Cover Image

Symmetries of weight 6 multiple polylogarithms and Goncharov's Depth Conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Charlton, Steven
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11G55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Multiple polylogarithms and the Steinberg module
by: Charlton, Steven, et al.
Published: (2025)

Symmetry results for multiple $t$-values
by: Charlton, Steven, et al.
Published: (2022)

Landen's trilogarithm functional equation and $\ell$-adic Galois multiple polylogarithms
by: Nakamura, Hiroaki, et al.
Published: (2022)

Duality-reflection formulas of multiple polylogarithms and their $\ell$-adic Galois analogues
by: Shiraishi, Densuke
Published: (2023)

On distribution relations of polylogarithmic Eisenstein classes
by: Shah, Syed Waqar Ali
Published: (2023)

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

On the Landen formula for multiple polylogarithms and its $\ell$-adic Galois analogue
by: Shiraishi, Densuke
Published: (2026)

The Lie coalgebra of multiple polylogarithms
by: Greenberg, Zachary, et al.
Published: (2022)

Minimal surfaces and alternating multiple zetas
by: Charlton, Steven, et al.
Published: (2024)

Multiple polylogarithms at non-positive indices and combinatorics of Magnus polynomials
by: Kitamura, Kohei
Published: (2025)

A variant of Collatz's Conjecture over Binary Polynomials
by: Gallardo, Luis H., et al.
Published: (2025)

An explicit study of a family of cellular integrals
by: Tosi, Riccardo
Published: (2026)

Proof of Kaneko--Tsumura Conjecture on Triple T-Values
by: Berger, Sasha, et al.
Published: (2020)

On a proof of Xu's Conjecture and depths of Galois descents
by: Charlton, Steven
Published: (2025)

Relations between multiple zeta values and delta values from Drinfeld's associator series
by: Kemp, Cameron James Deverall
Published: (2025)

Analytic continuation of Kochubei multiple polylogarithms and its applications
by: Chen, Yen-Tsung
Published: (2025)

Zaremba's Conjecture for Geometric Sequences: An Algorithm
by: Dubno, Elias
Published: (2023)

Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
by: Papanikolas, Matthew A.
Published: (2018)

Refined Chabauty--Kim computations for the thrice-punctured line over $\mathbb{Z}[1/6]$
by: Lüdtke, Martin
Published: (2024)

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
by: Browning, Tim, et al.
Published: (2022)

Refined Selmer equations for the thrice-punctured line in depth two
by: Best, Alex J., et al.
Published: (2021)

Supersingular elliptic curves, quaternion algebras and applications to cryptography
by: Goren, Eyal Z., et al.
Published: (2024)

Generalised quadratic forms over totally real number fields
by: Browning, Tim, et al.
Published: (2022)

Pseudorandomness of primes at large scales
by: Leung, Sun-Kai
Published: (2024)

Mixed Tate motives and cyclotomic multiple zeta values of level $2^n$ or $3^n$
by: Hirose, Minoru
Published: (2024)

Optimal sums of three cubes in $\mathbb{F}_q[t]$
by: Browning, Tim, et al.
Published: (2024)

Hermitian modular forms and algebraic modular forms on $SO(6)$
by: Ibukiyama, Tomoyoshi, et al.
Published: (2025)

Conjectural duality for iterated $q$-integrals on $\mathbb{P}^{1}$ minus four generic points
by: Hirose, Minoru
Published: (2026)

On the evaluations of multiple $S$ and $T$ values of the form $S(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$ and $T(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$
by: Charlton, Steven
Published: (2024)

Conjectures about Primes and Cyclic Numbers
by: Cohen, Joel E.
Published: (2025)

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

Duality on symmetric multiple polylogarithms
by: Kawamura, Hanamichi
Published: (2024)

Infinitesimal Dilogarithm Satisfies Cluster Identities
by: Unver, Sinan
Published: (2025)

Level one automorphic representations of an anisotropic exceptional group over $\mathbb{Q}$ of type $\mathrm{F}_{4}$
by: Shan, Yi
Published: (2024)

Infinitely many twin prime polynomials of odd degree
by: Burrin, Claire, et al.
Published: (2021)

Polylogarithmic motivic Chabauty-Kim for $\mathbb{P}^1 \setminus \{ 0,1,\infty \}$: the geometric step via resultants
by: Jarossay, David, et al.
Published: (2024)

Irregular cusps of orthogonal modular varieties
by: Ma, Shouhei
Published: (2021)

The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
by: Bannai, Kenichi, et al.
Published: (2022)

Exponential sums weighted by additive functions
by: Gafni, Ayla, et al.
Published: (2025)

On boundedness of periods of self maps of algebraic varieties
by: Raha, Manodeep
Published: (2024)