A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS

DOI10.1112/S0025579317000092zbMath1427.11094arXiv1603.02890OpenAlexW2296166987MaRDI QIDQ5361225

Ofir Gorodetsky

Publication date: 27 September 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02890

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (6)

Uniform estimates for almost primes over finite fields ⋮ A geometric approach to counting norms in cyclic extensions of function fields ⋮ Variation of a theme of Landau-Shanks in positive characteristic ⋮ Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) ⋮ 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

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• On the function field analogue of Landau's theorem on sums of squares
• A short proof of Darboux's lemma
• Irregularities in the distributions of primes in function fields
• Arithmetical semigroups. V: Multiplicative functions
• Summation of values of multiplicative functions on semigroups
• On counting polynomials over finite fields
• On the 4-rank of ideal class groups of quadratic function fields
• The Number of Real Quadratic Fields Having Units of Negative Norm
• Generators and irreducible polynomials over finite fields
• Strings of Congruent Primes
• The Second-Order Term in the Asymptotic Expansion of B(x)
• Inequalities for Gamma Function Ratios
• Sums of Squares of Polynomials with Coefficients in a Finite Field
• On the negative Pell equation

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