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Transcendence in Algebra, Combinatorics, Geometry and Number Theory

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Cover of 'Transcendence in Algebra, Combinatorics, Geometry and Number Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Frobenius Action on a Hypergeometric Curve and an Algorithm for Computing Values of Dwork’s p -adic Hypergeometric Functions
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    Chapter 2 A Matrix Version of Dwork’s Congruences
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    Chapter 3 On the Kernel Curves Associated with Walks in the Quarter Plane
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    Chapter 4 A Survey on the Hypertranscendence of the Solutions of the Schröder’s, Böttcher’s and Abel’s Equations
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    Chapter 5 Hodge Structures and Differential Operators
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    Chapter 6 Beck-Type Identities for Euler Pairs of Order r
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    Chapter 7 Quarter-Plane Lattice Paths with Interacting Boundaries: The Kreweras and Reverse Kreweras Models
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    Chapter 9 A Theta Identity of Gauss Connecting Functions from Additive and Multiplicative Number Theory
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    Chapter 10 Combinatorial Quantum Field Theory and the Jacobian Conjecture
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    Chapter 12 Néron Desingularization of Extensions of Valuation Rings
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    Chapter 14 Proof of Chudnovskys’ Hypergeometric Series for $$1/\pi $$ 1 / π Using Weber Modular Polynomials
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    Chapter 15 Computing an Order-Complete Basis for $$M^{\infty }(N)$$ M ∞ ( N ) and Applications
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    Chapter 16 An Algorithm to Prove Holonomic Differential Equations for Modular Forms
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    Chapter 17 A Case Study for $$\zeta (4)$$ ζ ( 4 )
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    Chapter 18 Support of an Algebraic Series as the Range of a Recursive Sequence
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    Chapter 19 X -coordinates of Pell Equations in Various Sequences
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    Chapter 20 A Conditional Proof of the Leopoldt Conjecture for CM Fields
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    Chapter 21 Siegel’s Problem for E -Functions of Order 2
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    Chapter 22 Irrationality and Transcendence of Alternating Series via Continued Fractions
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    Chapter 23 On the Transcendence of Critical Hecke L -Values
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Title
Transcendence in Algebra, Combinatorics, Geometry and Number Theory
Published by
Springer Proceedings in Mathematics & Statistics, January 2021
DOI 10.1007/978-3-030-84304-5
ISBNs
978-3-03-084303-8, 978-3-03-084304-5
Editors

Bostan, Alin, Raschel, Kilian

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Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 16 November 2021.
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#17,732,227
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