Cover Image

Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hokken, David, Mehrabdollahei, Mahya, Ringeling, Berend
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11R06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An exact family of bivariate polynomials and Variants of Chinburg's Conjectures
by: Bertin, Marie-José, et al.
Published: (2024)

The asymptotic Mahler measure of Gaussian periods
by: Cornelissen, Gunther, et al.
Published: (2025)

Limits of Mahler measures in multiple variables
by: Brunault, François, et al.
Published: (2022)

Random walks through the areal Mahler measure: steps in the complex plane
by: Lalín, Matilde N., et al.
Published: (2025)

The alternative to Mahler measure of a multivariate polynomial
by: Stankov, Dragan
Published: (2025)

The Mahler measure of a family of polynomials with arbitrarily many variables
by: Nair, Siva Sankar
Published: (2023)

Minimal Mahler Measure in Quartic Galois Number Fields
by: Paudel, Bishnu, et al.
Published: (2025)

Determinants of Mahler measures and special values of $L$-functions
by: Samart, Detchat, et al.
Published: (2024)

Moments of Dirichlet $L$-functions to a fixed modulus over function fields
by: Gao, Peng, et al.
Published: (2022)

Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields
by: Gao, Peng, et al.
Published: (2024)

A p-adic criterion for Lehmer's conjecture
by: Dixit, Anup B., et al.
Published: (2025)

Hyper-Mahler measures via Goncharov-Deligne cyclotomy
by: Zhou, Yajun
Published: (2022)

Spanning trees in $\mathbb{Z}$-covers of a finite graph and Mahler measures
by: Pengo, Riccardo, et al.
Published: (2023)

Counting (skew-)reciprocal Littlewood polynomials with square discriminant
by: Hokken, David
Published: (2023)

On lattices generated by algebraic conjugates of prime degree
by: Fukshansky, Lenny, et al.
Published: (2025)

Large central values of Dirichlet L-functions in cosets
by: Ermoshin, Ivan
Published: (2025)

Short Salem polynomials
by: McKee, James, et al.
Published: (2026)

Approximation of the number of nonunimodular zeros of a self-reciprocal polynomial
by: Stankov, Dragan
Published: (2025)

General Boyd-Lawton Theorems with Multivariable Limits
by: Aitken, Wayne, et al.
Published: (2025)

On the non-Archimedean metric Mahler measure
by: Fili, Paul, et al.
Published: (2014)

On extreme values of quadratic twists of Dirichlet-type $L$-functions
by: Gun, Sanoli, et al.
Published: (2024)

Expected Values of $L$-functions Away from the Central Point
by: David, Chantal, et al.
Published: (2023)

The Mahler measure of exact polynomials and special $L$-values of $K3$ surfaces
by: Trieu, Thu Ha
Published: (2024)

Nonvanishing of $L$--functions associated to fixed order characters over function fields
by: David, Chantal, et al.
Published: (2025)

Asymmetric Distribution of Extreme Values of Cubic $L$-functions at $s=1$
by: Darbar, Pranendu, et al.
Published: (2023)

First moment of central values of quadratic Dirichlet $L$-functions
by: Gao, Peng, et al.
Published: (2023)

On Salem numbers which are exceptional units II
by: Zaimi, Toufik
Published: (2024)

Small integral generators of totally complex number fields
by: Akhtari, Shabnam, et al.
Published: (2023)

Irreducibility of Littlewood polynomials of special degrees
by: Bary-Soroker, Lior, et al.
Published: (2023)

The finiteness of computing the ultrametric Mahler measure
by: Samuels, Charles L.
Published: (2014)

Periodicity and pure periodicity in alternate base systems
by: Masáková, Zuzana, et al.
Published: (2024)

Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions
by: Gao, Peng, et al.
Published: (2024)

Small generators of abelian number fields
by: Widmer, Martin
Published: (2023)

Zeros of Dirichlet $L$-functions on the critical line
by: Sono, Keiju
Published: (2021)

A characterization of the distances between Pisot numbers generating the same number field
by: Bertin, M. J., et al.
Published: (2025)

On the distances between Pisot numbers generating the same number field
by: Zaimi, Toufik
Published: (2024)

Dirichlet's Lemma in Number Fields
by: Lemmermeyer, Franz
Published: (2025)

Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives
by: Zhao, Shengbo
Published: (2026)

$\ell$-Torsion in Class Groups via Dirichlet $L$-functions
by: Heath-Brown, D. R.
Published: (2024)

Divisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields
by: Da Conceição, Joaquim Cera
Published: (2024)