On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient
Fuente:
arXiv
Saved in:
| Main Authors: | Kumar, Narasimha, Sahoo, Satyabrat |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the solutions of $x^p+y^p=2^r z^p$, $x^p+y^p=z^2$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2022)
by: Kumar, Narasimha, et al.
Published: (2022)
Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)
by: Sahoo, Satyabrat, et al.
Published: (2024)
On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2023)
by: Kumar, Narasimha, et al.
Published: (2023)
On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025)
by: Diamond, Fred, et al.
Published: (2025)
An additive problem in the Fourier coefficients of cusp forms
by: Harcos, Gergely
Published: (2001)
by: Harcos, Gergely
Published: (2001)
A central limit theorem for Hilbert modular forms
by: Das, Jishu, et al.
Published: (2023)
by: Das, Jishu, et al.
Published: (2023)
On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)
by: Sahoo, Satyabrat
Published: (2024)
Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
by: Anamby, Pramath, et al.
Published: (2025)
by: Anamby, Pramath, et al.
Published: (2025)
On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms
by: Kumari, Moni, et al.
Published: (2026)
by: Kumari, Moni, et al.
Published: (2026)
Compactifications of Iwahori-level Hilbert modular varieties
by: Diamond, Fred
Published: (2022)
by: Diamond, Fred
Published: (2022)
$L^4$-norms of automorphic forms in the depth aspect
by: Fischer, Marius
Published: (2026)
by: Fischer, Marius
Published: (2026)
Partial weight one modularity for Galois representations associated to mod $p$ Hilbert modular forms
by: Wiersema, Hanneke
Published: (2026)
by: Wiersema, Hanneke
Published: (2026)
The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7
by: van Bommel, Raymond, et al.
Published: (2024)
by: van Bommel, Raymond, et al.
Published: (2024)
Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
by: Banerjee, Debargha, et al.
Published: (2026)
by: Banerjee, Debargha, et al.
Published: (2026)
Determination of Hilbert modular forms using squarefree coefficients
by: Agnihotri, Rishabh, et al.
Published: (2024)
by: Agnihotri, Rishabh, et al.
Published: (2024)
Elliptic curves and Fourier coefficients of meromorphic modular forms
by: Zhang, Pengcheng
Published: (2025)
by: Zhang, Pengcheng
Published: (2025)
A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series
by: Zhu, Xiao-Jie
Published: (2024)
by: Zhu, Xiao-Jie
Published: (2024)
Quantitative level lowering for weight two Hilbert modular forms
by: Moakher, Mohamed
Published: (2024)
by: Moakher, Mohamed
Published: (2024)
Eisenstein points on the Hilbert cuspidal eigenvariety
by: Betina, Adel, et al.
Published: (2023)
by: Betina, Adel, et al.
Published: (2023)
Recursion formulas for the Fourier coefficients of Siegel Eisenstein series of an odd prime level
by: Gunji, Keiichi
Published: (2025)
by: Gunji, Keiichi
Published: (2025)
Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
by: Tsang, Kin Ming
Published: (2024)
by: Tsang, Kin Ming
Published: (2024)
Diagonal cycles and anticyclotomic twists of modular forms at inert primes
by: Marannino, Luca
Published: (2025)
by: Marannino, Luca
Published: (2025)
Modular degree and a conjecture of Watkins
by: Bhakta, Subham, et al.
Published: (2023)
by: Bhakta, Subham, et al.
Published: (2023)
On the surjectivity of Galois representations attached to Drinfeld $A$-modules of rank $2$
by: Kumar, Narasimha, et al.
Published: (2025)
by: Kumar, Narasimha, et al.
Published: (2025)
Fourier coefficients and cuspidality of modular forms: a new approach
by: Das, Soumya
Published: (2024)
by: Das, Soumya
Published: (2024)
l-Adic representations associated to modular forms over imaginary quadratic fields
by: Berger, Tobias, et al.
Published: (2007)
by: Berger, Tobias, et al.
Published: (2007)
The modular approach to Diophantine equations over totally real fields
by: Khawaja, Maleeha, et al.
Published: (2024)
by: Khawaja, Maleeha, et al.
Published: (2024)
Some remarks on strong multiplicity one for paramodular forms
by: Wang, Xiyuan, et al.
Published: (2023)
by: Wang, Xiyuan, et al.
Published: (2023)
Sign changes in Fourier coefficients of the symmetric power $L$-functions on sums of two squares
by: Kaur, Amrinder
Published: (2025)
by: Kaur, Amrinder
Published: (2025)
On obstructions to the Euler system method for Rankin-Selberg convolutions
by: Studnia, Elie
Published: (2024)
by: Studnia, Elie
Published: (2024)
Asymptotic Fermat's Last Theorem for a family of equations of signature $(2, 2n, n)$
by: García, Pedro-José Cazorla
Published: (2024)
by: García, Pedro-José Cazorla
Published: (2024)
Congruence classes for modular forms over small sets
by: Bhakta, Subham, et al.
Published: (2023)
by: Bhakta, Subham, et al.
Published: (2023)
Ordinary primes in Hilbert modular varieties
by: Suh, Junecue
Published: (2024)
by: Suh, Junecue
Published: (2024)
Watkins's conjecture for elliptic curves with a rational torsion
by: Bhakta, Subham, et al.
Published: (2024)
by: Bhakta, Subham, et al.
Published: (2024)
A Fourier-Jacobi Dirichlet series attached to modular forms of $SO(2,4)$
by: Bouganis, Thanasis, et al.
Published: (2025)
by: Bouganis, Thanasis, et al.
Published: (2025)
Twisted L-functions over number fields and Hilbert's eleventh problem
by: Blomer, Valentin, et al.
Published: (2009)
by: Blomer, Valentin, et al.
Published: (2009)
Average shifted convolution sum for $GL(d_1)\times GL(d_2)$
by: Molla, Esrafil Ali
Published: (2025)
by: Molla, Esrafil Ali
Published: (2025)
A note on Fourier coefficients of Hecke eigenforms in short intervals
by: Gun, Sanoli, et al.
Published: (2024)
by: Gun, Sanoli, et al.
Published: (2024)
Low-lying zeros of Hilbert modular $L$-functions weighted by powers of central $L$-values
by: Wei, Zhining, et al.
Published: (2025)
by: Wei, Zhining, et al.
Published: (2025)
On the parity of coefficients of eta powers
by: Charlton, Steven, et al.
Published: (2024)
by: Charlton, Steven, et al.
Published: (2024)
Similar Items
-
On the solutions of $x^p+y^p=2^r z^p$, $x^p+y^p=z^2$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2022) -
Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024) -
On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2023) -
On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025) -
An additive problem in the Fourier coefficients of cusp forms
by: Harcos, Gergely
Published: (2001)