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  • Conference proceedings
  • © 2021

Transcendence in Algebra, Combinatorics, Geometry and Number Theory

TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions

  • Brings original articles on algebraic and transcendental aspects of special functions and special numbers

  • Highlights collaboration in number theory, combinatorics, statistical mechanics, and computer algebra

  • Offers selected surveys on key topics in these fields

Conference proceedings info: TRANS 2019.

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Table of contents (23 papers)

  1. Front Matter

    Pages i-xxxix
  2. A Matrix Version of Dwork’s Congruences

    • Frits Beukers
    Pages 47-59
  3. On the Kernel Curves Associated with Walks in the Quarter Plane

    • Thomas Dreyfus, Charlotte Hardouin, Julien Roques, Michael F. Singer
    Pages 61-89
  4. Hodge Structures and Differential Operators

    • Masha Vlasenko
    Pages 127-139
  5. Beck-Type Identities for Euler Pairs of Order r

    • Cristina Ballantine, Amanda Welch
    Pages 141-161
  6. Quarter-Plane Lattice Paths with Interacting Boundaries: The Kreweras and Reverse Kreweras Models

    • Nicholas R. Beaton, Aleksander L. Owczarek, Ruijie Xu
    Pages 163-192
  7. Infinite Product Formulae for Generating Functions for Sequences of Squares

    • Christian Krattenthaler, Mircea Merca, Cristian-Silviu Radu
    Pages 193-236
  8. How Regular are Regular Singularities?

    • Herwig Hauser
    Pages 261-273
  9. Computing an Order-Complete Basis for \(M^{\infty }(N)\) and Applications

    • Mark van Hoeij, Cristian-Silviu Radu
    Pages 355-366
  10. An Algorithm to Prove Holonomic Differential Equations for Modular Forms

    • Peter Paule, Cristian-Silviu Radu
    Pages 367-420
  11. A Case Study for \(\zeta (4)\)

    • Carsten Schneider, Wadim Zudilin
    Pages 421-435

Other Volumes

  1. Transcendence in Algebra, Combinatorics, Geometry and Number Theory

About this book

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

Editors and Affiliations

  • Inria, Université Paris-Saclay, Palaiseau, France

    Alin Bostan

  • CNRS, Institut Denis Poisson, Université de Tours,, Tours, France

    Kilian Raschel

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access