The variance of a restricted sum-of-squares function over short intervals in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">[</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">]</mml:mo></mml:math>-Reference-Cited by-同舟云学术

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The variance of a restricted sum-of-squares function over short intervals in Fq[T]

Published:2024-02 Issue: Volume:255 Page:188-229
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Yiasemides Michael^ORCID

Funder

University of Exeter

Leverhulme Trust

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference15 articles.

1. On the function field analogue of Landau's theorem on sums of squares;Bary-Soroker;Finite Fields Appl.,2016

2. Restricted divisor sums;Broughan;Acta Arith.,2002

3. Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication;Cox,2013

4. The Variance of Sums of Arithmetic Functions;Gorodetsky,2021

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