Cover Image

Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Papanikolas, Matthew A.
Format:	Preprint
Published:	2018
Subjects:	Number Theory 11G09 (Primary), 05E05, 11M38, 11T55 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Convolutions of Goss and Pellarin $L$-series
by: Huang, Wei-Cheng, et al.
Published: (2022)

Hyperderivatives of periods and quasi-periods for Anderson $t$-modules
by: Namoijam, Changningphaabi, et al.
Published: (2021)

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

Mellin transform formulas for Drinfeld modules
by: Gezmiş, Oğuz, et al.
Published: (2024)

On the Formal Carlitz Module
by: Anglès, Bruno
Published: (2025)

The threshold for linear independence of multiple zeta values in positive characteristic
by: Im, Bo-Hae, et al.
Published: (2026)

Quartic reductions and elliptic obstructions for perfect Euler bricks
by: Peschmann, René
Published: (2026)

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

Zagier-Hoffman's conjectures in positive characteristic
by: Im, Bo-Hae, et al.
Published: (2022)

Zagier-Hoffman's conjectures in positive characteristic II
by: Im, Bo-Hae, et al.
Published: (2024)

Effective rigid analytic trivializations for Drinfeld modules
by: Khaochim, Chalinee, et al.
Published: (2021)

The Circle Method for Quadrics over Function Fields
by: Mettasch, Johanna
Published: (2026)

Stretching Newton polygons using pure polynomials
by: Gajek-Leonard, Rylan, et al.
Published: (2024)

On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
by: Filaseta, Michael, et al.
Published: (2025)

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

Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
by: Okumura, Yoshiaki
Published: (2025)

On the average number of representations of an integer as a sum of polynomials computed at prime values
by: Migliaccio, Alessandra, et al.
Published: (2026)

Popular differences in primes along fractional powers
by: Çalım, Bora, et al.
Published: (2024)

On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
by: Yamada, Tomohiro
Published: (2024)

The $t$-metric Mahler measures of surds and rational numbers
by: Samuels, Charles L., et al.
Published: (2014)

Multiple $\wp$-Functions and Their Applications
by: Kanno, Hayato, et al.
Published: (2025)

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

Benford's Law in the ring $\mathbb{Z}(\sqrt{D})$
by: Patterson, Christine, et al.
Published: (2024)

On distributions of $L'$-values and orders of Sha groups in families of quadratic twists
by: Wong, Peng-Jie
Published: (2024)

Finite sequences of integers expressible as sums of two squares
by: Choudhry, Ajai, et al.
Published: (2023)

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

Chebyshev's bias for Fermat curves of prime degree
by: Okumura, Yoshiaki
Published: (2023)

On $2$-superirreducible polynomials over finite fields
by: Bober, Jonathan W., et al.
Published: (2023)

Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface
by: Wilson, Cameron
Published: (2024)

Optimal factorizations of rational numbers using factorization trees
by: Samuels, Charles L., et al.
Published: (2014)

On a group of normalized solutions of the higher-dimensional Prouhet--Tarry--Escott problem
by: Inagaki, Munenori, et al.
Published: (2025)

Quadratic Gauss sums over $\mathbb{Z}^n/c\mathbb{Z}^n$: explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $\mathbb{F}_p$
by: Zhu, Xiao-Jie
Published: (2025)

Counting Drinfeld modules with prescribed local conditions
by: Phillips, Tristan
Published: (2022)

The Hasse principle for diagonal forms restricted to a hypersurface of adjacent degree
by: Johansson, Anna Theorin
Published: (2026)

Ogg's conjectures over function fields
by: Armana, Cécile, et al.
Published: (2024)

A P-adic class formula for Anderson t-modules
by: Lucas, Alexis
Published: (2025)

Euler factors of equivariant $L$--functions of Drinfeld modules and beyond
by: Popescu, Cristian D., et al.
Published: (2024)

An Equivariant Tamagawa Number Formula for t-Modules and Applications
by: Green, Nathan, et al.
Published: (2022)

On the transcendence of special values of Goss $L$-functions attached to Drinfeld modules
by: Gezmiş, Oğuz, et al.
Published: (2021)

Behaviour of Newton Polygon over polynomial composition
by: Jakhar, Anuj, et al.
Published: (2025)