Cover Image

The exceptional set for Diophantine inequality with mixed powers of primes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fu, Yu, Fu, Linzhu, Hu, Liqun
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Diophantine approximation with mixed powers of Piatetski-Shapiro primes
by: Dimitrov, S. I.
Published: (2025)

A pair of Goldbach-Linnik equations in unlike powers of primes and powers of two
by: Hu, Liqun, et al.
Published: (2024)

A Diophantine inequality involving different powers of primes of the form $[n^c]$
by: Dimitrov, S. I.
Published: (2026)

A Diophantine inequality with five squares of Piatetski-Shapiro primes
by: Dimitrov, S. I.
Published: (2026)

On a system of two Diophantine inequalities with six prime variables
by: Long, Linji, et al.
Published: (2025)

Representing integers as sums of mixed powers of primes
by: Andrade, Geovane Matheus Lemes, et al.
Published: (2025)

On the exceptional set in the $abc$ conjecture
by: Li, Runbo
Published: (2025)

Intrinsic Diophantine approximation by rationals of height with a bounded number of distinct prime factors
by: Daviaud, Edouard
Published: (2026)

On sums of unequal powers of primes and powers of 2
by: Liu, Yuhui
Published: (2023)

The exceptional set of Goldbach problem and Linnik's constant
by: Zhao, Genheng
Published: (2025)

Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals
by: Li, Runbo
Published: (2024)

On Gaussian primes in sparse sets
by: Merikoski, Jori
Published: (2023)

Diophantine equations over the generalized Fibonacci sequences: exploring sums of powers
by: Alvarenga, Roberto, et al.
Published: (2025)

Metric results of the intersection of sets in Diophantine approximation
by: Tian, Chen, et al.
Published: (2025)

Hausdorff dimension of some exceptional sets in Lüroth expansions
by: Wang, Ao, et al.
Published: (2024)

Sums of eight fourth power of primes
by: Qu, Yang, et al.
Published: (2025)

The distribution of powers of primes related to the Frobenius problem
by: Huang, Enxun, et al.
Published: (2024)

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

Exceptional characters and prime numbers in sparse sets
by: Merikoski, Jori
Published: (2021)

Hausdorff measure and Fourier dimensions of limsup sets arising in weighted and multiplicative Diophantine approximation
by: He, Yubin
Published: (2025)

Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
by: Gambini, Alessandro
Published: (2017)

Hausdorff dimension of intersections between the Jarník sets and Diophantine fractals
by: Takahasi, Hiroki
Published: (2025)

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

Isolated points on modular curves of prime-power level
by: Calger, Chris
Published: (2025)

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

Arbitrarily long strings of consecutive primes in special sets
by: Balakrishnan, Sai Sanjeev, et al.
Published: (2023)

Erdős inequality for primitive sets
by: Kucheriaviy, Petr
Published: (2024)

Bounded gaps and perfect power gaps in sequences of consecutive primes
by: Gyarmati, Katalin
Published: (2026)

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

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

On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets
by: Gao, Meng, et al.
Published: (2026)

A quantitative bound on Furstenberg-Sárközy patterns with shifted prime power common differences in primes
by: Wang, Mengdi
Published: (2021)

Divisibility of character values of the symmetric group by prime powers
by: Peluse, Sarah, et al.
Published: (2023)

On the spectrum of Diophantine exponents of lattices
by: German, Oleg N.
Published: (2026)

Metric Diophantine approximation on fractals
by: Wyatt, James
Published: (2025)

A Generalization of Diophantine Tuples
by: Gu, Zijie
Published: (2025)

On uniform Diophantine exponents of lattices
by: German, Oleg N.
Published: (2025)

Rational torsion of generalised Drinfeld modular Jacobians of prime power level
by: Curcó-Iranzo, Mar
Published: (2024)

Subconvex bound for Rankin-Selberg $L$-functions in prime power level
by: Ghosh, Aritra
Published: (2024)

Modular curves of prime-power level with infinitely many quadratic points
by: Cerchia, Michael, et al.
Published: (2025)