H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 4,773 128 World Ranking 1112 National Ranking 20

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Mathematical analysis
  • Quantum mechanics

Carsten Schneider mainly investigates Harmonic, Algebra, Feynman diagram, Pure mathematics and Quantum chromodynamics. His Harmonic research incorporates themes from Limit, Asymptotic expansion, Variable and Symbolic computation. His Algebra study combines topics in areas such as Parameterized complexity and Combinatorics.

His research investigates the connection between Feynman diagram and topics such as Sigma that intersect with issues in Particle physics. His biological study spans a wide range of topics, including Iterated function, Representation, Algebraic number, Analytic continuation and Quantum mechanics. Carsten Schneider usually deals with Quantum chromodynamics and limits it to topics linked to Space and Charm quark, Quark, Distribution and Charm.

His most cited work include:

  • Harmonic sums and polylogarithms generated by cyclotomic polynomials (226 citations)
  • Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms (166 citations)
  • Symbolic summation assists combinatorics. (150 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Algebra, Particle physics, Quantum chromodynamics, Pure mathematics and Harmonic. His work deals with themes such as Telescoping series and Hypergeometric distribution, which intersect with Algebra. His work in the fields of Particle physics, such as Quark, intersects with other areas such as Flavor.

As part of the same scientific family, he usually focuses on Quantum chromodynamics, concentrating on Mathematical physics and intersecting with Differential equation and Order. The Pure mathematics study combines topics in areas such as Tower, Algebraic number and Linear difference equation. His research integrates issues of Quantum field theory, Analytic continuation, Feynman diagram, Variable and Sigma in his study of Harmonic.

He most often published in these fields:

  • Algebra (24.66%)
  • Particle physics (23.77%)
  • Quantum chromodynamics (19.28%)

What were the highlights of his more recent work (between 2016-2021)?

  • Particle physics (23.77%)
  • Mathematical physics (14.80%)
  • Quantum chromodynamics (19.28%)

In recent papers he was focusing on the following fields of study:

His main research concerns Particle physics, Mathematical physics, Quantum chromodynamics, Quark and Operator matrix. His research investigates the connection between Mathematical physics and topics such as Differential equation that intersect with issues in Factorization, Hypergeometric function, Elliptic integral and Pure mathematics. His Quantum chromodynamics research integrates issues from Linear differential equation, Quantum field theory, Feynman integral, Variable and Symbolic computation.

The various areas that Carsten Schneider examines in his Variable study include Scheme and Space. His Quark study also includes

  • Scalar which is related to area like Pseudoscalar and Perturbative QCD,
  • Renormalization that intertwine with fields like Feynman diagram,
  • Order which is related to area like Momentum. His Operator matrix research incorporates elements of Deep inelastic scattering, Scattering and Element.

Between 2016 and 2021, his most popular works were:

  • Iterated elliptic and hypergeometric integrals for Feynman diagrams (70 citations)
  • Automated solution of first order factorizable systems of differential equations in one variable (38 citations)
  • Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses (31 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Mathematical analysis
  • Quantum mechanics

Mathematical physics, First order, Differential equation, Operator matrix and Quantum chromodynamics are his primary areas of study. His Mathematical physics study combines topics in areas such as Element, Quark, Order and Effective field theory. His Differential equation research is multidisciplinary, incorporating elements of Hypergeometric function, Pure mathematics, Harmonic and Elliptic integral.

His research in Operator matrix intersects with topics in Deep inelastic scattering, Scattering and Particle physics. His Computation research is multidisciplinary, relying on both Feynman diagram and Quantum field theory. His Scalar study improves the overall literature in Algebra.

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.

Best Publications

Harmonic sums and polylogarithms generated by cyclotomic polynomials

Jakob Ablinger;Johannes Blümlein;Carsten Schneider.
Journal of Mathematical Physics (2011)

233 Citations

Symbolic summation assists combinatorics.

Carsten Schneider.
Séminaire Lotharingien de Combinatoire [electronic only] (2006)

227 Citations

Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

Jakob Ablinger;Johannes Blümlein;Carsten Schneider.
Journal of Mathematical Physics (2013)

166 Citations

Solving parameterized linear difference equations in terms of indefinite nested sums and products

Carsten Schneider.
Journal of Difference Equations and Applications (2005)

156 Citations

The O(lpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

J. Ablinger;J. Blümlein;S. Klein;C. Schneider.
Nuclear Physics (2011)

139 Citations

Simplifying Multiple Sums in Difference Fields

Carsten Schneider.
arXiv: Symbolic Computation (2013)

137 Citations

Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ǫ)

Isabella Bierenbaum;Johannes Blümlein;Sebastian Klein;Carsten Schneider.
Nuclear Physics (2008)

133 Citations

Computer proofs of a new family of harmonic number identities

Peter Paule;Carsten Schneider.
Advances in Applied Mathematics (2003)

127 Citations

Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra

J. Ablinger;A. Behring;J. Blümlein;A. De Freitas.
Computer Physics Communications (2016)

114 Citations

A refined difference field theory for symbolic summation

Carsten Schneider.
Journal of Symbolic Computation (2008)

113 Citations

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Best Scientists Citing Carsten Schneider

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Nanjing University

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Michael F. Singer

Michael F. Singer

North Carolina State University

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