Cover Image

The asymptotic Mahler measure of Gaussian periods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cornelissen, Gunther, Hokken, David, Ringeling, Berend
Format:	Preprint
Published:	2025
Subjects:	Number Theory Primary: 11R06, 11R18. Secondary: 11K38, 14J33, 52B20, 60G50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures
by: Hokken, David, et al.
Published: (2026)

Irreducibility and Galois groups of random reciprocal polynomials of large degree
by: Hokken, David, et al.
Published: (2025)

Gross lattices of supersingular elliptic curves
by: He, Chenfeng, et al.
Published: (2025)

On the Northcott property for infinite extensions
by: Widmer, Martin
Published: (2023)

Distribution modulo one of linear recurrent sequences
by: Chen, Zhangchi, et al.
Published: (2026)

The Kummer ratio of the relative class number for prime cyclotomic fields
by: Kandhil, Neelam, et al.
Published: (2024)

The Brauer-Siegel ratio for prime cyclotomic fields
by: Kandhil, Neelam, et al.
Published: (2024)

Linear Combinations of Logarithms of $L$-functions over Function Fields at Microscopic Shifts and Beyond
by: Çiçek, Fatma, et al.
Published: (2025)

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

On some periodic continued fractions along the $\mathbb{Z}_2$ extension over $\mathbb{Q}$
by: Kanamura, Yoshinori, et al.
Published: (2025)

Arithmetic intersections on non-split Cartan modular curves
by: Love, Jonathan, et al.
Published: (2026)

Visual Aspects of Gaussian Periods and Analogues
by: Platt, Samantha
Published: (2023)

Division quaternion algebras over some cyclotomic fields
by: Savin, Diana
Published: (2023)

$p$-adic equidistribution and an application to $S$-units
by: Schefer, Gerold
Published: (2024)

Inseparable endomorphisms and rank-2 sublattices of the Gross lattice
by: Aubry, Yves, et al.
Published: (2026)

Algebraic approximations to linear combinations of S-units
by: Nair, Parvathi S, et al.
Published: (2025)

Random walks and quadratic number fields
by: Borda, Bence
Published: (2025)

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

Two dimensional integral representations via branches of the Bruhat-Tits tree
by: Aguiló-Vidal, Bruno, et al.
Published: (2025)

The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)

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

Unit lattices of $D_4$-quartic number fields with signature $(2,1)$
by: Ceballos, Sergio Ricardo Zapata, et al.
Published: (2025)

On the Galois module structure of minus class groups
by: Greither, Cornelius, et al.
Published: (2024)

Structure of (Fine) Mordell--Weil Groups
by: Gambheera, Rusiru, et al.
Published: (2025)

Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)

First-order definability of affine Campana points in the projective line over a number field
by: De Rasis, Juan Pablo
Published: (2024)

A Hilbert 90 Property for S-Class Groups and Applications to the Gross--Kuz'min Conjecture
by: Feuerpfeil, Julian
Published: (2025)

Regulator Constants and Cohomology
by: Caputo, Luca
Published: (2026)

Hecke $L$-series for Sinha modules
by: Davis, Erik, et al.
Published: (2025)

Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)

Arithmetic invariants of torus links
by: Ray, Anwesh, et al.
Published: (2025)

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

Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
by: Ahlquist, Victor
Published: (2025)

On the counting function of cubic function fields
by: Ahlquist, Victor
Published: (2025)

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

Pro-$\ell$-by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem
by: Karshon, Ido, et al.
Published: (2026)

On the rational approximation to linear combinations of powers
by: Kumar, Veekesh, et al.
Published: (2025)

Duality invariance of Faltings heights, Hodge line bundles and global periods
by: Suzuki, Takashi
Published: (2025)

Near coincidences and nilpotent division fields
by: Daniels, Harris, et al.
Published: (2024)