Hyperderivatives of periods and quasi-periods for Anderson t-modules / Changningphaabi Namoijam, Matthew A. Papanikolas.

Format:

Book

Author/Creator:

Namoijam, Changningphaabi, author.

Papanikolas, Matthew A., author.

Series:

Memoirs of the American Mathematical Society ; volume 302, number 1517.

Language:

English

Subjects (All):

Number theory.

Physical Description:

v, 121 pages ; 26 cm.

Place of Publication:

Providence, RI : American Mathematical Society, 2024.

Summary:

We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson t-modules, as well as their hyperderivatives. We develop a comprehensive account of how these values can be obtained through rigid analytic trivializations of abelian and A-finite t-modules. To do this we build on the exponentiation theorem of Anderson and investigate quasi-periodic extensions of t-modules through Anderson generating functions. By applying these results to prolongation t-modules of Maurischat, we integrate hyperderivatives of these values together with previous work of Brownawell and Denis in this framework.

Contents:

Chapter 1. Introduction

Chapter 2. Preliminaries

Chapter 3. Exponentiation and rigid analytic trivializations

Chapter 4. Biderivations and quasi-periodic extensions

Chapter 5. Hyperderivatives of periods, quasi-periods, logarithms, and quasi-logarithms

Bibliography.

Notes:

Includes bibliographical references (pages 117-121).

ISBN:

1470470888

9781470470883

OCLC:

1473796921