On the cyclotomic field $\mathbb{Q}(e^{2π{\bf i}/p})$ and Zhi-Wei Sun's conjecture on $\det M_p$
Fuente:
arXiv
Saved in:
| Main Authors: | Wang, Li-Yuan, Wu, Hai-Liang |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
by: Li, Jie, et al.
Published: (2024)
by: Li, Jie, et al.
Published: (2024)
On restricted sums of four squares and Zhi-Wei Sun's $x+24y$ conjecture
by: Wu, Hai-Liang, et al.
Published: (2025)
by: Wu, Hai-Liang, et al.
Published: (2025)
On $p$-th cyclotomic field and cyclotomic matrices involving Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2025)
by: Wu, Hai-Liang, et al.
Published: (2025)
Zhi-Wei Sun's 1-3-5 Conjecture and Variations
by: Machiavelo, António, et al.
Published: (2020)
by: Machiavelo, António, et al.
Published: (2020)
Gaussian hypergeometric functions and cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2024)
by: Wu, Hai-Liang, et al.
Published: (2024)
The Pell sequence and cyclotomic matrices involving squares over finite fields
by: Wu, Hai-Liang, et al.
Published: (2025)
by: Wu, Hai-Liang, et al.
Published: (2025)
On cyclotomic matrices involving Gauss sums over finite fields
by: Wu, Hai-Liang, et al.
Published: (2024)
by: Wu, Hai-Liang, et al.
Published: (2024)
On cyclotomic matrices related to Kloosterman sums over finite fields
by: Wu, Hai-Liang
Published: (2026)
by: Wu, Hai-Liang
Published: (2026)
Elliptic curves over $\mathbb{F}_p$ and determinants of Legendre matrices
by: Wu, Hai-Liang
Published: (2020)
by: Wu, Hai-Liang
Published: (2020)
On new identities of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2025)
by: Wu, Hai-Liang, et al.
Published: (2025)
Generation of cyclotomic Hecke fields by $L$-values of cusp forms on $\mathrm{GL}(2)$ with certain $\mathbb{Z}_p$ twist
by: Kwon, Jaesung
Published: (2024)
by: Kwon, Jaesung
Published: (2024)
The compositional inverses of permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$
by: Wu, Danyao, et al.
Published: (2024)
by: Wu, Danyao, et al.
Published: (2024)
Torsion of elliptic curves over $\mathbb{Q}_p$ with good reduction in cyclotomic extensions
by: Ozeki, Yoshiyasu, et al.
Published: (2025)
by: Ozeki, Yoshiyasu, et al.
Published: (2025)
Products involving the real parts of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2026)
by: Wu, Hai-Liang, et al.
Published: (2026)
Integers that are sums of two cubes in the cyclotomic $\mathbb{Z}_p$-extension
by: Ray, Anwesh
Published: (2024)
by: Ray, Anwesh
Published: (2024)
On the Hilbert $2$-class field towers of some cyclotomic $\mathbb{Z}_2$-extensions
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2020)
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2020)
On the $p$-divisibility of even $K$-groups of the ring of integers of a cyclotomic field
by: Lim, Meng Fai
Published: (2023)
by: Lim, Meng Fai
Published: (2023)
On some mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$
by: Hu, Yongquan, et al.
Published: (2022)
by: Hu, Yongquan, et al.
Published: (2022)
Initial layer of the anti-cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-m})$ and capitulation phenomenon
by: Gras, Georges
Published: (2024)
by: Gras, Georges
Published: (2024)
Geometric translations of $(φ,Γ)$-modules for $\mathrm{GL}_2(\mathbb{Q}_p)$
by: Wu, Zhixiang
Published: (2024)
by: Wu, Zhixiang
Published: (2024)
Iwasawa module of the cyclotomic $\mathbb{Z}_{2}$-extension of certain real quadratic fields
by: Avila, Josue
Published: (2024)
by: Avila, Josue
Published: (2024)
Cyclotomy, cyclotomic cosets and arithmetic properties of some families in $\frac{\mathbb{F}_l[x]}{\langle x^{p^sq^t}-1\rangle}$
by: Zhou, Juncheng, et al.
Published: (2025)
by: Zhou, Juncheng, et al.
Published: (2025)
Moduli stacks of Galois representations and the $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$
by: Johansson, Christian, et al.
Published: (2024)
by: Johansson, Christian, et al.
Published: (2024)
Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
by: Sahoo, Satyabrat
Published: (2026)
by: Sahoo, Satyabrat
Published: (2026)
$p$-adic Hodge parameters in the crystabelline representations of $\mathrm{GL}_3(\mathbb{Q}_p)$
by: Ding, Yiwen
Published: (2024)
by: Ding, Yiwen
Published: (2024)
Towards the wall-crossing of locally $\mathbb{Q}_p$-analytic representations of $\mathrm{GL}_n(K)$ for a $p$-adic field $K$
by: Ding, Yiwen
Published: (2024)
by: Ding, Yiwen
Published: (2024)
On the classicality theorem and its applications to the automorphy lifting theorem and the Breuil-M$\mathrm{\acute{e}}$zard conjecture in some $\mathrm{GL}_2(\mathbb{Q}_{p^2})$ cases
by: Matsumoto, Kojiro
Published: (2025)
by: Matsumoto, Kojiro
Published: (2025)
On the Iwasawa $λ$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
by: Ávila, Josué, et al.
Published: (2026)
by: Ávila, Josué, et al.
Published: (2026)
The local converse theorem for $Mp_{2n}$ : the generic case
by: Haan, Jaeho
Published: (2022)
by: Haan, Jaeho
Published: (2022)
On finite field analogues of determinants involving the Beta function
by: Wu, Hai-Liang, et al.
Published: (2023)
by: Wu, Hai-Liang, et al.
Published: (2023)
The Igusa Zeta function of restricted power series over $\mathbb{Q}_p$
by: Dausy, Leonie
Published: (2025)
by: Dausy, Leonie
Published: (2025)
On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2024)
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2024)
A note on extensions of $p$-adic representations of $\mathrm{GL}_2(\mathbb{Q}_p)$
by: Banerjee, Debargha, et al.
Published: (2026)
by: Banerjee, Debargha, et al.
Published: (2026)
Cyclotomic matrices and hypergeometric functions over finite fields
by: Wu, Hai-Liang, et al.
Published: (2021)
by: Wu, Hai-Liang, et al.
Published: (2021)
Inertial Types of Elliptic Curves Over $\mathbb{Q}_{p^{2}}$
by: Castro-Moreno, Jose, et al.
Published: (2025)
by: Castro-Moreno, Jose, et al.
Published: (2025)
Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values
by: Jarossay, David
Published: (2015)
by: Jarossay, David
Published: (2015)
On non-commutative Euler systems, I: preliminaries on `det' and `Fit'
by: Burns, David, et al.
Published: (2020)
by: Burns, David, et al.
Published: (2020)
Simple Iwasawa modules with large canonical dimension of quaternion algebra over $\mathbb{Q}_p$
by: Fu, Weibo
Published: (2025)
by: Fu, Weibo
Published: (2025)
The Fourier-Jacobi Periods : The case of $Mp(2n+2r) \times Sp(2n)$
by: Haan, Jaeho
Published: (2022)
by: Haan, Jaeho
Published: (2022)
On Iwasawa's class number formula for $\mathbb{Z}_p\rtimes\mathbb{Z}_p$-extensions
by: Tateno, Sohei
Published: (2017)
by: Tateno, Sohei
Published: (2017)
Similar Items
-
A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
by: Li, Jie, et al.
Published: (2024) -
On restricted sums of four squares and Zhi-Wei Sun's $x+24y$ conjecture
by: Wu, Hai-Liang, et al.
Published: (2025) -
On $p$-th cyclotomic field and cyclotomic matrices involving Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2025) -
Zhi-Wei Sun's 1-3-5 Conjecture and Variations
by: Machiavelo, António, et al.
Published: (2020) -
Gaussian hypergeometric functions and cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2024)