval type formula in the theory of Ramanujan expansions. II.
• On the mean square of the divisor function in short intervals
• Bilinear forms with Kloosterman fractions
• Symmetry and short interval mean-squares
• Generations of correlation averages
• Sieve functions in arithmetic bands
• On Bombieri and Davenport's theorem concerning small gaps between primes
• A generalization of Gallagher's lemma for exponential sums
• Divisor Problems and the Pair Correlation for the Fractional Parts of n2
• Ramanujan-Fourier series and a theorem of Ingham
• Sieve functions in arithmetic bands. II

This page was built for publication: Correlations and distribution of essentially bounded functions in short intervals