Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields

DOI10.1093/imrn/rnx250zbMath1468.11198arXiv1701.04092OpenAlexW2963020257MaRDI QIDQ5855167

Lior Bary-Soroker, Arno Fehm

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04092

zbMATH Keywords

function fieldsum of two squarescorrelations of arithmetic functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (3)

Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions ⋮ Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) ⋮ Lemke Oliver and Soundararajan bias for consecutive sums of two squares

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the function field analogue of Landau's theorem on sums of squares
• On the representation of a number as the sum of two squares and a prime
• \(L\)-functions of twisted Legendre curves
• A hybrid Euler-Hadamard product for the Riemann zeta function
• Consecutive triples of sums of two squares
• Squarefree values of multivariable polynomials
• Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers
• High moments of the Riemann zeta-function
• Prime polynomial values of linear functions in short intervals
• Moments of zeta and correlations of divisor-sums. IV
• On the intervals between numbers that are sums of two squares
• Über B-Zwillinge
• Über B-Zwillinge. II
• On the intervals between numbers that are sums of two squares. II
• Arithmetic Correlations Over Large Finite Fields
• SUMS OF TWO SQUARES — PAIR CORRELATION AND DISTRIBUTION IN SHORT INTERVALS
• The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
• THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD
• Shifted convolution and the Titchmarsh divisor problem over 𝔽_q[t]
• The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2
• Scharfe untere Abschätzung für die Anzahlfunktion der B-Zwillinge
• A polynomial analogue of the twin prime conjecture
• An asymptotic formula for B-twins
• The half dimensional sieve
• Two-point spectral correlations for the square billiard
• On the intervals between numbers that are sums of two squares: IV.
• An Asymptotic Formula in the Theory of Numbers
• A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS
• Some problems in analytic number theory for polynomials over a finite field
• On the distribution of prime numbers which are of the form $x^2 + y^2 +1$
• Primes of the type φ(x, y)+A where φ is a quadratic form
• On the distribution of prime numbers which are of the form “x2+y2+1”
• Uniform Distribution of Polynomials Over Finite Fields

This page was built for publication: Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields