Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.; Schönwald, K. The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\). (English) Zbl 07870542 Phys. Lett., B 854, Article ID 138713, 8 p. (2024). MSC: 81-XX 83-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forstnerič, Franc; Kalaj, David Schwarz-Pick lemma for harmonic maps which are conformal at a point. (English) Zbl 1544.53071 Anal. PDE 17, No. 3, 981-1003 (2024). Reviewer: Martin Chuaqui Farrú (Santiago de Chile) MSC: 53C43 30C20 30C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández, Julio C. Ramos; Rivera-Sarmiento, María A.; Salas-Brown, Margot The essential norm of bounded diagonal Infinite matrices acting on Banach sequence spaces. (English) Zbl 07813281 Demonstr. Math. 57, Article ID 20230263, 8 p. (2024). MSC: 47B60 46B45 46E30 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.; Schönwald, K. The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\). (English) Zbl 1541.81036 Nucl. Phys., B 999, Article ID 116427, 42 p. (2024). MSC: 81P68 15A23 81T18 81S22 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nascimento, Genyle Monodromies of projective structures on surface of finite-type. (English) Zbl 1546.57056 Geom. Dedicata 218, No. 1, Paper No. 1, 22 p. (2024). Reviewer: Gye-Seon Lee (Seoul) MSC: 57M50 34M56 30F35 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baba, Shinpei Bers’ simultaneous uniformization and the intersection of Poincaré holonomy varieties. (English) Zbl 1529.30040 Geom. Funct. Anal. 33, No. 6, 1379-1453 (2023). MSC: 30F10 30F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Fils, Thomas Holonomy of complex projective structures on surfaces with prescribed branch data. (English) Zbl 1545.57017 J. Topol. 16, No. 1, 430-487 (2023). Reviewer: Eugene Xia (Tainan) MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behring, A.; Blümlein, J.; Schönwald, K. The inverse Mellin transform via analytic continuation. (English) Zbl 1547.81148 J. High Energy Phys. 2023, No. 6, Paper No. 62, 48 p. (2023). MSC: 81T15 81V05 81V10 81T18 81Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Fils, Thomas Pentagon representations and complex projective structures on closed surfaces. (Représentations pentagones et structures projectives complexes sur les surfaces fermées.) (English. French summary) Zbl 1520.57025 Ann. Inst. Fourier 73, No. 1, 423-445 (2023). Reviewer: Samyon R. Nasyrov (Kazan) MSC: 57M50 30F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonelli, Giulio; Iossa, Cristoforo; Lichtig, Daniel Panea; Tanzini, Alessandro Irregular Liouville correlators and connection formulae for Heun functions. (English) Zbl 1522.81459 Commun. Math. Phys. 397, No. 2, 635-727 (2023). MSC: 81T40 62H20 81R10 17B68 14B05 81Q20 34M40 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blümlein, Johannes; Schneider, Carsten The SAGEX review on scattering amplitudes chapter 4: multi-loop Feynman integrals. (English) Zbl 1520.81133 J. Phys. A, Math. Theor. 55, No. 44, Article ID 443005, 37 p. (2022). MSC: 81T18 81Q30 81T13 81T15 81T32 81V17 81U20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lyamaev, S. Yu. Summation of Poincaré theta series in the Schottky model. (English. Russian original) Zbl 1497.65006 Comput. Math. Math. Phys. 62, No. 7, 1059-1073 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1085-1099 (2022). MSC: 65B10 30F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bogo, Gabriele Accessory parameters for four-punctured spheres. (English) Zbl 1486.30117 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 024, 20 p. (2022). MSC: 30F35 34M03 32G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berndtsson, Bo (ed.); Fornaess, John Erik (ed.); Shcherbina, Nikolay (ed.) Geometric methods of complex analysis. Abstracts from the workshop held May 16–22, 2021 (hybrid meeting). (English) Zbl 1506.00045 Oberwolfach Rep. 18, No. 2, 1291-1345 (2021). MSC: 00B05 00B25 32-06 14-06 32Qxx 32Hxx 32Uxx × Cite Format Result Cite Review PDF Full Text: DOI
Andreev, Valentin V.; McNicholl, Timothy H. Computable complex analysis. (English) Zbl 1495.03060 Brattka, Vasco (ed.) et al., Handbook of computability and complexity in analysis. Cham: Springer. Theory Appl. Comput., 101-140 (2021). Reviewer: Daniel Graça (Faro) MSC: 03D78 30C99 × Cite Format Result Cite Review PDF Full Text: DOI
Raab, Clemens G. Nested integrals and rationalizing transformations. (English) Zbl 1487.68257 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., 395-422 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 68W30 12H05 33F10 81Q30 81T18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blümlein, Johannes Analytic integration methods in quantum field theory: an introduction. (English) Zbl 1484.81104 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Francaviglia, Stefano; Ruffoni, Lorenzo Local deformations of branched projective structures: Schiffer variations and the Teichmüller map. (English) Zbl 1480.57025 Geom. Dedicata 214, 21-48 (2021). Reviewer: Hongtaek Jung (Pohang) MSC: 57M50 14H15 32G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Subhojoy Monodromy groups of \(\mathbb{C}\mathrm{P}^1\)-structures on punctured surfaces. (English) Zbl 1479.57058 J. Topol. 14, No. 2, 538-559 (2021). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57M50 30F60 32G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bothner, Thomas On the origins of Riemann-Hilbert problems in mathematics. (English) Zbl 1462.30070 Nonlinearity 34, No. 4, R1-R73 (2021). MSC: 30E25 45M05 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Banks, Peter; Panzer, Erik; Pym, Brent Multiple zeta values in deformation quantization. (English) Zbl 1454.11161 Invent. Math. 222, No. 1, 79-159 (2020); correction ibid. 229, No. 1, 449 (2022). Reviewer: István Mező (Nanjing) MSC: 11M32 14H10 53D55 81Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allegretti, Dylan G. L.; Bridgeland, Tom The monodromy of meromorphic projective structures. (English) Zbl 1461.30099 Trans. Am. Math. Soc. 373, No. 9, 6321-6367 (2020). Reviewer: José Javier Etayo (Madrid) MSC: 30F30 34M40 57M50 13F60 34M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Eremenko, Alexandre Metrics of constant positive curvature with four conic singularities on the sphere. (English) Zbl 1448.34161 Proc. Am. Math. Soc. 148, No. 9, 3957-3965 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M30 34M35 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C. The heavy fermion contributions to the massive three loop form factors. (English) Zbl 1448.81470 Nucl. Phys., B 949, Article ID 114751, 97 p. (2019). Reviewer: T. C. Mohan (Chennai) MSC: 81V35 81R15 81T17 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Previato, E. Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study. (English) Zbl 1428.34135 Beshaj, Lubjana (ed.) et al., Algebraic curves and their applications. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 724, 247-265 (2019). MSC: 34M56 34M55 14H70 × Cite Format Result Cite Review PDF Full Text: DOI
Ghazouani, Selim Mapping class group dynamics and the holonomy of branched affine structures. (English) Zbl 1430.37032 Math. Z. 289, No. 1-2, 1-23 (2018). MSC: 37C85 37D40 14D20 30F10 32G15 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lafforgue, Vincent Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) (French. English summary) Zbl 1395.14017 J. Am. Math. Soc. 31, No. 3, 719-891 (2018). Reviewer: J. G. M. Mars (Utrecht) MSC: 14G35 14H60 11F70 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conte, Robert Generalized Bonnet surfaces and Lax pairs of \(\mathrm{P}_{\mathrm{VI}}\). (English) Zbl 1380.34131 J. Math. Phys. 58, No. 10, 103508, 31 p. (2017). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M55 34M35 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eremenko, Alexandre; Gabrielov, Andrei; Hinkkanen, Aimo Exceptional solutions to the Painlevé VI equation. (English) Zbl 1360.34181 J. Math. Phys. 58, No. 1, 012701, 8 p. (2017). MSC: 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Panzer, Erik The parity theorem for multiple polylogarithms. (English) Zbl 1419.11109 J. Number Theory 172, 93-113 (2017). MSC: 11M32 33B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogner, Christian MPL – a program for computations with iterated integrals on moduli spaces of curves of genus zero. (English) Zbl 1375.81164 Comput. Phys. Commun. 203, 339-353 (2016). MSC: 81S40 68W30 81-04 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Litvinov, Alexey; Lukyanov, Sergei; Nekrasov, Nikita; Zamolodchikov, Alexander Classical conformal blocks and Painlevé VI. (English) Zbl 1333.81375 J. High Energy Phys. 2014, No. 7, Paper No. 144, 19 p. (2014). MSC: 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubrovin, B.; Kapaev, A. On an isomonodromy deformation equation without the Painlevé property. (English) Zbl 1322.34102 Russ. J. Math. Phys. 21, No. 1, 9-35 (2014). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M56 34M35 34M40 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takhtajan, L. A. Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation. (English. Russian original) Zbl 1321.83031 Theor. Math. Phys. 181, No. 1, 1307-1316 (2014); translation from Teor. Mat. Fiz. 181, No. 1, 206-217 (2014). MSC: 83C57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C. Iterated binomial sums and their associated iterated integrals. (English) Zbl 1306.81141 J. Math. Phys. 55, No. 11, 112301, 57 p. (2014). Reviewer: Jochen Zahn (Leipzig) MSC: 81T18 81T15 42C15 11R18 11B65 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ablinger, Jakob; Blümlein, Johannes Harmonic sums, polylogarithms, special numbers, and their generalizations. (English) Zbl 1308.81140 Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 1-32 (2013). MSC: 81T18 81Q30 11G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krömer, Ralf The set of paths in a space and its algebraic structure. A historical account. (English. French summary) Zbl 1382.01006 Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 5, 915-968 (2013). Reviewer: Christopher Hollings (Oxford) MSC: 01A60 55-03 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rakityansky, S. A.; Elander, N. Analytic structure of the multichannel Jost matrix for potentials with coulombic tails. (English) Zbl 1296.81120 J. Math. Phys. 54, No. 12, 122112, 17 p. (2013). Reviewer: Miyeon Kwon (Platteville) MSC: 81U35 81U20 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Brezhnev, Yu. V. Elliptic solitons, Fuchsian equations, and algorithms. (English. Russian original) Zbl 1276.35052 St. Petersbg. Math. J. 24, No. 4, 555-574 (2013); translation from Algebra Anal. 24, No. 4, 34-63 (2012). MSC: 35C08 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Lizhen; Papadopoulos, Athanase Historical development of Teichmüller theory. (English) Zbl 1266.01022 Arch. Hist. Exact Sci. 67, No. 2, 119-147 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A60 30-03 30F60 32-03 32G15 × Cite Format Result Cite Review PDF Full Text: DOI
Brezhnev, Yurii V. A note on Chudnovsky’s Fuchsian equations. (English) Zbl 1264.34173 J. Differ. Equations 253, No. 12, 3727-3751 (2012). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, R. R.; Vyugin, I. V. Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems. (English) Zbl 1235.34234 J. Geom. Phys. 61, No. 12, 2419-2435 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M50 34M55 32A20 34M03 34M56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, R. R. On movable singularities of Garnier systems. (English. Russian original) Zbl 1232.34118 Math. Notes 88, No. 6, 806-818 (2010); translation from Mat. Zametki 88, No. 6, 845-858 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M56 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brezhnev, Yu. V. On uniformization of Burnside’s curve \(y^2 = x^5 - x\). (English) Zbl 1283.30070 J. Math. Phys. 50, No. 10, 103519, 23 p. (2009). MSC: 30F10 11G05 14H45 33D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conte, Robert; Musette, Micheline Towards second order Lax pairs to discrete Painlevé equations of first degree. (English) Zbl 1115.37343 Chaos Solitons Fractals 11, No. 1-3, 41-52 (2000). MSC: 37K10 34M55 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zamolodchikov, A.; Zamolodchikov, Al. Conformal bootstrap in Liouville field theory. (English) Zbl 0925.81301 Nucl. Phys., B 477, No. 2, 577-605 (1996). MSC: 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seppälä, Mika Computation of period matrices of real algebraic curves. (English) Zbl 0805.14029 Discrete Comput. Geom. 11, No. 1, 65-81 (1994). Reviewer: M.Coste (Rennes) MSC: 14Q05 30F35 14H45 68W30 14P05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Luo, Feng Monodromy groups of projective structures on punctured surfaces. (English) Zbl 0778.30043 Invent. Math. 111, No. 3, 541-555 (1993). Reviewer: Luo Feng (New Brunswick) MSC: 30F35 32G07 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vanden Eynde, Ria Historical evolution of the concept of homotopic paths. (English) Zbl 0766.01015 Arch. Hist. Exact Sci. 45, No. 2, 127-188 (1992). Reviewer: R.Cooke (Burlington) MSC: 01A55 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Martinet, Jean; Ramis, Jean-Pierre Elementary acceleration and multisummability. I. (English) Zbl 0748.12005 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 4, 331-401 (1991). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 34M99 34A30 34A25 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Shields, Allen Years ago. (English) Zbl 0639.01016 Math. Intell. 10, No. 1, 18-22 (1988). Reviewer: K.-B.Gundlach MSC: 01A60 30-03 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Chudnovsky, D. V.; Chudnovsky, G. V. A random walk in higher arithmetic. (English) Zbl 0607.10027 Adv. Appl. Math. 7, 101-122 (1986). Reviewer: F.Baldassarri MSC: 11J81 12H05 60G50 41A21 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Gesztesy, F.; Karner, G.; Streit, L. Charged particles with a short-range force: Perturbation theory with respect to the range and to additional effects. (English) Zbl 0587.34045 J. Math. Phys. 27, 249-261 (1986). MSC: 34E15 78A35 34L99 × Cite Format Result Cite Review PDF Full Text: DOI
Zograf, P. G.; Takhtadzhyan, L. A. Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil-Petersson metric on the Teichmüller space. (English. Russian original) Zbl 0612.32018 Funct. Anal. Appl. 19, 219-220 (1985); translation from Funkts. Anal. Prilozh. 19, No. 3, 67-68 (1985). Reviewer: J.Ławrynowicz (Łódź) MSC: 32G15 31C15 × Cite Format Result Cite Review PDF Full Text: DOI
Venkov, A. B. Accessory coefficients of the second-order Fuchs equation with real singular points. (English) Zbl 0562.30032 J. Sov. Math. 29, 1111-1120 (1985). MSC: 30F35 11F03 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
Kuiken, Kathryn; Masterson, John T. On the monodromy groups of lifted Euler equations. (English) Zbl 0534.34008 Glasg. Math. J. 25, 47-57 (1984). MSC: 34M35 30F10 30F99 × Cite Format Result Cite Review PDF Full Text: DOI
Magnus, W. The uses of 2 by 2 matrices in combinatorial group theory. A survey. (English) Zbl 0468.20031 Result. Math. 4, 171-192 (1981). MSC: 20F05 20F38 20H10 20F28 20H20 × Cite Format Result Cite Review PDF Full Text: DOI
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Hejhal, Dennis A. The variational theory of linearly polymorphic functions. (English) Zbl 0394.30035 J. Anal. Math. 30, 215-264 (1976). MSC: 30F10 30F30 34M99 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Hejhal, Dennis A. Monodromy groups and linearly polymorphic functions. (English) Zbl 0333.34002 Acta Math. 135, 1-55 (1975). MSC: 34M35 30F10 32G15 30F35 × Cite Format Result Cite Review PDF Full Text: DOI
Goldman, L. Solutions of first order differential equations which are solutions of linear differential equations of higher order. (English) Zbl 0146.26602 Proc. Am. Math. Soc. 10, 936-939 (1959). × Cite Format Result Cite Review PDF Full Text: DOI
Ma, S. T. Power-series expansion of the unitary operator \(U(t,t_0)\). (English) Zbl 0050.42902 Phys. Rev., II. Ser. 91, 392 (1953). × Cite Format Result Cite Review PDF Full Text: DOI
Jost, R.; Pais, A. On the scattering of a particle by a static potential. (English) Zbl 0042.45206 Phys. Rev., II. Ser. 82, 840-851 (1951). × Cite Format Result Cite Review PDF Full Text: DOI