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- Christian Krattenthaler

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
4,874
232
World Ranking
2549
National Ranking
34

2013 - Fellow of the American Mathematical Society

2011 - Member of Academia Europaea

2007 - Wittgenstein Award

- Algebra
- Combinatorics
- Mathematical analysis

Christian Krattenthaler mainly focuses on Combinatorics, Discrete mathematics, Mathematical proof, Pure mathematics and Lattice. His work deals with themes such as Lattice path, Plane and Symplectic geometry, which intersect with Combinatorics. Christian Krattenthaler combines subjects such as Conjecture, Equilateral triangle and Stack with his study of Mathematical proof.

His Lattice research is multidisciplinary, incorporating elements of Hilbert–Poincaré series, Coin flipping and Commutative algebra. Within one scientific family, Christian Krattenthaler focuses on topics pertaining to Catalan number under Major index, and may sometimes address concerns connected to Pfaffian, Symmetric function and Calculus. The Enumeration study combines topics in areas such as Fraction, Chebyshev polynomials and Generating function.

- ADVANCED DETERMINANT CALCULUS (420 citations)
- Advanced Determinant Calculus: A Complement (248 citations)
- Permutations with Restricted Patterns and Dyck Paths (242 citations)

Christian Krattenthaler mostly deals with Combinatorics, Discrete mathematics, Pure mathematics, Conjecture and Mathematical proof. His Combinatorics research incorporates themes from Plane and Rhombus. He interconnects Symmetry, Generalization and Hexagonal lattice in the investigation of issues within Plane.

His research links Lattice with Discrete mathematics. His study on Pure mathematics is mostly dedicated to connecting different topics, such as Algebra. His Basic hypergeometric series research focuses on subjects like Generalized hypergeometric function, which are linked to Confluent hypergeometric function.

- Combinatorics (70.80%)
- Discrete mathematics (24.80%)
- Pure mathematics (14.80%)

- Combinatorics (70.80%)
- Modulo (6.80%)
- Discrete mathematics (24.80%)

Christian Krattenthaler mainly investigates Combinatorics, Modulo, Discrete mathematics, Congruence relation and Series. He regularly links together related areas like Free group in his Combinatorics studies. He has included themes like Prime, Sequence, Exponential function, Power series and Lemma in his Modulo study.

His biological study focuses on Generating function. Christian Krattenthaler usually deals with Congruence relation and limits it to topics linked to Apéry's constant and Entire function. His Series research is multidisciplinary, relying on both Pi, Identity, Polynomial and Leibniz formula for π.

- Lattice Path Enumeration (44 citations)
- Plane partitions in the work of Richard Stanley and his school (25 citations)
- Some divisibility properties of binomial and q-binomial coefficients (22 citations)

- Algebra
- Combinatorics
- Mathematical analysis

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Generating function, Enumeration and Series. Christian Krattenthaler works on Combinatorics which deals in particular with Modulo. His is doing research in Young tableau, Conjecture and Divisibility rule, both of which are found in Discrete mathematics.

His work carried out in the field of Conjecture brings together such families of science as Quotient, Catalan number, Binomial coefficient, Prime factor and Binomial. The study incorporates disciplines such as Lattice path, Altitude, Finite set and Lattice in addition to Enumeration. His Series research includes themes of Identity, Major index, Row and column spaces and Rectangle.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

ADVANCED DETERMINANT CALCULUS

Christian Krattenthaler.

Séminaire Lotharingien de Combinatoire [electronic only] **(2001)**

654 Citations

ADVANCED DETERMINANT CALCULUS

Christian Krattenthaler.

Séminaire Lotharingien de Combinatoire [electronic only] **(2001)**

654 Citations

Advanced Determinant Calculus: A Complement

Christian Krattenthaler.

Linear Algebra and its Applications **(2005)**

403 Citations

Advanced Determinant Calculus: A Complement

Christian Krattenthaler.

Linear Algebra and its Applications **(2005)**

403 Citations

Permutations with Restricted Patterns and Dyck Paths

C. Krattenthaler.

Advances in Applied Mathematics **(2001)**

365 Citations

Permutations with Restricted Patterns and Dyck Paths

C. Krattenthaler.

Advances in Applied Mathematics **(2001)**

365 Citations

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

C. Krattenthaler.

Advances in Applied Mathematics **(2006)**

156 Citations

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

C. Krattenthaler.

Advances in Applied Mathematics **(2006)**

156 Citations

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

Christian Krattenthaler;Anthony J Guttmann;Xavier G Viennot.

Journal of Physics A **(2000)**

148 Citations

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

Christian Krattenthaler;Anthony J Guttmann;Xavier G Viennot.

Journal of Physics A **(2000)**

148 Citations

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