Symmetry and short interval mean-squares

DOI10.1134/S0081543817080041zbMath1418.11134arXiv1312.5701OpenAlexW1487984557MaRDI QIDQ1661307

Maurizio Laporta, Giovanni Coppola

Publication date: 16 August 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5701

zbMATH Keywords

Cesaro weightweighted Selberg integral

Mathematics Subject Classification ID

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

Related Items (2)

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. II. ⋮ Correlations and distribution of essentially bounded functions in short intervals

Cites Work

• On the correlations, Selberg integral and symmetry of sieve functions in short intervals. III.
• On the mean square of the divisor function in short intervals
• On the distribution of primes in short intervals
• Bilinear forms with Kloosterman fractions
• Generations of correlation averages
• On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals
• Sieve functions in arithmetic bands
• A generalization of Gallagher's lemma for exponential sums
• On the symmetry of the divisor function in almost all short intervals
• On the Selberg integral of the k-divisor function and the 2k-th moment of the Riemann zeta-function
• On the difference between consecutive primes
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