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Christian Krattenthaler

Christian Krattenthaler

D-Index & Metrics

Mathematics

D-Index
34
Citations
5557
World Ranking
2897
National Ranking
37

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Member of Academia Europaea
  • 2007 - Wittgenstein Award

Overview

Christian Krattenthaler is affiliated with the University of Vienna in Austria. Their research spans mainly the field of Mathematics, with a particular focus on subfields including Algebra and Number Theory, Discrete Mathematics and Combinatorics, Applied Mathematics, Geometry and Topology, and Computational Theory and Mathematics.

The topics of their research work include:

  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Mathematical functions and polynomials
  • Algebraic structures and combinatorial models
  • Analytic Number Theory Research
  • Polynomial and algebraic computation
  • Graph theory and CDMA systems

Krattenthaler has published extensively, with notable recent papers such as:

  • The rank enumeration of certain parabolic non-crossing partitions, 2022, Algebraic Combinatorics
  • Was der h-Index wirklich aussagt, 2021, Mitteilungen der Deutschen Mathematiker-Vereinigung

Frequently contributing to several publication venues, they have appeared predominantly in:

  • arXiv (Cornell University)
  • Mitteilungen der Deutschen Mathematiker-Vereinigung
  • The Ramanujan Journal
  • Algebraic Combinatorics
  • Constructive Approximation

Christian Krattenthaler has collaborated regularly with co-authors including Johann Cigler, Christoph Koutschan, Michael J. Schlosser, JiSun Huh, and Jang Soo Kim.

In addition to journal publications, Krattenthaler has authored a book titled Lattice Path Combinatorics and Interactions, published in 2024 by the Centre National de la Recherche Scientifique.

Their contributions have been recognized through awards and honors such as:

  • Fellow of the American Mathematical Society, 2013
  • Member of Academia Europaea, 2011
  • Wittgenstein Award, 2007

Best Publications

  • ADVANCED DETERMINANT CALCULUS

    Christian Krattenthaler

  • Advanced Determinant Calculus: A Complement

    Christian Krattenthaler

  • Permutations with Restricted Patterns and Dyck Paths

    C. Krattenthaler

  • Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes

    C. Krattenthaler

  • Vicious walkers, friendly walkers and Young tableaux: II. With a wall

    Christian Krattenthaler;Anthony J Guttmann;Xavier G Viennot

  • SUPERCONFORMAL INDICES OF THREE-DIMENSIONAL THEORIES RELATED BY MIRROR SYMMETRY

    C. Krattenthaler;V. P. Spiridonov;G. S. Vartanov

  • A new matrix inverse

    C. Krattenthaler

  • Lattice Path Enumeration

    Christian Krattenthaler

  • Cylindric Partitions

    Unknown

  • The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux

    C. Krattenthaler

  • Summations for basic hypergeometric series involving a q-analogue of the digamma function

    C. Krattenthaler;H.M. Srivastava

  • GENERATING FUNCTIONS FOR PLANE PARTITIONS OF A GIVEN SHAPE

    Christian Krattenthaler

  • Enumeration of Lozenge Tilings of Hexagons with a Central Triangular Hole

    M. Ciucu;T. Eisenkölbl;C. Krattenthaler;D. Zare

  • Another Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

    C. Krattenthaler

  • Lattice Path Proofs for Determinantal Formulas for Symplectic and Orthogonal Characters

    Markus Fulmek;Christian Krattenthaler

  • Stanley decompositions and Hilbert depth in the Koszul complex

    Winfried Bruns;Christian Krattenthaler;Jan Uliczka

  • Identities for Classical Group Characters of Nearly Rectangular Shape

    C Krattenthaler

  • Gauss sums, Jacobi sums, and p -ranks of cyclic difference sets

    Ronald Evans;Henk D. L. Hollmann;Christian Krattenthaler;Qing Xiang

  • Non-commutative Hopf algebra of formal diffeomorphisms

    Christian Brouder;Alessandra Frabetti;Christian Krattenthaler

  • Hypergéométrie et fonction zêta de Riemann

    C. Krattenthaler;T. Rivoal

  • Plane partitions II: $5 rac{1}{2}$ symmetry classes

    Mihai Ciucu;Christian Krattenthaler

Frequent Co-Authors

Winfried Bruns
Winfried Bruns Osnabrück University
Peter J. Cameron
Peter J. Cameron University of St Andrews
George E. Andrews
George E. Andrews Pennsylvania State University
G. Vanden Berghe
G. Vanden Berghe Ghent University
Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
Aldo Conca
Aldo Conca University of Genoa
Yuan Xu
Yuan Xu University of Oregon
Toufik Mansour
Toufik Mansour University of Haifa
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Ronald M. Evans
Ronald M. Evans Salk Institute for Biological Studies

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