SUMS OF TWO SQUARES — PAIR CORRELATION AND DISTRIBUTION IN SHORT INTERVALS

DOI10.1142/S1793042113500516zbMath1331.11026arXiv1208.2419OpenAlexW3103309167MaRDI QIDQ2866994

Yotam Smilansky

Publication date: 10 December 2013

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

Full work available at URL: https://arxiv.org/abs/1208.2419

zbMATH Keywords

pair correlationsums of two squaresMertens product

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) (zeta (s)) and (L(s, chi)) (11M06) Density, gaps, topology (11B05)

Related Items (3)

Lemke Oliver and Soundararajan bias for consecutive sums of two squares ⋮ Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals]

Cites Work

• A note on Mertens' formula for arithmetic progressions
• On the distribution of primes in short intervals
• Two-point spectral correlations for the square billiard

This page was built for publication: SUMS OF TWO SQUARES — PAIR CORRELATION AND DISTRIBUTION IN SHORT INTERVALS