default search action
Google
Google Scholar
Semantic Scholar
Internet Archive Scholar
CiteSeerX
ORCIDCarsten Schneider
Person information
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
showing all ?? records
2020 – today
- 2024
[j32]Evans Doe Ocansey
, Carsten Schneider:
Representation of hypergeometric products of higher nesting depths in difference rings. J. Symb. Comput. 120: 102220 (2024)- [i53]Peter Paule, Carsten Schneider:
Creative Telescoping for Hypergeometric Double Sums. CoRR abs/2401.16314 (2024) - [i52]Johannes Blümlein, Abilio De Freitas, Peter Marquard, Carsten Schneider:
Challenges for analytic calculations of the massive three-loop form factors. CoRR abs/2408.07046 (2024) - 2023
- [j31]Johannes Blümlein, Marco Saragnese, Carsten Schneider:
Hypergeometric structures in Feynman integrals. Ann. Math. Artif. Intell. 91(5): 591-649 (2023) - [j30]Johannes Blümlein, Nikolai Fadeev, Carsten Schneider:
Computing Mellin Representations and Asymptotics of Nested Binomial Sums in a Symbolic Way: The RICA Package. ACM Commun. Comput. Algebra 57(2): 31-34 (2023) - [c12]Carsten Schneider:
Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱. ISSAC 2023: 498-507 - [i51]Carsten Schneider:
Refined telescoping algorithms in RΠΣ-extensions to reduce the degrees of the denominators. CoRR abs/2302.03563 (2023) - [i50]Johannes Blümlein, Nikolai Fadeev, Carsten Schneider:
Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package. CoRR abs/2308.06042 (2023) - 2022
- [i49]Johannes Blümlein, Carsten Schneider:
The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals. CoRR abs/2203.13015 (2022) - [i48]Johannes Blümlein, Marco Saragnese, Carsten Schneider:
Computer Algebra and Hypergeometric Structures for Feynman Integrals. CoRR abs/2207.08524 (2022) - [i47]Koustav Banerje, Peter Paule, Cristian-Silviu Radu, Carsten Schneider:
Error bounds for the asymptotic expansion of the partition function. CoRR abs/2209.07887 (2022) - 2021
- [j29]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider:
On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ⁎-field extensions. J. Symb. Comput. 107: 23-66 (2021) - [j28]Carsten Schneider:
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Math. Comput. Sci. 15(4): 577-588 (2021) - [c11]Jakob Ablinger, Carsten Schneider:
Solving Linear Difference Equations with Coefficients in Rings with Idempotent Representations. ISSAC 2021: 27-34 - [e1]Carsten Schneider, Mircea Marin, Viorel Negru, Daniela Zaharie:
23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2021, Timisoara, Romania, December 7-10, 2021. IEEE 2021, ISBN 978-1-6654-0650-5 [contents] - [i46]Carsten Schneider:
Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. CoRR abs/2102.01471 (2021) - [i45]Jakob Ablinger, Carsten Schneider:
Solving linear difference equations with coefficients in rings with idempotent representations. CoRR abs/2102.03307 (2021) - [i44]Jakob Ablinger, Johannes Blümlein, Carsten Schneider:
Iterated integrals over letters induced by quadratic forms. CoRR abs/2103.08330 (2021) - [i43]Johannes Blümlein, Marco Saragnese, Carsten Schneider:
Hypergeometric Structures in Feynman Integrals. CoRR abs/2111.15501 (2021) - 2020
- [j27]Carsten Schneider:
Minimal Representations and Algebraic Relations for Single Nested Products. Program. Comput. Softw. 46(2): 133-161 (2020) - [i42]Carsten Schneider:
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. CoRR abs/2003.01921 (2020) - [i41]Carsten Schneider, Wadim Zudilin:
A case study for ζ(4). CoRR abs/2004.08158 (2020) - [i40]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider:
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions. CoRR abs/2005.04944 (2020) - [i39]Evans Doe Ocansey, Carsten Schneider:
Representation of hypergeometric products of higher nesting depths in difference rings. CoRR abs/2011.08775 (2020)
2010 – 2019
- 2019
- [j26]Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider:
Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Commun. 240: 189-201 (2019) - [i38]Carsten Schneider:
Minimal representations and algebraic relations for single nested products. CoRR abs/1911.04837 (2019) - [i37]Johannes Blümlein, Peter Marquard, Carsten Schneider:
A refined machinery to calculate large moments from coupled systems of linear differential equations. CoRR abs/1912.04390 (2019) - 2018
- [j25]Johannes Middeke, Carsten Schneider:
Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems. ACM Commun. Comput. Algebra 52(3): 89-91 (2018) - [i36]Johannes Blümlein, Carsten Schneider:
Computer algebra tools for Feynman integrals and related multi-sums. CoRR abs/1809.06168 (2018) - [i35]Peter Paule, Carsten Schneider:
Towards a symbolic summation theory for unspecified sequences. CoRR abs/1809.06578 (2018) - 2017
- [j24]Carsten Schneider, Robin Sulzgruber:
Asymptotic and Exact Results on the Complexity of the Novelli-Pak-Stoyanovskii Algorithm. Electron. J. Comb. 24(2): 2 (2017) - [j23]Carsten Schneider:
Summation Theory II: Characterizations of RΠΣ⁎-extensions and algorithmic aspects. J. Symb. Comput. 80: 616-664 (2017) - [i34]Johannes Blümlein, Carsten Schneider:
The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. CoRR abs/1701.04614 (2017) - [i33]Johannes Middeke, Carsten Schneider:
Denominator Bounds for Systems of Recurrence Equations using $ΠΣ$-Extensions. CoRR abs/1705.00280 (2017) - [i32]Evans Doe Ocansey, Carsten Schneider:
Representing ($q$-)hypergeometric products and mixed versions in difference rings. CoRR abs/1705.01368 (2017) - [i31]Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, Erdal Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider:
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. CoRR abs/1706.01299 (2017) - [i30]Johannes Blümlein, Mark Round, Carsten Schneider:
Refined Holonomic Summation Algorithms in Particle Physics. CoRR abs/1706.03677 (2017) - 2016
- [j22]Evans Doe Ocansey, Carsten Schneider:
Representation of hypergeometric products in difference rings. ACM Commun. Comput. Algebra 50(4): 161-163 (2016) - [j21]Johannes Middeke, Carsten Schneider:
Denominator bounds for higher order systems of linear recurrence equations. ACM Commun. Comput. Algebra 50(4): 185-187 (2016) - [j20]Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider:
Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra. Comput. Phys. Commun. 202: 33-112 (2016) - [j19]Carsten Schneider:
A difference ring theory for symbolic summation. J. Symb. Comput. 72: 82-127 (2016) - [c10]Carsten Schneider:
Symbolic Summation in Difference Rings and Applications. ISSAC 2016: 9-12 - [i29]Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Carsten Schneider:
A toolbox to solve coupled systems of differential and difference equations. CoRR abs/1601.01856 (2016) - [i28]Carsten Schneider:
Summation Theory II: Characterizations of RΠΣ*-extensions and algorithmic aspects. CoRR abs/1603.04285 (2016) - [i27]Carsten Schneider, Robin Sulzgruber:
Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. CoRR abs/1606.07597 (2016) - [i26]Christian Krattenthaler, Carsten Schneider:
Evaluation of binomial double sums involving absolute values. CoRR abs/1607.05314 (2016) - [i25]Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Carsten Schneider:
Algorithms to solve coupled systems of differential equations in terms of power series. CoRR abs/1608.05376 (2016) - 2015
- [p2]Carsten Schneider:
Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. Computer Algebra and Polynomials 2015: 157-191 - [i24]Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider:
Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. CoRR abs/1509.08324 (2015) - [i23]Jakob Ablinger, Carsten Schneider:
Algebraic independence of (cyclotomic) harmonic sums. CoRR abs/1510.03692 (2015) - 2014
- [c9]Carsten Schneider:
A Streamlined Difference Ring Theory: Indefinite Nested Sums, the Alternating Sign, and the Parameterized Telescoping Problem. SYNASC 2014: 26-33 - [i22]Johannes Blümlein, Abilio De Freitas, Carsten Schneider:
Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. CoRR abs/1407.2537 (2014) - [i21]Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider:
Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. CoRR abs/1407.4721 (2014) - [i20]Carsten Schneider:
A Difference Ring Theory for Symbolic Summation. CoRR abs/1408.2776 (2014) - [i19]Carsten Schneider:
A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem. CoRR abs/1412.2782 (2014) - 2013
- [i18]Jakob Ablinger, Johannes Blümlein, Carsten Schneider:
Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms. CoRR abs/1302.0378 (2013) - [i17]Carsten Schneider:
Simplifying Multiple Sums in Difference Fields. CoRR abs/1304.4134 (2013) - [i16]Stefan Gerhold, Manuel Kauers, Christoph Koutschan, Peter Paule, Carsten Schneider, Burkhard Zimmermann:
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. CoRR abs/1305.4818 (2013) - [i15]Carsten Schneider:
Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. CoRR abs/1307.7887 (2013) - [i14]Carsten Schneider:
Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction. CoRR abs/1310.0160 (2013) - 2012
- [j18]Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan:
A symbolic summation approach to Feynman integral calculus. J. Symb. Comput. 47(10): 1267-1289 (2012) - [i13]Johannes Blümlein, Alexander Hasselhuhn, Carsten Schneider:
Evaluation of Multi-Sums for Large Scale Problems. CoRR abs/1202.4303 (2012) - [i12]Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider:
Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals. CoRR abs/1210.1685 (2012) - 2011
- [j17]Helmut Prodinger, Carsten Schneider, Stephan G. Wagner:
Unfair permutations. Eur. J. Comb. 32(8): 1282-1298 (2011) - [c8]Manuel Kauers, Carsten Schneider:
A refined denominator bounding algorithm for multivariate linear difference equations. ISSAC 2011: 201-208 - [i11]Manuel Kauers, Carsten Schneider:
A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations. CoRR abs/1101.2803 (2011) - [i10]Jakob Ablinger, Johannes Blümlein, Carsten Schneider:
Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials. CoRR abs/1105.6063 (2011) - 2010
- [j16]Carsten Schneider:
Structural theorems for symbolic summation. Appl. Algebra Eng. Commun. Comput. 21(1): 1-32 (2010) - [j15]Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan:
A symbolic summation approach to feynman integrals. ACM Commun. Comput. Algebra 44(3/4): 95-96 (2010) - [c7]Manuel Kauers, Carsten Schneider:
Partial denominator bounds for partial linear difference equations. ISSAC 2010: 211-218 - [c6]Carsten Schneider:
Towards an Eclipse Ontology Framework: Integrating OWL and the Eclipse Modeling Framework. TWOMDE@TOOLS 2010 - [i9]Manuel Kauers, Carsten Schneider:
Partial Denominator Bounds for Partial Linear Difference Equations. CoRR abs/1005.0602 (2010) - [i8]Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan:
A Symbolic Summation Approach to Feynman Integral Calculus. CoRR abs/1011.2656 (2010)
2000 – 2009
- 2009
- [j14]Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider:
Determining the closed forms of the O(sS3) anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Comput. Phys. Commun. 180(11): 2143-2165 (2009) - [j13]Robert Osburn, Carsten Schneider:
Gaussian Hypergeometric series and supercongruences. Math. Comput. 78(265): 275-292 (2009) - [p1]Peter Paule, Bruno Buchberger, Lena Kartashova, Manuel Kauers, Carsten Schneider, Franz Winkler:
Algorithms in Symbolic Computation. Hagenberg Research 2009: 5-62 - [i7]Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider:
Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. CoRR abs/0902.4091 (2009) - [i6]Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider:
From Moments to Functions in Quantum Chromodynamics. CoRR abs/0902.4095 (2009) - [i5]Carsten Schneider:
A Symbolic Summation Approach to Find Optimal Nested Sum Representations. CoRR abs/0904.2323 (2009) - 2008
- [j12]Carsten Schneider:
Multi-summation in difference fields (abstract only). ACM Commun. Comput. Algebra 42(1-2): 19 (2008) - [j11]Manuel Kauers, Carsten Schneider:
Automated Proofs for Some Stirling Number Identities. Electron. J. Comb. 15(1) (2008) - [j10]Carsten Schneider:
A refined difference field theory for symbolic summation. J. Symb. Comput. 43(9): 611-644 (2008) - [i4]Carsten Schneider:
A Refined Difference Field Theory for Symbolic Summation. CoRR abs/0808.2543 (2008) - [i3]Carsten Schneider:
Parameterized Telescoping Proves Algebraic Independence of Sums. CoRR abs/0808.2596 (2008) - 2007
- [j9]Carsten Schneider:
Apery's Double Sum is Plain Sailing Indeed. Electron. J. Comb. 14(1) (2007) - [j8]Robin Pemantle, Carsten Schneider:
When Is 0.999... Equal to 1? Am. Math. Mon. 114(4): 344-350 (2007) - [c5]Manuel Kauers, Carsten Schneider:
Symbolic summation with radical expressions. ISSAC 2007: 219-226 - [i2]I. Bierenbaum, Johannes Blümlein, Sebastian Klein, Carsten Schneider:
Difference Equations in Massive Higher Order Calculations. CoRR abs/0707.4659 (2007) - 2006
- [j7]A. Becirovic, Peter Paule, Veronika Pillwein, Axel Riese, Carsten Schneider, Joachim Schöberl:
Hypergeometric Summation Algorithms for High-order Finite Elements. Computing 78(3): 235-249 (2006) - [j6]Manuel Kauers, Carsten Schneider:
Indefinite summation with unspecified summands. Discret. Math. 306(17): 2073-2083 (2006) - [c4]Carsten Schneider, Gerhard Arminger:
Factor Analysis for Extraction of Structural Components and Prediction in Time Series. GfKl 2006: 273-280 - [c3]Manuel Kauers, Carsten Schneider:
Application of unspecified sequences in symbolic summation. ISSAC 2006: 177-183 - 2005
- [j5]Carsten Schneider:
Degree Bounds to Find Polynomial Solutions of Parameterized Linear Difference Equations in Pi-Sigma-Fields. Appl. Algebra Eng. Commun. Comput. 16(1): 1-32 (2005) - [j4]George E. Andrews, Peter Paule, Carsten Schneider:
Plane partitions VI: Stembridge's TSPP theorem. Adv. Appl. Math. 34(4): 709-739 (2005) - [j3]Carsten Schneider:
A new Sigma approach to multi-summation. Adv. Appl. Math. 34(4): 740-767 (2005) - [c2]Carsten Schneider:
Finding telescopers with minimal depth for indefinite nested sum and product expressions. ISSAC 2005: 285-292 - [i1]Carsten Schneider:
Some Notes On "When is 0.999... equal to 1?". Mathematics, Algorithms, Proofs 2005 - 2004
- [j2]Carsten Schneider:
The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application. Discret. Math. Theor. Comput. Sci. 6(2): 365-386 (2004) - [c1]Carsten Schneider:
Symbolic summation with single-nested sum extensions. ISSAC 2004: 282-289 - 2003
- [j1]Peter Paule, Carsten Schneider:
Computer proofs of a new family of harmonic number identities. Adv. Appl. Math. 31(2): 359-378 (2003)
Coauthor Index
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from 
to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the 
of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from 
, 
, and 
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from 
.
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-10-07 21:20 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by:
