Cover Image

Shortest nonzero lattice points in a totally real multi-quadratic number field and applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Das, Jishu
Format:	Preprint
Published:	2024
Subjects:	Number Theory Primary:11F41, 11R21, Secondary: 11F60, 11P21
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Consecutive pure fields of the form $\mathbb{Q}\left(\sqrt[l]{a}\right)$ with large class numbers
by: Das, Jishu, et al.
Published: (2025)

A central limit theorem for Hilbert modular forms
by: Das, Jishu, et al.
Published: (2023)

Integrality of Hecke eigenvalues and the growth of Hecke fields
by: Sakugawa, Kenji, et al.
Published: (2024)

Simultaneous visibility in the algebraic lattice
by: Kumar, Rishi, et al.
Published: (2026)

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

Evaluating lattice sums via telescoping on $SL_+(2,\mathbb Z)$: a short proof of $\sum \frac{1}{|x|^2|y|^2|x+y|^2}=\fracπ{4}$ and Zagier's identity
by: Kalinin, Nikita
Published: (2024)

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)

A discrepancy result for Hilbert modular forms
by: Balasubramanyam, Baskar, et al.
Published: (2023)

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)

On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)

(Algebraic) $ p $-adic Artin formalism of twisted triple product Galois representations over real quadratic fields
by: Das, Bhargab, et al.
Published: (2025)

Eisenstein points on the Hilbert cuspidal eigenvariety
by: Betina, Adel, et al.
Published: (2023)

Lattice points on determinant surfaces and the spectrum of the automorphic Laplacian
by: Ganguly, Satadal, et al.
Published: (2024)

Twisted L-functions over number fields and Hilbert's eleventh problem
by: Blomer, Valentin, et al.
Published: (2009)

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)

A lower bound for the discrepancy in a Sato-Tate type measure
by: Das, Jishu
Published: (2023)

The Harris-Venkatesh conjecture for derived Hecke operators III: local constants
by: Zhang, Robin
Published: (2023)

On characterization of Monogenic number fields associated with certain quadrinomials and its applications
by: Chatterjee, Tapas, et al.
Published: (2024)

On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient
by: Kumar, Narasimha, et al.
Published: (2021)

l-Adic representations associated to modular forms over imaginary quadratic fields
by: Berger, Tobias, et al.
Published: (2007)

Towards the $p$-adic derived Hecke algebra for weight one forms
by: Zhang, Robin
Published: (2025)

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
by: Banerjee, Debargha, et al.
Published: (2026)

The index of the septic number field defined by $x^7+ax^5+b$
by: Yakkou, Hamid Ben
Published: (2022)

The Harris-Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture
by: Zhang, Robin
Published: (2023)

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
by: Van Order, Jeanine
Published: (2025)

On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025)

The hyperbolic circle problem over Heegner points
by: Chatzakos, Dimitrios, et al.
Published: (2025)

$L^4$-norms of automorphic forms in the depth aspect
by: Fischer, Marius
Published: (2026)

The non-existence of some Galois representations of moderate dimension in small characteristic
by: Ghitza, Alexandru, et al.
Published: (2025)

Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
by: Tsang, Kin Ming
Published: (2024)

On the parity of coefficients of eta powers
by: Charlton, Steven, et al.
Published: (2024)

On indices and monogenity of quartic number fields defined by quadrinomials
by: Yakkou, Hamid Ben
Published: (2024)

Iwasawa invariants of modular forms with $a_p=0$
by: Gajek-Leonard, Rylan
Published: (2023)

Large deviations for number of irreducible divisors of the Dirichlet series distribution
by: Cranston, Michael, et al.
Published: (2025)

On a parity result for the symmetric square of modular forms with congruent residual representations
by: Ray, Jishnu
Published: (2024)

Constructing Galois representations with prescribed Iwasawa $λ$-invariant
by: Ray, Anwesh
Published: (2023)

On characteristic power series of dual signed Selmer groups
by: Ray, Jishnu, et al.
Published: (2022)

Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$
by: Kundu, Debanjana, et al.
Published: (2021)

Asymptotic Fermat's Last Theorem for a family of equations of signature $(2, 2n, n)$
by: García, Pedro-José Cazorla
Published: (2024)

On a certain identity for the cotangent zeta finite Dirichlet series and its application to the Berndt--Arakawa formula
by: Furusawa, Masaaki, et al.
Published: (2024)