Cover Image

Conjectures on the distribution of roots modulo a prime of a polynomial

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kitaoka, Yoshiyuki
Format:	Preprint
Published:	2019
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Waring problem with Dickson polynomials modulo a prime
by: Shparlinski, Igor E., et al.
Published: (2024)

On the distribution of $αp$ modulo one over Piatetski-Shapiro primes
by: Dimitrov, S. I.
Published: (2020)

The distribution of prime values of random polynomials
by: Kravitz, Noah, et al.
Published: (2025)

On a cyclic structure of generators modulo primes
by: Ch, Srikanth, et al.
Published: (2026)

Additive congruences with factorials modulo a prime
by: Garaev, Moubariz Z., et al.
Published: (2025)

On the distribution of $αp^2$ modulo one over primes of the form $[n^c]$
by: Dimitrov, S. I., et al.
Published: (2025)

On the distribution of $αp^2+β$ modulo one for primes $p$ such that $p+2$ has no more two prime divisors
by: Todorova, T. L.
Published: (2024)

Well-distribution modulo one and the primes
by: Champagne, J., et al.
Published: (2024)

On the distribution of $αp+β$ modulo one for primes of type $p=ar^2+1$
by: Todorova, T.
Published: (2024)

Solutions of a polynomial equation modulo a prime power
by: Bodin, Arnaud, et al.
Published: (2025)

On a polynomial involving quadratic residues modulo primes
by: Sun, Zhi-Wei
Published: (2026)

Limiting density of the Fibonacci sequence modulo powers of a prime
by: Bragman, Nicholas, et al.
Published: (2022)

Matrix Kloosterman sums modulo prime powers
by: Erdélyi, Márton, et al.
Published: (2022)

A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type II
by: Li, Runbo
Published: (2023)

Binary and ternary congruences involving intervals and sets modulo a prime
by: Garaev, Moubariz Z., et al.
Published: (2024)

Periodicity of traces of Hecke operators modulo prime powers
by: Bergström, Jonas, et al.
Published: (2026)

Conjectures for distributions of class groups of extensions of number fields containing roots of unity
by: Sawin, Will, et al.
Published: (2023)

On some arithmetic conditions of recurrent sequences modulo prime p
by: Vyugin, Ilya, et al.
Published: (2026)

Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
by: Zhu, Tengyou
Published: (2026)

Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Shifted bilinear sums of Salié sums and the distribution of modular square roots of shifted primes
by: Shparlinski, Igor E., et al.
Published: (2026)

A new result on the divisor problem in arithmetic progressions modulo a prime power
by: Zhong, Mingxuan, et al.
Published: (2025)

Eisenstein series modulo prime powers
by: Ahlgren, Scott, et al.
Published: (2025)

Wilson's theorem modulo higher prime powers II: Bernoulli numbers and polynomials
by: Kellner, Bernd C.
Published: (2025)

Solutions of polynomial equations in several variables modulo a prime power
by: Bodin, Arnaud, et al.
Published: (2026)

Deterministic polynomial factorisation modulo many primes
by: Altman, Daniel
Published: (2025)

On the largest prime factor of quadratic polynomials
by: Li, Runbo
Published: (2024)

A polynomial with a root mod $p$ for every $p$ has a real root
by: Angelo, Rodrigo, et al.
Published: (2022)

The proportion of $k$-cycles for polynomials modulo primes
by: Root, Jonathan
Published: (2024)

On a polynomial involving roots of unity and its applications
by: Wu, Hai-Liang, et al.
Published: (2020)

Distribution of sums of square roots modulo $1$
by: Iyer, Siddharth
Published: (2024)

The largest prime factor of an irreducible cubic polynomial
by: Ermoshin, Ivan
Published: (2026)

Equidistribution of CM points on a Shimura Curve modulo a ramified prime
by: Saettone, Francesco Maria
Published: (2024)

$q$-Supercongruences for multidimensional series modulo the sixth power of a cyclotomic polynomial
by: Wei, Chuanan
Published: (2024)

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

Exponential sums with polynomials and their applications to primes in sparse sets
by: Guo, Lingyu, et al.
Published: (2025)

Odd moments in the distribution of primes
by: Kuperberg, Vivian
Published: (2021)

Discrepancies in the distribution of Gaussian primes
by: Devin, Lucile
Published: (2021)

Algebraic power series and their automatic complexity modulo prime powers
by: Rowland, Eric, et al.
Published: (2024)

Counting integer polynomials with several roots of maximal modulus
by: Dubickas, Artūras, et al.
Published: (2024)