Peter Paule

Q: What Schools Are Affiliated With Peter Paule

Peter Paule is affiliated with the following schools: Johannes Kepler University Linz, Pennsylvania State University, University of Vienna

Peter Paule's AcademicInfluence.com Rankings

Peter Paule

Mathematics

#2747

World Rank

#4177

Historical Rank

Algebra

#71

World Rank

#118

Historical Rank

Number Theory

#147

World Rank

#192

Historical Rank

Measure Theory

#4106

World Rank

#4839

Historical Rank

mathematics Degrees

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Mathematics

Why Is Peter Paule Influential?

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According to Wikipedia, Peter Paule is an Austrian mathematician who works in symbolic computation and its connections to combinatorics, number theory, and special functions. Since 1990 he has held a faculty position at the Research Institute for Symbolic Computation of the Johannes Kepler University of Linz, and since 2009 he has directed the Institute.

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Peter Paule's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities (1995) (229)
Greatest Factorial Factorization and Symbolic Summation (1995) (124)
A Mathematica q-Analogue of Zeilberger's Algorithm Based on an Algebraically Motivated Approach to q-Hypergeometric Telescoping (1991) (122)
Computer proofs of a new family of harmonic number identities (2003) (122)
MacMahon's Partition Analysis: The Omega Package (2001) (92)
The Concrete Tetrahedron - Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates (2011) (77)
MacMahon's partition analysis XI: Broken diamonds and modular forms (2007) (75)
A Computer Proof of Moll’s Log-Concavity Conjecture (2007) (66)
q-Hypergeometric solutions of q-difference equations (1998) (62)
Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type (1994) (59)
MacMahon's Partition Analysis VI: A New Reduction Algorithm (2001) (39)
The Andrews–Sellers family of partition congruences (2012) (36)
An Infinite Family of Engel Expansions of Rogers-Ramanujan Type (2000) (36)
Infinite families of strange partition congruences for broken 2-diamonds (2010) (36)
MacMahon’s Partition Analysis V: Bijections, Recursions, and Magic Squares (2001) (34)
Plane partitions VI: Stembridge's TSPP theorem (2005) (34)
MacMahon’s Partition Analysis IV: Hypergeometric Multisums (2001) (31)
MacMahon's Partition Analysis: VIII. Plane Partition Diamonds (2001) (31)
The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval (2001) (29)
Variants of the Andrews-Gordon Identities (2001) (29)
A Computer Proof of a Series Evaluation in Terms of Harmonic Numbers (2002) (27)
Macmahon's partition analysis IX: K -gon partitions (2001) (25)
The concept of Bailey chains. (1987) (23)
Lattice Paths, q-Multinomials and Two Variants of the Andrews-Gordon Identities (2001) (22)
SYMBOLIC SUMMATION SOME RECENT DEVELOPMENTS (1995) (20)
On identities of the Rogers-Ramanujan type (1985) (20)
MacMahon's partition analysis XIII: Schmidt type partitions and modular forms (2021) (19)
Hypergeometric Summation Algorithms for High-order Finite Elements (2006) (19)
Converging to Gosper's algorithm (2007) (18)
MacMahon's partition analysis XII: Plane partitions (2007) (16)
Improvement of the Degree Setting in Gospers's Algorithm (1993) (15)
Partition analysis, modular functions, and computer algebra (2016) (14)
A note on Bailey's Lemma (1987) (14)
A MODULAR SUPERCONGRUENCE FOR 6F5: AN APÉRY-LIKE STORY (2017) (12)
Numerical and symbolic scientific computing : progress and prospects (2012) (12)
A UNIFIED ALGORITHMIC FRAMEWORK FOR RAMANUJAN’S CONGRUENCES MODULO POWERS OF 5, 7, AND 11 (2018) (11)
A Proof of the Weierstraß Gap Theorem not Using the Riemann–Roch Formula (2019) (11)
A canonical form guide to symbolic summation (1997) (10)
Some Questions Concerning Computer-Generated Proofs of a Binomial Double- Sum Identy (1993) (10)
q-ENGEL SERIES EXPANSIONS AND SLATER'S IDENTITIES (2001) (9)
A NEW WITNESS IDENTITY FOR 11 | p ( 11 n + 6 ) (2016) (9)
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II (2012) (9)
MACMAHON’S PARTITION ANALYSIS XI: HEXAGONAL PLANE PARTITIONS (2004) (8)
THE VARIANCE OF THE VERTEX DEGREES OF RANDOMLY GENERATED GRAPHS (2002) (8)
Fountains, histograms, and q-identities (2003) (8)
A New Witness Identity for $\varvec{11\mid p(11n+6)}$ (2016) (7)
Hypergeometric Summation Techniques for High Order Finite Elements (2006) (7)
Automatic Improvements of Wallis' Inequality (2010) (6)
Hagenberg Research (2009) (6)
Towards a symbolic summation theory for unspecified sequences (2018) (6)
Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra: In Honour of Peter Paule on his 60th Birthday (2020) (5)
A Proof of a Conjecture of Knuth (1996) (4)
Creative telescoping for hypergeometric double sums (2005) (4)
Engel Expansions of q-Series by Computer Algebra (2001) (4)
MacMahon’s Dream (2012) (3)
TRUNCATING BINOMIAL SERIES WITH SYMBOLIC SUMMATION (2007) (3)
Wavelets with Scale Dependent Properties (2001) (3)
Numerical and Symbolic Scientific Computing (2012) (3)
Symmetries in neural networks: a linear group action approach (1993) (3)
Bruno Buchberger - A life devoted to symbolic computation (2006) (3)
A Classical Hypergeometric Proof of an Important Transformation Formula Found by J.-B. Baillon and R.E. Bruck (1995) (2)
Mathematical Software – ICMS 2016 (2016) (2)
An Algorithm to Prove Holonomic Differential Equations for Modular Forms (2021) (2)
New inequalities for p(n) and $$\log p(n)$$ (2022) (2)
Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra (2016) (2)
Error bounds for the asymptotic expansion of the partition function (2022) (2)
Holonomic relations for modular functions and forms: First guess, then prove (2020) (2)
On the Probabilistic Model Checking of a Retrial Queueing System with Unreliable Server, Collision, and Constant Time Impatience (2019) (2)
Algorithms in Symbolic Computation (2009) (2)
An Infinite Sum from a Diffusion Problem (A. W. Overhauser and Y J. Kim) (1995) (1)
A PROOF OF SELLERS ’ CONJECTURE (2009) (1)
Contiguous Relations and Creative Telescoping (2021) (1)
C-Finite Sequences (2011) (1)
PREDICTING THE NUMBER OF HEXAGONALSYSTEMS WITH 24 AND 25 HEXAGONS (2007) (1)
Improvement of the Degree Setting in Gosper's Algorithm Improvement of the Degree Setting in Gosper's Algorithm (1993) (1)
Construction of modular function bases for Γ0(121) related to p(11n+6) (2021) (1)
Workshop on Symbolic Combinatorics and Algorithmic Differential Algebra (2016) (0)
Construction of Modular Function Bases for Gamma0(121) related to p(11n + 6) (2021) (0)
A fast Visualization System for Adaptive Grids (2007) (0)
Special Issue: Symbolic Computation in Combinatorics - Foreword of the Guest Editors (1992) (0)
q-series and modular functions: a basic introduction (2017) (0)
A computer algebra approach to orthonormal wavelets (2000) (0)
Graphical and Arithmetical Benchmarking of Workstations (1998) (0)
Chapter I Hot Topics in Symbolic Computation (2009) (0)
University of Birmingham Exercising Nuprl's open-endedness (2016) (0)
Mathematics, Computer Science and Logic - A Never Ending Story: The Bruno Buchberger Festschrift (2013) (0)
Counting Cells in a Grid. Counting Cells in a Grid (1995) (0)
Combinatory Analysis 2018: In Honor of George Andrews’ 80th Birthday (2019) (0)
Holonomic Sequences and Power Series (2011) (0)
PREDICTING THE NUMBER OF HEXAGONAL SYSTEMS WITH 24 AND 25 HEXAGONS Fr ed (2017) (0)
Interview with Peter Paule (2022) (0)
Lemma of Ingleton and Puff and the Construction of Bijections (2015) (0)
Henrici’s Friendly Monster Identity Revisited (2009) (0)
Polyhedral geometry and partition theory (2019) (0)
Workshop on symbolic combinatorics and algorithmic differential algebra (2016) (0)
Combinatory analysis : dedicated to George Andrews (2013) (0)
Holonomic Tools for Basic Hypergeometric Functions (2016) (0)
George Andrews: “Combinatory Analysis 80” Picture Book (2021) (0)
Further developments in MacMahon's partition analysis (abstract only) (2008) (0)
Algorithmic problem solving (2003) (0)
Formal Power Series (2011) (0)
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order (2013) (0)
Complexity of Integration, Special Values, and Recent Developments (2016) (0)

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What Schools Are Affiliated With Peter Paule?

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Peter Paule's Academic­Influence.com Rankings

Why Is Peter Paule Influential?

Peter Paule's Published Works

Published Works

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What Schools Are Affiliated With Peter Paule?

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Peter Paule's AcademicInfluence.com Rankings