Cover Image

Almost No Finite Subset of Integers Contains a $q^{th}$ Power Modulo Almost Every Prime

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Mishra, Bhawesh
Format:	Preprint
Published:	2023
Subjects:	Number Theory 11A15, 11A07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Generalization of the Grunwald-Wang Theorem for $n^{th}$ Powers
by: Mishra, Bhawesh
Published: (2024)

Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors
by: Mishra, Bhawesh, et al.
Published: (2025)

Polynomials with factors of the form $(x^q-a)$ with roots modulo every integer
by: Mishra, Bhawesh
Published: (2024)

Primes with small primitive roots
by: Ford, Kevin, et al.
Published: (2024)

Prime Power Residues and Blocking Sets
by: Mishra, Bhawesh, et al.
Published: (2025)

Almost prime numbers
by: Hakobyan, Tigran
Published: (2026)

On some determinants and permanents
by: Sun, Zhi-Wei
Published: (2022)

On the Weakly Prime-Additive Numbers with Length 4
by: Leung, Wing Hong
Published: (2019)

Good Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding Theory
by: Jitman, Somphong, et al.
Published: (2026)

On some conjectural determinants of Sun involving residues
by: Chaliha, Rituparna, et al.
Published: (2024)

Good Integers: A Concise Completion of the Non-Coprime Case
by: Jitman, Somphong
Published: (2025)

On an Erdős-type conjecture on $\mathbb{F}_q[x]$
by: Wang, Rongyin
Published: (2024)

Differences of squares of upper-triangular $2\times 2$ integer matrices
by: Dujella, Andrej, et al.
Published: (2026)

Discrete restrictions from Laurent monomial systems for multiple Dirichlet series
by: Hua, Shenghao
Published: (2025)

A Fixed-Prime Criterion for Reciprocals in Missing-Digit Sets
by: Kominers, Scott Duke
Published: (2026)

Powers in prime bases and a problem on central binomial coefficients
by: Holdum, Sebastian Tim, et al.
Published: (2026)

On the Sum of a Prime and a Number that is not Square-Free
by: Lee, Ethan S., et al.
Published: (2026)

On the Number of Regular Integers Modulo $n$ and Its Significance for Cryptography
by: Dohmen, Klaus, et al.
Published: (2023)

On $p$-adic congruences involving $\sqrt d$
by: Jiang, Bo, et al.
Published: (2025)

Mordell--Tornheim Zeta Values, Their Alternating Version, and Their Finite Analogs
by: Wang, Crystal, et al.
Published: (2024)

The Frobenius problem for shifted square sequences starting with a multiple of 4
by: Song, Kyunghwan
Published: (2026)

A Flanking Pattern in a Sum-of-Divisors Congruence
by: Kominers, Scott Duke
Published: (2025)

Some Generalizations of Totient Function with Elementary Symmetric Sums
by: Acharjee, Udvas, et al.
Published: (2025)

Hybrid bounds for prime divisors
by: Bagger, Gustav Kjærbye
Published: (2024)

Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)
by: Shvets, Alex
Published: (2026)

Cubic congruences and binary quadratic forms
by: Sun, Zhi-Hong
Published: (2025)

Elliptic curves and the residue-counts of $x^2+bx+c/x$ modulo $p$
by: Sun, Zhi-Hong
Published: (2024)

Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients
by: Otmani, Yassine, et al.
Published: (2025)

On the reciprocity law in $\mathbb{F}_{q}[t]$
by: Hu, Su, et al.
Published: (2026)

Covering systems where the prime divisors of all moduli are only $2$, $3$, or $5$
by: Harrington, Joshua, et al.
Published: (2026)

A further investigation on covering systems with odd moduli
by: Bispels, Chris, et al.
Published: (2025)

Generalized Sierpiński and Riesel numbers of the form $tb^t+α$
by: Evans, Hailey, et al.
Published: (2025)

Covering systems with odd moduli
by: Harrington, Joshua, et al.
Published: (2021)

A Complete Congruence System for the Erdos-Straus Conjecture
by: Lopez, Miguel Angel
Published: (2024)

Structure and form of the solutions of the Erdos-Straus conjecture
by: Lopez, Miguel Angel
Published: (2022)

On a Smoothed Dirichlet Divisor Problem
by: Bordellès, Olivier, et al.
Published: (2026)

Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$
by: Sun, Zhi-Wei
Published: (2022)

Primitive-Root Ratio over Prime Fields: A Shifted-Prime Distribution of Hausdorff Dimension Zero and Implications for PRIM-LWE
by: Sehrawat, Vipin Singh
Published: (2026)

Simultaneous Periods for Families of Rational Maps Modulo Primes
by: Mishra, Bhawesh
Published: (2026)

The Linear Slicing Method for Equal Sums of Like Powers: Modular and Geometric Constraints
by: Asiryan, Valery
Published: (2025)