Publications (54)
A precise description of the p-adic valuation of the number of alternating sign matrices
Clemens Heuberger, Helmut Prodinger
A continued fraction expansion for a q-tangent function: An elementary proof
Helmut Prodinger
Logarithms of a binomial series: A Stirling number approach
Helmut Prodinger
Factorizations related to the reciprocal Pascal matrix
Helmut Prodinger
On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs
Helmut Prodinger
On a reciprocity law for finite multiple zeta values
Helmut Prodinger, Markus Kuba
A q-analogue of the path length of binary search trees
Helmut Prodinger
Schur's old determinant proves a brand-new theorem of Garrett-Ismail-Stanton
Helmut Prodinger
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials
Helmut Prodinger
Ascents in Non-Negative Lattice Paths
Benjamin Hackl, Clemens Heuberger, Helmut Prodinger
The Necklace Process: A Generating Function Approach
Benjamin Hackl, Helmut Prodinger
Human proofs of identities by Osburn and Schneider
Helmut Prodinger
A q-analogue of a formula of Hernandez obtained by inverting a result of Dilcher
Helmut Prodinger
Three Series for the Generalized Golden Mean
Kevin Hare, Helmut Prodinger, Jeffrey Shallit
The Register Function and Reductions of Binary Trees and Lattice Paths
Benjamin Hackl, Clemens Heuberger, Helmut Prodinger
An elementary proof of a series evaluation in terms of harmonic numbers
Helmut Prodinger
Some binomial sums involving absolute values
Richard P. Brent, Hideyuki Ohtsuka, Judy-anne H. Osborn +1
Combinatorics of geometrically distributed random variables: Value and position of the r-th left-to-right maximum
Arnold Knopfmacher, Helmut Prodinger
q-identities of Fu and Lascoux proved by the q-Rice formula
Helmut Prodinger
The Eigenvectors of the Right-Justified Pascal Triangle: A Shorter Proof with Generating Functions
Helmut Prodinger
Complementary Families of the Fibonacci-Lucas Relations
Ivica Martinjak, Helmut Prodinger
Analysis of Carries in Signed Digit Expansions
Clemens Heuberger, Sara Kropf, Helmut Prodinger
Combinatorics of geometrically distributed random variables: Inversions and a parameter of Knuth
Helmut Prodinger
Reductions of Binary Trees and Lattice Paths induced by the Register Function
Benjamin Hackl, Clemens Heuberger, Helmut Prodinger
On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan
Helmut Prodinger
Height restricted lattice paths, Elenas, and bijections
Helmut Prodinger
Fringe Analysis of Plane Trees Related to Cutting and Pruning
Benjamin Hackl, Clemens Heuberger, Sara Kropf +1
On Cantor's singular moments
Helmut Prodinger
A bijection between ternary trees and a subclass of Motzkin paths
Helmut Prodinger, Sarah J. Selkirk
A new (?) continued fraction expansion for the reciprocal of a $q$-series
Helmut Prodinger
Counting Zeros in Random Walks on the Integers and Analysis of Optimal Dual-Pivot Quicksort
Martin Aumüller, Martin Dietzfelbinger, Clemens Heuberger +2
Output sum of transducers: Limiting distribution and periodic fluctuation
Clemens Heuberger, Sara Kropf, Helmut Prodinger
Smooth words and Chebyshev polynomials
Arnold Knopfmacher, Toufik Mansour, Augustine Munagi +1
Application of Smirnov Words to Waiting Time Distributions of Runs
Uta Freiberg, Clemens Heuberger, Helmut Prodinger
An identity conjectured by Lacasse via the tree function
Helmut Prodinger
Analysis of Bidirectional Ballot Sequences and Random Walks Ending in their Maximum
Benjamin Hackl, Clemens Heuberger, Helmut Prodinger +1
Spanning tree size in Random Binary Search Trees
Alois Panholzer, Helmut Prodinger
A bijection between phylogenetic trees and plane oriented recursive trees
Helmut Prodinger
On protected nodes in Digital Search Trees
Rosena R. X. Du, Helmut Prodinger
On two subclasses of Motzkin paths and their relation to ternary trees
Helmut Prodinger, Sarah J. Selkirk, Stephan Wagner
Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus
Clemens Heuberger, Daniel Krenn, Helmut Prodinger
Protection Number in Plane Trees
Clemens Heuberger, Helmut Prodinger
A closed formula for the generating function of $p$-Bernoulli numbers: An elementary proof
Helmut Prodinger, Sarah J. Selkirk
Sums of powers over equally spaced Fibonacci numbers
Helmut Prodinger
The LU-decomposition of Lehmer's tridiagonal matrix
Helmut Prodinger
New Multiple Harmonic Sum Identities
Helmut Prodinger, Roberto Tauraso
Elementary evaluation of a determinant of Kirschenhofer and Thuswaldner
Helmut Prodinger
The height of multiple edge plane trees
Clemens Heuberger, Helmut Prodinger, Stephan Wagner
Combinatorics of geometrically distributed random variables: Value and position of large left-to-right maxima
Helmut Prodinger
The number of Huffman codes, compact trees, and sums of unit fractions
Christian Elsholtz, Clemens Heuberger, Helmut Prodinger
Complements and signed digit representations: Analysis of a multi-exponentiation-algorithm of Wu, Lou, Lai and Chang
Clemens Heuberger, Helmut Prodinger
A hypergeometric proof for a binomial identity related to $1/Ï$
Benjamin Hackl, Helmut Prodinger
A short and elementary proof for a double sum of Brent and Osburn
Helmut Prodinger
Combinatorics of geometrically distributed random variables: New q-tangent and q-secant numbers
Helmut Prodinger