Cover Image

Integrality of a trigonometric determinant arising from a conjecture of Sun

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gao, Liwen, Guo, Xuejun
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

Inequalities for $ζ(s)-ψ(1-s)$ related to a conjecture of Henry
by: Gao, Liwen, et al.
Published: (2026)

Trigonometric Determinants via special values of Dirichlet $L$-Functions
by: Gao, Liwen, et al.
Published: (2025)

Two determinant evaluations in Sun's conjectures involving Legendre symbols
by: Yang, Yaoran, et al.
Published: (2026)

On two congruence conjectures of Z.-W. Sun involving Franel numbers
by: Mao, Guo-Shuai, et al.
Published: (2021)

A trigonometric approach to an identity by Ramanujan
by: Vignat, C.
Published: (2026)

CM points, class numbers, and the Mahler measures of $x^3+y^3+1-kxy$
by: Tao, Zhengyu, et al.
Published: (2023)

A new trigonometric identity with applications
by: Sun, Zhi-Wei, et al.
Published: (2019)

On restricted sums of four squares and Zhi-Wei Sun's $x+24y$ conjecture
by: Wu, Hai-Liang, et al.
Published: (2025)

A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
by: Li, Jie, et al.
Published: (2024)

On some determinant conjectures
by: Zhu, Ze-Hua, et al.
Published: (2024)

Central $L$ values of congruent number elliptic curves
by: Guo, Xuejun, et al.
Published: (2025)

Mahler measures and $L$-values of elliptic curves over real quadratic fields
by: Tao, Zhengyu, et al.
Published: (2022)

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias
by: Lin, Chen, et al.
Published: (2024)

On a generalization of Watson's trigonometric sum (on Dowker's sum of order one half)
by: Blagouchine, Iaroslav V.
Published: (2024)

Twists arising from torsion points
by: Novak, Lukas
Published: (2025)

On the cyclotomic field $\mathbb{Q}(e^{2π{\bf i}/p})$ and Zhi-Wei Sun's conjecture on $\det M_p$
by: Wang, Li-Yuan, et al.
Published: (2024)

Supercongruences arising from Ramanujan-Sato Series
by: Babei, Angelica, et al.
Published: (2024)

Structure of Hecke algebras arising from types
by: Adler, Jeffrey D., et al.
Published: (2024)

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

Integral filtered Sen theory and applications
by: Gao, Hui, et al.
Published: (2024)

On a conjecture of Goldmakher
by: Mangerel, Alexander P.
Published: (2026)

On a conjecture of Deines
by: Melistas, Mentzelos
Published: (2026)

Diophantine estimates on shifts of trigonometric polynomials on $\mathbb{T}^d$
by: Shi, Yunfeng, et al.
Published: (2023)

Almost-primes in Sun's $x^2+ny^2$ conjecture
by: Han, Songlin, et al.
Published: (2026)

Evaluations and relations for finite trigonometric sums
by: Berndt, Bruce C., et al.
Published: (2024)

Some identities on degenerate trigonometric functions
by: Kim, Taekyun, et al.
Published: (2024)

Some Structures arising from the Farey Fractal
by: Haran, Shai
Published: (2025)

Three integers arising from Bézout's identity and resultants of integer polynomials
by: Liu, Zhiqian, et al.
Published: (2025)

The distribution of lattices arising from orders in low degree number fields
by: Vemulapalli, Sameera
Published: (2024)

Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture
by: Guo, Victor Z., et al.
Published: (2022)

Isolated $j$-invariants arising from the modular curve $X_0(n)$
by: Lee, Meghan
Published: (2025)

On a conjecture of Krukenberg and a problem of Dalton and Trifonov
by: Klein, Jonah
Published: (2025)

Note on a conjecture of Sárközy on special sequences
by: Ding, Yuchen, et al.
Published: (2025)

Applying hypersurface bounds to a conjecture by Carlet
by: Gemmell, Zoë, et al.
Published: (2025)

On patched completed homology and a conjecture of Venkatesh
by: Molin, Douglas
Published: (2024)

Disproving a weaker form of Hooley's conjecture
by: Hayani, Mounir
Published: (2024)

On some determinants arising from quadratic residues
by: Ren, Chen-Kai, et al.
Published: (2024)

Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
by: Charan, Mrityunjoy, et al.
Published: (2025)

Zhi-Wei Sun's 1-3-5 Conjecture and Variations
by: Machiavelo, António, et al.
Published: (2020)

Spherical functions of symmetric forms and a conjecture of Hironaka
by: Corato-Zanarella, Murilo
Published: (2023)