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Carsten Schneider

0000-0002-5703-4530
hep-phcs.SChep-thmath.MPmath-phhep-exmath.COmath.NTmath.AGgr-qc

On Valency

published · living versions
W_kk6drhmm·v1 · currentpublished
Ramanujan Challenge Results: AI-Assisted Evaluation Pipeline for Multi-Format Proofs
with Alan Sorani, Ashvni Narayanan, Michael Shalyt, Tali Monderer +6
1 version

Preprints & journals

134 papers in the corpus · 2006–2026
Reframing renal denervation: from blood pressure reduction to autonomic disease modification-a state-of-the-art review.42846707 · Shahverdi, Ehsan, Shahi, Sendooran, Schneider, Carsten et al.2026 · 0 citationsClinical hypertension. 2026;32:e39
Holonomic techniques for massive 3-loop form factors: the gluonic case2609.24279v1 · J. Blumlein, A. De Freitas, P. Marquard et al.2026 · 0 citationsPoS(LL2026)071
Complete Reductions and Idempotent Representations for RΠΣ∗R\Pi\Sigma^*-towers2609.24845v1 · Yiman Gao, Jakob Obrovsky, Carsten Schneider2026 · 0 citationsarXiv
Analytic results on the massive three-loop form factors: gluonic contributions2609.22034v1 · J. Blumlein, A. De Freitas, P. Marquard et al.2026 · 0 citationsarXiv
The complete three-loop unpolarized and polarized massive operator matrix elements and asymptotic Wilson coefficients2602.10334v1 · J. Ablinger, A. Behring, J. Blumlein et al.2026 · 0 citationsPoS (RADCOR2025) 076
The heavy quark-antiquark asymmetry in the variable flavor number scheme2512.13508v1 · A. Behring, J. Blumlein, A. De Freitas et al.2025 · 2 citationsarXiv
The two-mass contributions to the three-loop massive operator matrix elements A~Qg(3)\tilde{A}_{Qg}^{(3)} and ΔA~Qg(3)\Delta \tilde{A}_{Qg}^{(3)}2510.09403v1 · J. Ablinger, J. Blumlein, A. De Freitas et al.2025 · 0 citationsarXiv
The Single-Mass Variable Flavor Number Scheme at Three-Loop Order2510.02175v1 · J. Ablinger, A. Behring, J. Blumlein et al.2025 · 2 citationsarXiv
The three-loop single-mass heavy-flavor corrections to the structure functions F2(x,Q2)F_2(x,Q^2) and g1(x,Q2)g_1(x,Q^2)2509.16124v2 · J. Ablinger, A. Behring, J. Blumlein et al.2025 · 2 citationsarXiv
Telescoping Algorithms for Σ∗\Sigma^*-Extensions via Complete Reductions2506.08767v1 · Shaoshi Chen, Yiman Gao, Hui Huang et al.2025 · 0 citationsarXiv
Asymptotics for the reciprocal and shifted quotient of the partition function2412.02257v1 · Koustav Banerjee, Peter Paule, Cristian-Silviu Radu et al.2024 · 0 citationsarXiv
Challenges for analytic calculations of the massive three-loop form factors2408.07046v1 · J Blumlein, A. De Freitas, P. Marquard et al.2024 · 1 citationarXiv
The three-loop single-mass heavy flavor corrections to deep-inelastic scattering2407.02006v1 · J. Ablinger, A. Behring, J. Blumlein et al.2024 · 4 citationsarXiv
The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements AQg(3)A_{Qg}^{(3)} and ΔAQg(3)\Delta A_{Qg}^{(3)}2403.00513v1 · J. Ablinger, A. Behring, J. Blumlein et al.2024 · 13 citationsarXiv
Creative Telescoping for Hypergeometric Double Sums2401.16314v1 · Peter Paule, Carsten Schneider2024 · 2 citationsarXiv
The first-order factorizable contributions to the three-loop massive operator matrix elements AQg(3)A_{Qg}^{(3)} and ΔAQg(3)\Delta A_{Qg}^{(3)}2311.00644v1 · J. Ablinger, A. Behring, J. Blumlein et al.2023 · 18 citationsarXiv
Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package2308.06042v1 · Johannes Bluemlein, Nikolai Fadeev, Carsten Schneider2023 · 1 citationACM Communications in Computer Algebra, Vol. 57, No. 2, Issue 224, June 2023
Analytic results on the massive three-loop form factors: quarkonic contributions2307.02983v1 · Johannes Blumlein, Abilio De Freitas, Peter Marquard et al.2023 · 11 citationsarXiv
Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering2306.16550v1 · J. Ablinger, A. Behring, J.Blumlein et al.2023 · 1 citationarXiv
Refined telescoping algorithms in RΠΣR\Pi\Sigma-extensions to reduce the degrees of the denominators2302.03563v1 · Carsten Schneider2023 · 0 citationsarXiv
Error bounds for the asymptotic expansion of the partition function2209.07887v1 · Koustav Banerje, Peter Paule, Cristian-Silviu Radu et al.2022 · 3 citationsarXiv
The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2,FL,xF3F_2, F_L, xF_3 and g1g_12208.14325v1 · J. Blumlein, P. Marquard, C. Schneider et al.2022 · 61 citationsarXiv
Computer Algebra and Hypergeometric Structures for Feynman Integrals2207.08524v1 · Johannes Bluemlein, Marco Saragnese, Carsten Schneider2022 · 0 citationsarXiv
The 3-loop anomalous dimensions from off-shell operator matrix elements2207.07943v1 · J. Blumlein, P. Marquard, C. Schneider et al.2022 · 2 citationsPoS (LL2022) 048
The SAGEX Review on Scattering Amplitudes2203.13011v3 · Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey et al.2022 · 88 citationsarXiv
The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals2203.13015v3 · Johannes Blumlein, Carsten Schneider2022 · 17 citationsJ. Phys. A: Math. Theor. 55 443005 (2022)
The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms2202.03216v1 · J. Blumlein, P. Marquard, C. Schneider et al.2022 · 13 citationsarXiv
Hypergeometric Structures in Feynman Integrals2111.15501v1 · J. Blumlein, M. Saragnese, C. Schneider2021 · 1 citationarXiv
The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements2111.12401v2 · J. Blumlein, P. Marquard, C. Schneider et al.2021 · 61 citationsarXiv
New 2- and 3-loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering2107.09350v1 · J. Ablinger, J. Blumlein, A. De Freitas et al.2021 · 0 citationsarXiv
The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements2107.06267v1 · J. Blumlein, P. Marquard, C. Schneider et al.2021 · 103 citationsarXiv
The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering2105.09572v1 · J. Blumlein, A. De Freitas, M. Saragnese et al.2021 · 20 citationsPhys. Rev. D 104, 034030 (2021)
Iterated integrals over letters induced by quadratic forms2103.08330v1 · J. Ablinger, J. Blumlein, C. Schneider2021 · 16 citationsPhys. Rev. D 103, 096025 (2021)
Solving linear difference equations with coefficients in rings with idempotent representations2102.03307v1 · Jakob Ablinger, Carsten Schneider2021 · 5 citationsarXiv
Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation2102.01471v3 · Carsten Schneider2021 · 14 citationsarXiv
The Polarized Transition Matrix Element Agq(N)A_{gq}(N) of the Variable Flavor Number Scheme at O(αs3)O(\alpha_s^3)2101.05733v1 · A. Behring, J. Blumlein, A. De Freitas et al.2021 · 29 citationsarXiv
Representation of hypergeometric products of higher nesting depths in difference rings2011.08775v1 · Evans Doe Ocansey, Carsten Schneider2020 · 5 citationsarXiv
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗\Pi\mathbf\Sigma^*-field extensions2005.04944v2 · Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek et al.2020 · 10 citationsarXiv
The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element Agg,Q(3)A_{gg,Q}^{(3)}2004.08916v1 · J. Ablinger, J. Blumlein, A. De Freitas et al.2020 · 19 citationsarXiv
A case study for ζ(4)\zeta(4)2004.08158v2 · Carsten Schneider, Wadim Zudilin2020 · 3 citationsin: Transcendence in Algebra, Combinatorics, Geometry and Number Theory, A. Bostan and K. Raschel (eds.), Springer Proceedings in Mathematics & Statistics 373 (2021), 421--435
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra2003.01921v2 · Carsten Schneider2020 · 0 citationsarXiv
A refined machinery to calculate large moments from coupled systems of linear differential equations1912.04390v1 · Johannes Blumlein, Peter Marquard, Carsten Schneider2019 · 4 citationsarXiv
The three-loop single mass polarized pure singlet operator matrix element1912.02536v1 · J. Ablinger, A. Behring, J. Blumlein et al.2019 · 36 citationsarXiv
The three-loop polarized pure singlet operator matrix element with two different masses1911.11630v1 · J. Ablinger, J. Blumlein, A. De Freitas et al.2019 · 24 citationsarXiv
The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation1911.06189v1 · Arnd Behring, Johannes Blumlein, Abilio De Freitas et al.2019 · 0 citationsarXiv
Minimal representations and algebraic relations for single nested products1911.04837v1 · Carsten Schneider2019 · 11 citationsarXiv
From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms1911.04411v1 · J. Blumlein, A. Maier, P. Marquard et al.2019 · 16 citationsarXiv
The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements1908.03779v1 · A. Behring, J. Blumlein, A. De Freitas et al.2019 · 47 citationsarXiv
The Heavy Fermion Contributions to the Massive Three Loop Form Factors1908.00357v1 · J. Blumlein, P. Marquard, N. Rana et al.2019 · 44 citationsarXiv
Three loop heavy quark form factors and their asymptotic behavior1906.05829v1 · J. Ablinger, J. Blumlein, P. Marquard et al.2019 · 0 citationsarXiv
Career total: 267 works. 134 are in this corpus.Showing the 50 most recent.

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