What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- ADVANCED DETERMINANT CALCULUS (420 citations)
- Advanced Determinant Calculus: A Complement (248 citations)
- Permutations with Restricted Patterns and Dyck Paths (242 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (70.80%)
- Discrete mathematics (24.80%)
- Pure mathematics (14.80%)
What were the highlights of his more recent work (between 2013-2021)?
- Combinatorics (70.80%)
- Modulo (6.80%)
- Discrete mathematics (24.80%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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