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Correlation and lower bounds of arithmetic expressions

Fernando Chamizo Acta Arithmetica MSC: Primary 11N37; Secondary 11P21, 11L07 DOI: 10.4064/aa230511-23-9 Published online: 2 April 2024

Abstract

We explore the use of correlation with simple functions to get lower bounds for arithmetic quantities. In particular, we apply this idea to the power moments of the error term when counting visible lattice points in large spheres.

Authors

  • Fernando ChamizoDepartamento de Matemáticas and ICMAT
    Universidad Autónoma de Madrid
    28049 Madrid, Spain
    e-mail

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