Cover Image

Exponential sums over primes are unbounded

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Bazin, Pierre-Alexandre
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exponential sums over integers without large prime divisors
by: Drappeau, Sary, et al.
Published: (2024)

Irreducibility of random polynomials of $\mathbb{Z}[X]$
by: Bazin, Pierre-Alexandre
Published: (2024)

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

On certain sums over primes and the Riesz function
by: Patkowski, Alexander E.
Published: (2025)

Bounded Exponential Sums with Multiplicative Coefficients
by: Bazin, Pierre-Alexandre, et al.
Published: (2025)

Triple convolution sums of the generalised divisor functions and related sums over primes
by: Misra, Bikram, et al.
Published: (2025)

Exponential sums over Möbius convolutions with applications to partitions
by: Basak, Debmalya, et al.
Published: (2023)

Exponential sums over singular binary quartic forms and applications
by: Ishitsuka, Yasuhiro, et al.
Published: (2024)

On a sum of the error term of the Dirichlet divisor function over primes
by: Guo, Zhen, et al.
Published: (2024)

On sums of finite subsets of the primes
by: Zhao, Genheng
Published: (2025)

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

Sum of short exponential sums with prime numbers
by: Rakhmonov, Firuz
Published: (2025)

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

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

Real exponential sums over primes and prime gaps
by: Ferreira, Luan Alberto
Published: (2023)

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

Improvements on exponential sums related to Piatetski-Shapiro primes
by: Lu, Li, et al.
Published: (2025)

Exponential sums over small subgroups, revisited
by: Kowalski, Emmanuel
Published: (2024)

More on the sum-product problem for integers with few prime factors
by: Agrawal, Rishika, et al.
Published: (2025)

$p$-adic valuation of harmonic sums and their connections with Wolstenholme primes
by: Carofiglio, Leonardo, et al.
Published: (2023)

Bounds for moments of quadratic Dirichlet character sums of prime moduli
by: Zhao, Yuetong
Published: (2024)

The sum-product problem for integers with few prime factors
by: Hanson, Brandon, et al.
Published: (2023)

A large integer is a sum of two prime avoiding numbers
by: Radomskii, Artyom
Published: (2022)

Congruence properties of prime sums and Bernoulli polynomials
by: Pain, Jean-Christophe
Published: (2025)

On integers with many representations as the sum of $k$th powers of primes
by: Aggarwal, Anay
Published: (2025)

Barban-Davenport-Halberstam type theorems for exponential sums and Piatetski-Shapiro primes
by: Dimitrov, S. I.
Published: (2024)

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

Missing digits and sums of two prime squares
by: Sabuncu, Cihan
Published: (2026)

Asymptotic equivalents of partial sums of the reciprocals of prime numbers via the von Mangoldt function
by: Pain, Jean-Christophe
Published: (2025)

On subradically sifted sums related to Alladi's higher order duality between prime factors
by: Alamoudi, Yazan
Published: (2026)

On the representation of large even integers as the sum of eight primes from positive density sets
by: Gao, Meng
Published: (2024)

On certain sums involving the largest prime factor over integer sequences
by: Bouderbala, Mihoub
Published: (2025)

Exponential sums over singular binary quintics
by: Ishitsuka, Yasuhiro
Published: (2026)

Log-free bounds on exponential sums over primes
by: Srivastav, Priyamvad
Published: (2025)

Problems 66 and 67 on sums of residue classes and primes of András Sárközy's collection of unsolved problems
by: Ding, Yuchen, et al.
Published: (2025)

The asymptotic distribution of Elkies primes for reductions of abelian varieties is Gaussian
by: Benoist, Alexandre, et al.
Published: (2024)

On a multiplicative hybrid problem over almost-primes
by: Zhao, Yuetong, et al.
Published: (2024)

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

Sums of values of non-principal characters over shifted primes
by: Rakhmonov, Zarullo
Published: (2024)

Superspecial primes for QM abelian surfaces over real number fields
by: Chen, Fangu
Published: (2025)