Cover Image

The variance of the number of sums of two squares in $\mathbb{F}_q[T]$ in short intervals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gorodetsky, Ofir, Rodgers, Brad
Format:	Preprint
Published:	2018
Subjects:	Number Theory Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Squarefrees are Gaussian in short intervals
by: Gorodetsky, Ofir, et al.
Published: (2021)

Traces of powers of matrices over finite fields
by: Gorodetsky, Ofir, et al.
Published: (2019)

On the variance of squarefree integers in short intervals and arithmetic progressions
by: Gorodetsky, Ofir, et al.
Published: (2020)

The variance of integers without small prime factors in short intervals
by: Gorodetsky, Ofir
Published: (2021)

Chebotarev density theorem in short intervals for extensions of $\mathbb{F}_q(T)$
by: Bary-Soroker, Lior, et al.
Published: (2018)

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor
by: Gorodetsky, Ofir, et al.
Published: (2023)

High and odd moments in the Erdős--Kac theorem
by: Gorodetsky, Ofir
Published: (2024)

Correlation of arithmetic functions over $\mathbb{F}_q[T]$
by: Gorodetsky, Ofir, et al.
Published: (2018)

On the limiting distribution of sums of random multiplicative functions
by: Gorodetsky, Ofir, et al.
Published: (2025)

Multiplicative arithmetic functions and the generalized Ewens measure
by: Elboim, Dor, et al.
Published: (2019)

On an Erdős--Kac-type conjecture of Elliott
by: Gorodetsky, Ofir, et al.
Published: (2023)

Sums of two squares are strongly biased towards quadratic residues
by: Gorodetsky, Ofir
Published: (2021)

Multiplicative chaos measure for multiplicative functions: the $L^1$-regime
by: Gorodetsky, Ofir, et al.
Published: (2025)

Martingale central limit theorem for random multiplicative functions
by: Gorodetsky, Ofir, et al.
Published: (2024)

Partial sums of typical multiplicative functions over short moving intervals
by: Pandey, Mayank, et al.
Published: (2022)

Magic squares, the symmetric group and Möbius randomness
by: Gorodetsky, Ofir
Published: (2021)

The VC-dimension of random subsets of finite groups
by: Rodgers, Brad, et al.
Published: (2025)

On convergence of points to limiting processes, with an application to zeta zeros
by: de Reyna, Juan Arias, et al.
Published: (2023)

A short proof of Helson's conjecture
by: Gorodetsky, Ofir, et al.
Published: (2024)

On the distribution of very short character sums
by: Nosal, Paweł
Published: (2025)

Almost sure asymptotics for the number variance of dilations of integer sequences
by: Aistleitner, Christoph, et al.
Published: (2025)

On Erdős sums of almost primes
by: Gorodetsky, Ofir, et al.
Published: (2023)

Smooth integers and de Bruijn's approximation $Λ$
by: Gorodetsky, Ofir
Published: (2022)

A polynomial analogue of Landau's theorem and related problems
by: Gorodetsky, Ofir
Published: (2016)

New representations for all sporadic Apéry-like sequences, with applications to congruences
by: Gorodetsky, Ofir
Published: (2021)

Smooth integers and the Dickman $ρ$ function
by: Gorodetsky, Ofir
Published: (2022)

Smooth permutations and polynomials revisited
by: Gorodetsky, Ofir
Published: (2022)

Asymptotic formula for the sum of a prime and a square-full number in short intervals
by: Ogihara, Fumi, et al.
Published: (2024)

Harper's beyond square-root conjecture
by: Wang, Victor Y., et al.
Published: (2024)

Average sizes of mixed character sums
by: Wang, Victor Y., et al.
Published: (2024)

A lattice point counting approach for the study of the number of self-avoiding walks on $\mathbb{Z}^{d}$
by: Lazar, Youssef
Published: (2025)

Poisson-Dirichlet approximation for counting integers with divisors in an interval
by: Haddad, Tony
Published: (2025)

On the positivity of some weighted partial sums of a random multiplicative function
by: Aymone, Marco
Published: (2024)

Sign changes of the partial sums of a random multiplicative function II
by: Aymone, Marco
Published: (2023)

The martingale evolution of probability measures defined via the sum-of-digits functions
by: Tarłowski, Dawid
Published: (2026)

Almost sure bounds for weighted sums of Rademacher random multiplicative functions
by: Atherfold, Christopher
Published: (2025)

Moments of random multiplicative functions, III: A short review
by: Harper, Adam J.
Published: (2024)

Sign changes of the partial sums of a random multiplicative function III: Average
by: Aymone, Marco
Published: (2024)

On the expected number of roots of a random Dirichlet polynomial
by: Aymone, Marco, et al.
Published: (2024)

Asymptotic formula for the sum of a prime and a square-full number in short intervals shorter than $X^{1/2}$
by: Ogihara, Fumi
Published: (2025)