On the function field analogue of Landau's theorem on sums of squares

DOI10.1016/J.FFA.2016.01.012zbMath1347.11085arXiv1504.06809OpenAlexW2964162621MaRDI QIDQ268493

Lior Bary-Soroker, Yotam Smilansky, Adva Wolf

Publication date: 15 April 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06809

zbMATH Keywords

polynomials over finite fieldsanalogue of sums of two squares

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (10)

Sums of divisor functions and von Mangoldt convolutions in \(\mathbb{F}_q [T\) leading to symplectic distributions] ⋮ The variance of a restricted sum-of-squares function over short intervals in \(\mathbb{F}_q [t\)] ⋮ A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS ⋮ A geometric approach to counting norms in cyclic extensions of function fields ⋮ Variation of a theme of Landau-Shanks in positive characteristic ⋮ An explicit polynomial analogue of Romanoff's theorem ⋮ Angles of Gaussian primes ⋮ 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

• Sums of squares over function fields
• The ubiquitous Ewens sampling formula
• Automorphic forms and sums of squares over function fields.
• The sampling theory of selectively neutral alleles
• Addendum to a paper of W. Ewens
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