Cover Image

Burgess-type character sum estimates over generalized arithmetic progressions of rank $2$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alsetri, Ali, Shao, Xuancheng
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11L40, 11B30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Burgess‐type character sum estimates over generalized arithmetic progressions of rank 2
by: Ali Alsetri, et al.
Published: (2026)

Burgess-Type Bounds for Character Sums over $\mathbb{F}_{p^n}$
by: Chattopadhyay, Aishik
Published: (2026)

Mixed incomplete character sums of rational functions with smooth moduli
by: Cochrane, Todd, et al.
Published: (2026)

Higher uniformity of arithmetic functions in short intervals I. All intervals
by: Matomäki, Kaisa, et al.
Published: (2022)

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
by: Matomäki, Kaisa, et al.
Published: (2024)

Modified Dirichlet character sums over the $k$-free integers
by: Bueno, Caio
Published: (2024)

Bounds for moments of quadratic Dirichlet character sums
by: Gao, Peng, et al.
Published: (2024)

Distribution of sums involving Dirichlet characters over the $k$-free integers
by: Bueno, Caio
Published: (2026)

On the correlations between character sums of division polynomials under shifts
by: Bhakta, Subham, et al.
Published: (2025)

Additive energies of subsets of discrete cubes
by: Shao, Xuancheng
Published: (2024)

Average first-passage times for character sums
by: Tang, Quanyu, et al.
Published: (2025)

On Artin's conjecture on average and short character sums
by: Klurman, Oleksiy, et al.
Published: (2024)

Explicit Burgess inequalities for cubefree moduli
by: Hasanalizade, Elchin, et al.
Published: (2025)

A large sieve inequality for characters to quadratic moduli
by: Corrigan, C. C.
Published: (2024)

Sign changes of short character sums and real zeros of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2024)

The level of distribution of the sum-of-digits function in arithmetic progressions
by: Toumi, Nathan
Published: (2025)

A note on bilinear sums with modular square roots
by: Baier, Stephan
Published: (2026)

Roth-type Theorem for high-power system in Piatetski-Shapiro primes (II)
by: Ren, Xiumin, et al.
Published: (2024)

The denominators of power sums of arithmetic progressions
by: Kellner, Bernd C., et al.
Published: (2017)

On quadratic character sums over quartics
by: Nica, Bogdan
Published: (2025)

On zero-sum free sequences contained in random subsets of finite cyclic groups
by: Lee, Sang June, et al.
Published: (2020)

Bounds for moments of quadratic character sums and theta functions
by: Munsch, Marc, et al.
Published: (2025)

Exponential sums twisted by general arithmetic functions
by: Dong, Anji, et al.
Published: (2024)

Quartic Gauss sums over primes and metaplectic theta functions
by: David, Chantal, et al.
Published: (2023)

Multiple sums with the Möbius function
by: Banks, William D., et al.
Published: (2025)

Character sums to prime power moduli evaluated at binary quadratic forms
by: Baier, Stephan, et al.
Published: (2025)

Mixed character sums modulo prime powers
by: Cochrane, Todd, et al.
Published: (2026)

Multiple exponential sums and their applications to quadratic congruences
by: Bag, Nilanjan, et al.
Published: (2023)

Short sums of trace functions over function fields and their applications
by: Sawin, Will, et al.
Published: (2025)

An estimate for incomplete mixed character sums and applications
by: Mazumder, Arpan Chandra, et al.
Published: (2026)

Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
by: Kim, Seoyoung, et al.
Published: (2023)

Norm-trace and Kloosterman sums in finite semi-simple algebras
by: Wan, Daqing
Published: (2026)

Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$
by: Adegoke, Kunle, et al.
Published: (2024)

Large values of shifted mixed character sums
by: Tardy, Néo
Published: (2026)

An improved large sieve for quadratic characters via Hooley neutralisers and its applications
by: Wilson, Cameron
Published: (2025)

On sums involving powers of harmonic numbers
by: Tin, Lo Ho
Published: (2025)

Bias in cubic Gauss sums: Patterson's conjecture
by: Dunn, Alexander, et al.
Published: (2021)

Zeros of $L$-functions and large partial sums of Dirichlet coefficients
by: Kerr, Bryce, et al.
Published: (2024)

The Fibonacci Zeta Function and Continuation
by: Assaf, Eran, et al.
Published: (2024)

A Short Character Sum in $\mathbb{F}_{p^3}$
by: Chattopadhyay, Aishik
Published: (2025)