Products involving the real parts of Jacobi sums and related cyclotomic matrices
Fuente:
arXiv
Saved in:
| Main Authors: | Wu, Hai-Liang, Ji, Xiao-Han |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
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)
On cyclotomic matrices related to Kloosterman sums over finite fields
by: Wu, Hai-Liang
Published: (2026)
by: Wu, Hai-Liang
Published: (2026)
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)
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums
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)
Gaussian hypergeometric functions and cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2024)
by: Wu, Hai-Liang, et al.
Published: (2024)
On generalized Legendre matrices involving roots of unity over finite fields
by: Wei, Ning-Liu, et al.
Published: (2023)
by: Wei, Ning-Liu, et al.
Published: (2023)
Trinomial coefficients and related matrices over finite fields
by: She, Yue-Feng, et al.
Published: (2022)
by: She, Yue-Feng, et al.
Published: (2022)
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)
by: Wang, Li-Yuan, et al.
Published: (2024)
Elliptic curves over $\mathbb{F}_p$ and determinants of Legendre matrices
by: Wu, Hai-Liang
Published: (2020)
by: Wu, Hai-Liang
Published: (2020)
A characterization of Jacobi sums
by: Snowden, Andrew
Published: (2024)
by: Snowden, Andrew
Published: (2024)
Note on a sum involving the divisor function
by: Wu, Liuying
Published: (2025)
by: Wu, Liuying
Published: (2025)
Jacobsthal sums and permutations of biquadratic residues
by: Wu, Hai-Liang, et al.
Published: (2020)
by: Wu, Hai-Liang, et al.
Published: (2020)
On a polynomial involving roots of unity and its applications
by: Wu, Hai-Liang, et al.
Published: (2020)
by: Wu, Hai-Liang, et al.
Published: (2020)
Quadratic residues and related permutations
by: Wu, Hai-Liang
Published: (2019)
by: Wu, Hai-Liang
Published: (2019)
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 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)
Motivic Gauss and Jacobi sums
by: Otsubo, Noriyuki, et al.
Published: (2024)
by: Otsubo, Noriyuki, et al.
Published: (2024)
On sumsets involving $k$th powers of finite fields
by: Wu, Hai-Liang, et al.
Published: (2023)
by: Wu, Hai-Liang, et al.
Published: (2023)
Integers that are sums of two cubes in the cyclotomic $\mathbb{Z}_p$-extension
by: Ray, Anwesh
Published: (2024)
by: Ray, Anwesh
Published: (2024)
Cyclotomic matrices and hypergeometric functions over finite fields
by: Wu, Hai-Liang, et al.
Published: (2021)
by: Wu, Hai-Liang, et al.
Published: (2021)
Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49
by: Ansari, Ishrat Jahan, et al.
Published: (2025)
by: Ansari, Ishrat Jahan, et al.
Published: (2025)
Iwasawa module of the cyclotomic $\mathbb{Z}_{2}$-extension of certain real quadratic fields
by: Avila, Josue
Published: (2024)
by: Avila, Josue
Published: (2024)
Bases for some modules of cyclotomic units
by: Souanef, Rafik
Published: (2024)
by: Souanef, Rafik
Published: (2024)
A note on quadratic cyclotomic extensions
by: Marques, Sophie, et al.
Published: (2022)
by: Marques, Sophie, et al.
Published: (2022)
Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
by: Sahoo, Satyabrat
Published: (2026)
by: Sahoo, Satyabrat
Published: (2026)
Solutions to some sign change problems on the functions involving sums of divisors
by: Ding, Yuchen, et al.
Published: (2024)
by: Ding, Yuchen, et al.
Published: (2024)
Anti-cyclotomic Euler system of diagonal cycles
by: Lai, Shilin, et al.
Published: (2024)
by: Lai, Shilin, et al.
Published: (2024)
Dimension of the deformation space of ordinary representations in the cyclotomic limit
by: Burungale, Ashay A., et al.
Published: (2024)
by: Burungale, Ashay A., et al.
Published: (2024)
On the cyclotomic Iwasawa invariants of elliptic curves of rank one
by: Chnaras, Foivos
Published: (2025)
by: Chnaras, Foivos
Published: (2025)
Triple convolution sums of the generalised divisor functions and related sums over primes
by: Misra, Bikram, et al.
Published: (2025)
by: Misra, Bikram, et al.
Published: (2025)
On the discrete mean square of certain hybrid sum involving $a_{\mathbb{K}}(n)$
by: Soni, Ekta, et al.
Published: (2026)
by: Soni, Ekta, et al.
Published: (2026)
Modular Nahm sums for symmetrizable matrices of indices $({2,\ldots, 2},1)$ and $({1,\ldots, 1},2)$
by: Du, Julia Q. D., et al.
Published: (2026)
by: Du, Julia Q. D., et al.
Published: (2026)
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)
Shifted bilinear sums of Salié sums and the distribution of modular square roots of shifted primes
by: Shparlinski, Igor E., et al.
Published: (2026)
by: Shparlinski, Igor E., et al.
Published: (2026)
Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case
by: Chen, Cheng, et al.
Published: (2026)
by: Chen, Cheng, et al.
Published: (2026)
Generation of Hecke fields by squares of cyclotomic twists of modular $L$-values
by: Blomer, Valentin, et al.
Published: (2025)
by: Blomer, Valentin, et al.
Published: (2025)
Upper bounds for analytic ranks of elliptic curves over cyclotomic fields
by: Dasgupta, Agniva, et al.
Published: (2025)
by: Dasgupta, Agniva, et al.
Published: (2025)
Similar Items
-
On $p$-th cyclotomic field and cyclotomic matrices involving Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2025) -
On new identities of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2025) -
On cyclotomic matrices related to Kloosterman sums over finite fields
by: Wu, Hai-Liang
Published: (2026) -
On cyclotomic matrices involving Gauss sums over finite fields
by: Wu, Hai-Liang, et al.
Published: (2024) -
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2024)