Cover Image

An estimate for incomplete mixed character sums and applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mazumder, Arpan Chandra, Kapetanakis, Giorgos, Kala, Sushant, Basnet, Dhiren Kumar
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11T30, 11T23, 12E20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Primitive normal pairs of elements with one prescribed trace
by: Mazumder, Arpan Chandra, et al.
Published: (2023)

Primitive normal Values of rational functions with one prescribed norm and trace over finite fields
by: Mazumder, Arpan Chandra, et al.
Published: (2024)

Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields
by: Mazumder, Arpan Chandra, et al.
Published: (2025)

Existence of Special Types Primitive Pairs in Finite Fields Avoiding Affine Hyperplanes
by: Hazarika, Himangshu, et al.
Published: (2024)

On existence of primitive normal elements of rational form over finite fields of even characteristic
by: Hazarika, Himangshu, et al.
Published: (2020)

Primitive normal pairs with prescribed traces over finite fields
by: Nath, Shikhamoni, et al.
Published: (2024)

Translates of completely normal elements and the Morgan-Mullen conjecture
by: Garefalakis, Theodoulos, et al.
Published: (2025)

Primitive pairs of rational functions with prescribed traces over finite fields
by: Nath, Shikhamoni, et al.
Published: (2024)

$\mathbb{F}_q$-primitive points on varieties over finite fields
by: Takshak, Soniya, et al.
Published: (2024)

Existence of primitive normal pairs over finite fields with prescribed subtrace
by: Chatterjee, K., et al.
Published: (2024)

On the Sum of Additive Characters and its Applications over Finite Fields
by: K., Maithri, et al.
Published: (2025)

Normal points on Artin-Schreier curves over finite fields
by: Kapetanakis, Giorgos, et al.
Published: (2024)

Arithmetic progression in a finite field with prescribed norms
by: Chatterjee, Kaustav, et al.
Published: (2024)

Even better sums of squares over quintic and cyclotomic fields
by: Kala, Vítězslav, et al.
Published: (2024)

On $r$-primitive $k$-normal polynomials with two prescribed coefficients
by: Sharma, Avnish K., et al.
Published: (2024)

A primitive normal pair with prescribed prenorm
by: Chatterjee, K., et al.
Published: (2024)

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed
by: Chatterjee, K., et al.
Published: (2025)

Universal quadratic forms and Dedekind zeta functions
by: Kala, Vítězslav, et al.
Published: (2023)

Even universal sums of triangular numbers
by: Ju, Jangwon
Published: (2024)

Existence of primitive k-normal elements for critical values over finite fields
by: Aguirre, Josimar J. R., et al.
Published: (2025)

On Kummer characters arising from Galois actions on the pro-$p$ fundamental groups of once-punctured CM elliptic curves
by: Ishii, Shun
Published: (2023)

Universality criterion sets for quadratic forms over number fields
by: Kala, Vitezslav, et al.
Published: (2024)

Regular ternary sums of generalized polygonal numbers
by: Kim, Mingyu
Published: (2026)

Universality lifting from a general base field
by: Kala, Vitezslav, et al.
Published: (2024)

Orthomorphism Polynomials of degree $7$ over finite fields
by: Kousik, Bhitali, et al.
Published: (2025)

Kitaoka's Conjecture for quadratic fields
by: Kala, Vitezslav, et al.
Published: (2025)

Real quadratic fields with a universal quadratic form of given rank have density zero
by: Kala, Vitezslav, et al.
Published: (2023)

Sums of squares of integers from residue classes
by: Kim, Daejun
Published: (2025)

On Widmer's criteria for the Northcott property
by: Checcoli, Sara, et al.
Published: (2024)

Unitary discriminants of characters
by: Nebe, Gabriele
Published: (2024)

Most totally real fields do not have universal forms or Northcott property
by: Daans, Nicolas, et al.
Published: (2024)

Sails for universal quadratic forms
by: Kala, Vítězslav, et al.
Published: (2024)

Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)

Mayer--Vietoris sequences for complexes of tori
by: Linh, Nguyen Manh
Published: (2025)

On the distribution of shapes of pure quartic number fields
by: Das, Sudipa, et al.
Published: (2025)

Rational points on ellipsoids and modular forms
by: Burrin, Claire, et al.
Published: (2024)

Non-abelian amplification and bilinear forms with Kloosterman sums
by: Pascadi, Alexandru
Published: (2025)

Universal sums of generalized polygonal numbers of almost prime length
by: Banerjee, Soumyarup, et al.
Published: (2026)

Dynamical structure of AGM over finite fields with order congruent to 5 mod 8
by: Vargas, Daniel A. N.
Published: (2025)

Universal quadratic forms and indecomposables in number fields: A survey
by: Kala, Vítězslav
Published: (2023)