Blümlein, Johannes Analytic integration methods in quantum field theory: an introduction. (English) Zbl 07458360 Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 1-33 (2021). MSC: 81V22 81Q30 81T18 81Q15 81T15 81T12 PDF BibTeX XML Cite \textit{J. Blümlein}, in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 1--33 (2021; Zbl 07458360) Full Text: DOI arXiv OpenURL
Blümlein, Johannes Large scale analytic calculations in quantum field theories. (English) Zbl 07293159 Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 63-87 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{J. Blümlein}, in: Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17--18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. 63--87 (2020; Zbl 07293159) Full Text: DOI arXiv Link OpenURL
Adams, Luise; Bogner, Christian; Weinzierl, Stefan The elliptic sunrise. (English) Zbl 1444.81017 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 133-143 (2020). MSC: 81Q30 11G55 33E05 PDF BibTeX XML Cite \textit{L. Adams} et al., Springer Proc. Math. Stat. 314, 133--143 (2020; Zbl 1444.81017) Full Text: DOI arXiv OpenURL
Ecalle, Jean The scrambling operators applied to multizeta algebra and singular perturbation analysis. (English) Zbl 1439.11221 Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 133-325 (2020). MSC: 11M32 30D05 33E20 34E20 PDF BibTeX XML Cite \textit{J. Ecalle}, IRMA Lect. Math. Theor. Phys. 32, 133--325 (2020; Zbl 1439.11221) Full Text: DOI OpenURL
Hoang Ngoc Minh, Vincel On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\). (English) Zbl 07469108 Confluentes Math. 11, No. 2, 25-64 (2019). MSC: 05E16 11M32 16T05 20F10 33F10 44A20 PDF BibTeX XML Cite \textit{V. Hoang Ngoc Minh}, Confluentes Math. 11, No. 2, 25--64 (2019; Zbl 07469108) Full Text: DOI OpenURL
Blümlein, Johannes; Schneider, Carsten Analytic computing methods for precision calculations in quantum field theory. (English) Zbl 1392.81192 Int. J. Mod. Phys. A 33, No. 17, Article ID 1830015, 35 p. (2018). MSC: 81T18 81V05 81T15 46L60 PDF BibTeX XML Cite \textit{J. Blümlein} and \textit{C. Schneider}, Int. J. Mod. Phys. A 33, No. 17, Article ID 1830015, 35 p. (2018; Zbl 1392.81192) Full Text: DOI arXiv OpenURL
Henn, J. M.; Smirnov, A. V.; Smirnov, V. A. Evaluating multiple polylogarithm values at sixth roots of unity up to weight six. (English) Zbl 1361.81105 Nucl. Phys., B 919, 315-324 (2017). MSC: 81T18 81Q30 11G55 PDF BibTeX XML Cite \textit{J. M. Henn} et al., Nucl. Phys., B 919, 315--324 (2017; Zbl 1361.81105) Full Text: DOI arXiv OpenURL
Panzer, Erik Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals. (English) Zbl 1344.81024 Comput. Phys. Commun. 188, 148-166 (2015). MSC: 81-04 81Q30 81-08 PDF BibTeX XML Cite \textit{E. Panzer}, Comput. Phys. Commun. 188, 148--166 (2015; Zbl 1344.81024) Full Text: DOI arXiv OpenURL
Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. (English) Zbl 1323.81097 Nucl. Phys., B 885, 409-447 (2014). MSC: 81U35 81V35 81V05 81T18 11G55 PDF BibTeX XML Cite \textit{J. Ablinger} et al., Nucl. Phys., B 885, 409--447 (2014; Zbl 1323.81097) Full Text: DOI arXiv OpenURL
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. (English) Zbl 1295.81071 J. Math. Phys. 54, No. 8, 082301, 74 p. (2013). Reviewer: Sergiy Koshkin (Houston) MSC: 81Q30 81V05 11G55 81T18 81U35 PDF BibTeX XML Cite \textit{J. Ablinger} et al., J. Math. Phys. 54, No. 8, 082301, 74 p. (2013; Zbl 1295.81071) Full Text: DOI arXiv Link OpenURL
Yukalov, V. I. Decoherence and equilibration under nondestructive measurements. (English) Zbl 1237.81012 Ann. Phys. 327, No. 2, 253-263 (2012). MSC: 81P15 81S22 PDF BibTeX XML Cite \textit{V. I. Yukalov}, Ann. Phys. 327, No. 2, 253--263 (2012; Zbl 1237.81012) Full Text: DOI arXiv OpenURL
Deneufchâtel, Matthieu; Duchamp, Gérard H. E.; Hoang Ngoc Minh, Vincel; Solomon, Allan I. Independence of hyperlogarithms over function fields via algebraic combinatorics. (English) Zbl 1279.11069 Winkler, Franz (ed.), Algebraic informatics. 4th international conference, CAI 2011, Linz, Austria, June 21–24, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21492-9/pbk). Lecture Notes in Computer Science 6742, 127-139 (2011). MSC: 11G55 34M15 PDF BibTeX XML Cite \textit{M. Deneufchâtel} et al., Lect. Notes Comput. Sci. 6742, 127--139 (2011; Zbl 1279.11069) Full Text: DOI arXiv OpenURL
Kalmykov, Mikhail Yu.; Kniehl, Bernd A. Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters. (English) Zbl 1192.81351 Nucl. Phys., B 809, No. 3, 365-405 (2009). MSC: 81V10 81T15 33C05 33C20 41A20 PDF BibTeX XML Cite \textit{M. Yu. Kalmykov} and \textit{B. A. Kniehl}, Nucl. Phys., B 809, No. 3, 365--405 (2009; Zbl 1192.81351) Full Text: DOI arXiv OpenURL
Oi, Shu Gauss hypergeometric functions, multiple polylogarithms, and multiple zeta values. (English) Zbl 1188.33009 Publ. Res. Inst. Math. Sci. 45, No. 4, 981-1009 (2009). Reviewer: Matilde Lalin (Montreal) MSC: 33C05 11M32 33B30 PDF BibTeX XML Cite \textit{S. Oi}, Publ. Res. Inst. Math. Sci. 45, No. 4, 981--1009 (2009; Zbl 1188.33009) Full Text: DOI OpenURL
Dullin, H. R.; Tsygvintsev, A. V. On the analytic non-integrability of the rattleback problem. (English) Zbl 1163.70010 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 495-517 (2008). MSC: 70H07 70F25 70E18 PDF BibTeX XML Cite \textit{H. R. Dullin} and \textit{A. V. Tsygvintsev}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 495--517 (2008; Zbl 1163.70010) Full Text: DOI arXiv Numdam EuDML OpenURL
Gehrmann, T.; Remiddi, E. Numerical evaluation of two-dimensional harmonic polylogarithms. (English) Zbl 1001.65020 Comput. Phys. Commun. 144, No. 2, 200-223 (2002). MSC: 65D20 81T80 33B30 33F05 PDF BibTeX XML Cite \textit{T. Gehrmann} and \textit{E. Remiddi}, Comput. Phys. Commun. 144, No. 2, 200--223 (2002; Zbl 1001.65020) Full Text: DOI arXiv OpenURL
Hoang Ngoc Minh Summations of polylogarithms via Evaluation transform. (English) Zbl 1037.33500 Math. Comput. Simul. 42, No. 4-6, 707-728 (1996). MSC: 33E99 11Y99 68W30 PDF BibTeX XML Cite \textit{Hoang Ngoc Minh}, Math. Comput. Simul. 42, No. 4--6, 707--728 (1996; Zbl 1037.33500) Full Text: DOI OpenURL
De Concini, C.; Procesi, C. Hyperplane arrangements and holonomy equations. (English) Zbl 0848.18004 Sel. Math., New Ser. 1, No. 3, 495-535 (1995). Reviewer: R.Lee (New Haven) MSC: 18D10 17B37 57M25 PDF BibTeX XML Cite \textit{C. De Concini} and \textit{C. Procesi}, Sel. Math., New Ser. 1, No. 3, 495--535 (1995; Zbl 0848.18004) Full Text: DOI OpenURL
Hain, Richard M. The de Rham homotopy theory of complex algebraic varieties. I. (English) Zbl 0637.55006 \(K\)-Theory 1, No. 3, 271-324 (1987). Reviewer: St.Papadima MSC: 55P62 14F35 32J25 57T30 PDF BibTeX XML Cite \textit{R. M. Hain}, \(K\)-Theory 1, No. 3, 271--324 (1987; Zbl 0637.55006) Full Text: DOI OpenURL
Hain, Richard M. On a generalization of Hilbert’s 21st problem. (English) Zbl 0616.14004 Ann. Sci. Éc. Norm. Supér. (4) 19, No. 4, 609-627 (1986). Reviewer: A.Buium MSC: 14C30 35Q15 14F10 PDF BibTeX XML Cite \textit{R. M. Hain}, Ann. Sci. Éc. Norm. Supér. (4) 19, No. 4, 609--627 (1986; Zbl 0616.14004) Full Text: DOI Numdam EuDML OpenURL
Klares, Bernard; Sadler, Charles Réduction de Birkhoff des 1-formes différentielles à partie singulière bien adaptée et à coefficients à valeurs dans une algèbre de Lie libre. (Birkhoff reduction of differential 1-forms with good adapted singular part and with coefficients with values in a free Lie algebra). (French) Zbl 0579.58001 Ann. Inst. Fourier 36, No. 1, 155-181 (1986). MSC: 58A10 58A17 PDF BibTeX XML Cite \textit{B. Klares} and \textit{C. Sadler}, Ann. Inst. Fourier 36, No. 1, 155--181 (1986; Zbl 0579.58001) Full Text: DOI Numdam EuDML OpenURL
Fliess, Michel Fonctionnelles causales non linéaires et indéterminées non commutatives. (French) Zbl 0476.93021 Bull. Soc. Math. Fr. 109, 3-40 (1981). MSC: 93B15 32A05 32A25 PDF BibTeX XML Cite \textit{M. Fliess}, Bull. Soc. Math. Fr. 109, 3--40 (1981; Zbl 0476.93021) Full Text: DOI Numdam EuDML OpenURL
Chudnovsky, D. V.; Chudnovsky, G. V. The Bäcklund transformation for isomonodromy deformation Schlesinger equations. (English) Zbl 0455.35098 Lett. Math. Phys. 4, 373-380 (1980). MSC: 35P25 41A21 34G10 35A22 PDF BibTeX XML Cite \textit{D. V. Chudnovsky} and \textit{G. V. Chudnovsky}, Lett. Math. Phys. 4, 373--380 (1980; Zbl 0455.35098) Full Text: DOI OpenURL
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio Holonomic quantum fields. II: The Riemann-Hilbert problem. (English) Zbl 0433.35058 Publ. Res. Inst. Math. Sci., Kyoto Univ. 15, 201-278 (1979). MSC: 35Q15 35Q99 81T99 PDF BibTeX XML Cite \textit{M. Sato} et al., Publ. Res. Inst. Math. Sci. 15, 201--278 (1979; Zbl 0433.35058) Full Text: DOI OpenURL
Takano, Kyoichi A reduction theorem for a linear Pfaffian system with regular singular points. (English) Zbl 0377.35012 Arch. Math. 31, 310-316 (1978). MSC: 35F05 58A10 PDF BibTeX XML Cite \textit{K. Takano}, Arch. Math. 31, 310--316 (1978; Zbl 0377.35012) Full Text: DOI OpenURL
Röhrl, Helmut Holomorphic fiber bundles over Riemann surfaces. (English) Zbl 0106.05502 Bull. Am. Math. Soc. 68, 125-160 (1962). Reviewer: E. Brieskorn MSC: 32-XX 57-XX PDF BibTeX XML Cite \textit{H. Röhrl}, Bull. Am. Math. Soc. 68, 125--160 (1962; Zbl 0106.05502) Full Text: DOI OpenURL
Saito, Tosiya A remark on an irregular singular point of the second order linear differential equation. (English) Zbl 0099.06701 Kōdai Math. Semin. Rep. 13, 14-19 (1961). PDF BibTeX XML Cite \textit{T. Saito}, Kōdai Math. Semin. Rep. 13, 14--19 (1961; Zbl 0099.06701) Full Text: DOI OpenURL
Röhrl, Helmut Das Riemann-Hilbertsche Problem der Theorie der linearen Differentialgleichungen. (German) Zbl 0088.06001 Math. Ann. 133, 1-25 (1957); Druckfehlerberichtigung ibid. 472 (1957). Reviewer: M. Hervé MSC: 34-XX PDF BibTeX XML Cite \textit{H. Röhrl}, Math. Ann. 133, 1--25 (1957; Zbl 0088.06001) Full Text: DOI EuDML OpenURL