Jeronimo, Gabriela; Solernó, Pablo Weak identifiability for differential algebraic systems. (English) Zbl 1517.12006 Adv. Appl. Math. 147, Article ID 102519, 31 p. (2023). MSC: 12H05 93B25 93B30 13P25 PDFBibTeX XMLCite \textit{G. Jeronimo} and \textit{P. Solernó}, Adv. Appl. Math. 147, Article ID 102519, 31 p. (2023; Zbl 1517.12006) Full Text: DOI
Byer, Cameron; Dvorachek, Tyler; Eckard, Emily; Harrington, Joshua; Wise, Lindsey; Wong, Tony W. H. On the properties of fibotomic polynomials. (English) Zbl 1510.11037 Adv. Appl. Math. 138, Article ID 102344, 21 p. (2022). MSC: 11B39 11C08 12E10 PDFBibTeX XMLCite \textit{C. Byer} et al., Adv. Appl. Math. 138, Article ID 102344, 21 p. (2022; Zbl 1510.11037) Full Text: DOI arXiv
Arreche, Carlos E.; Zhang, Yi Computing differential Galois groups of second-order linear \(q\)-difference equations. (English) Zbl 1478.39005 Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022). MSC: 39A13 39A12 12H10 12H05 20H20 PDFBibTeX XMLCite \textit{C. E. Arreche} and \textit{Y. Zhang}, Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022; Zbl 1478.39005) Full Text: DOI arXiv
Lange-Hegermann, Markus; Robertz, Daniel; Seiler, Werner M.; Seiß, Matthias Singularities of algebraic differential equations. (English) Zbl 1484.34052 Adv. Appl. Math. 131, Article ID 102266, 56 p. (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34A09 34M15 12H05 35A21 13P10 34M35 68W30 32S05 PDFBibTeX XMLCite \textit{M. Lange-Hegermann} et al., Adv. Appl. Math. 131, Article ID 102266, 56 p. (2021; Zbl 1484.34052) Full Text: DOI arXiv
Wibmer, Michael On the dimension of systems of algebraic difference equations. (English) Zbl 1468.12005 Adv. Appl. Math. 123, Article ID 102136, 35 p. (2021). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 12H10 39A05 39A10 PDFBibTeX XMLCite \textit{M. Wibmer}, Adv. Appl. Math. 123, Article ID 102136, 35 p. (2021; Zbl 1468.12005) Full Text: DOI arXiv
Morales-Ruiz, Juan J.; Rueda, Sonia L.; Zurro, Maria-Angeles Factorization of KdV Schrödinger operators using differential subresultants. (English) Zbl 1444.14064 Adv. Appl. Math. 120, Article ID 102065, 31 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 12H05 13P15 35Q53 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Adv. Appl. Math. 120, Article ID 102065, 31 p. (2020; Zbl 1444.14064) Full Text: DOI arXiv
Jiménez-Pastor, Antonio; Pillwein, Veronika; Singer, Michael F. Some structural results on \(\mathrm{D}^n\)-finite functions. (English) Zbl 1480.12006 Adv. Appl. Math. 117, Article ID 102027, 29 p. (2020). Reviewer: Varadharaj Srinivasan (Punjab) MSC: 12H05 34A30 68W30 PDFBibTeX XMLCite \textit{A. Jiménez-Pastor} et al., Adv. Appl. Math. 117, Article ID 102027, 29 p. (2020; Zbl 1480.12006) Full Text: DOI
Levin, Alexander Difference dimension quasi-polynomials. (English) Zbl 1418.12003 Adv. Appl. Math. 89, 1-17 (2017). Reviewer: Thomas Dreyfus (Paris) MSC: 12H10 39A05 39A14 PDFBibTeX XMLCite \textit{A. Levin}, Adv. Appl. Math. 89, 1--17 (2017; Zbl 1418.12003) Full Text: DOI arXiv
Magid, Andy R. Differential étale extensions and differential modules over differential rings. (English) Zbl 1362.12003 Adv. Appl. Math. 72, 195-214 (2016). Reviewer: Andreas Maurischat (Heidelberg) MSC: 12H05 13N05 PDFBibTeX XMLCite \textit{A. R. Magid}, Adv. Appl. Math. 72, 195--214 (2016; Zbl 1362.12003) Full Text: DOI
D’Alfonso, Lisi; Jeronimo, Gabriela; Solernó, Pablo A decision method for the integrability of differential-algebraic Pfaffian systems. (English) Zbl 1334.35016 Adv. Appl. Math. 72, 175-194 (2016). MSC: 35F50 12H20 35A30 PDFBibTeX XMLCite \textit{L. D'Alfonso} et al., Adv. Appl. Math. 72, 175--194 (2016; Zbl 1334.35016) Full Text: DOI arXiv
Levin, Alexander Dimension polynomials of difference local algebras. (English) Zbl 1393.12009 Adv. Appl. Math. 72, 166-174 (2016). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 39A05 PDFBibTeX XMLCite \textit{A. Levin}, Adv. Appl. Math. 72, 166--174 (2016; Zbl 1393.12009) Full Text: DOI
Zhang, Shilong; Guo, Li; Keigher, William Monads and distributive laws for Rota-Baxter and differential algebras. (English) Zbl 1339.18003 Adv. Appl. Math. 72, 139-165 (2016). Reviewer: Alexander B. Levin (Washington) MSC: 18C15 13Nxx 16W99 18C20 12H05 PDFBibTeX XMLCite \textit{S. Zhang} et al., Adv. Appl. Math. 72, 139--165 (2016; Zbl 1339.18003) Full Text: DOI arXiv
Gerdt, Vladimir P.; Robertz, Daniel Lagrangian constraints and differential Thomas decomposition. (English) Zbl 1334.70050 Adv. Appl. Math. 72, 113-138 (2016). MSC: 70S05 12H05 68W30 81T10 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{D. Robertz}, Adv. Appl. Math. 72, 113--138 (2016; Zbl 1334.70050) Full Text: DOI arXiv
Li, Wei; Li, Ying-Hong Computation of differential Chow forms for ordinary prime differential ideals. (English) Zbl 1333.12002 Adv. Appl. Math. 72, 77-112 (2016). MSC: 12H05 68W30 PDFBibTeX XMLCite \textit{W. Li} and \textit{Y.-H. Li}, Adv. Appl. Math. 72, 77--112 (2016; Zbl 1333.12002) Full Text: DOI arXiv
Rueda, Sonia L. Differential elimination by differential specialization of Sylvester style matrices. (English) Zbl 1375.12003 Adv. Appl. Math. 72, 4-37 (2016). Reviewer: Alexander B. Levin (Washington) MSC: 12H20 34A34 PDFBibTeX XMLCite \textit{S. L. Rueda}, Adv. Appl. Math. 72, 4--37 (2016; Zbl 1375.12003) Full Text: DOI arXiv
Barkatou, Moulay (ed.); Cluzeau, Thomas (ed.); Ovchinnikov, Alexey (ed.); Regensburger, Georg (ed.); Rosenkranz, Markus (ed.) Special issue on computational aspects of differential/difference algebra and integral operators. (English) Zbl 1329.00179 Adv. Appl. Math. 72, 1-3 (2016). MSC: 00B25 12-06 PDFBibTeX XMLCite \textit{M. Barkatou} (ed.) et al., Adv. Appl. Math. 72, 1--3 (2016; Zbl 1329.00179) Full Text: DOI
Feng, Ruyong Hrushovski’s algorithm for computing the Galois group of a linear differential equation. (English) Zbl 1361.12002 Adv. Appl. Math. 65, 1-37 (2015). MSC: 12H05 34A30 68W30 PDFBibTeX XMLCite \textit{R. Feng}, Adv. Appl. Math. 65, 1--37 (2015; Zbl 1361.12002) Full Text: DOI arXiv
Arreche, Carlos E. Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation. (English) Zbl 1320.34018 Adv. Appl. Math. 57, 44-59 (2014). MSC: 34A26 12H20 13N10 20H20 34A30 37K20 PDFBibTeX XMLCite \textit{C. E. Arreche}, Adv. Appl. Math. 57, 44--59 (2014; Zbl 1320.34018) Full Text: DOI arXiv
Ovchinnikov, Alexey Difference integrability conditions for parameterized linear difference and differential equations. (English) Zbl 1315.12004 Adv. Appl. Math. 53, 61-71 (2014). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12H10 39A13 PDFBibTeX XMLCite \textit{A. Ovchinnikov}, Adv. Appl. Math. 53, 61--71 (2014; Zbl 1315.12004) Full Text: DOI arXiv
Lin, Zhicong; Zeng, Jiang Positivity properties of Jacobi-Stirling numbers and generalized Ramanujan polynomials. (English) Zbl 1281.05011 Adv. Appl. Math. 53, 12-27 (2014). MSC: 05A15 05A05 05A20 12D10 11B73 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{J. Zeng}, Adv. Appl. Math. 53, 12--27 (2014; Zbl 1281.05011) Full Text: DOI arXiv
Fonseca, Tiago On some polynomials enumerating Fully Packed Loop configurations: evaluation at negative values. (English) Zbl 1291.05007 Adv. Appl. Math. 51, No. 3, 446-466 (2013). MSC: 05A15 12D05 82B23 PDFBibTeX XMLCite \textit{T. Fonseca}, Adv. Appl. Math. 51, No. 3, 446--466 (2013; Zbl 1291.05007) Full Text: DOI arXiv
Mongelli, Pietro Total positivity properties of Jacobi-Stirling numbers. (English) Zbl 1237.05007 Adv. Appl. Math. 48, No. 2, 354-364 (2012). MSC: 05A05 05A15 12D10 11B73 PDFBibTeX XMLCite \textit{P. Mongelli}, Adv. Appl. Math. 48, No. 2, 354--364 (2012; Zbl 1237.05007) Full Text: DOI
Cucker, Felipe; Krick, Teresa; Malajovich, Gregorio; Wschebor, Mario A numerical algorithm for zero counting. III: Randomization and condition. (English) Zbl 1245.65189 Adv. Appl. Math. 48, No. 1, 215-248 (2012). MSC: 65Y20 12Y05 60G60 PDFBibTeX XMLCite \textit{F. Cucker} et al., Adv. Appl. Math. 48, No. 1, 215--248 (2012; Zbl 1245.65189) Full Text: DOI arXiv Link
Fonseca, Tiago; Nadeau, Philippe On some polynomials enumerating fully packed loop configurations. (English) Zbl 1234.05023 Adv. Appl. Math. 47, No. 3, 434-462 (2011). MSC: 05A15 05D15 12D05 82B23 PDFBibTeX XMLCite \textit{T. Fonseca} and \textit{P. Nadeau}, Adv. Appl. Math. 47, No. 3, 434--462 (2011; Zbl 1234.05023) Full Text: DOI arXiv
Ayad, Ali On factoring parametric multivariate polynomials. (English) Zbl 1200.11096 Adv. Appl. Math. 45, No. 4, 607-623 (2010). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y16 68W30 11C08 12D05 14C05 PDFBibTeX XMLCite \textit{A. Ayad}, Adv. Appl. Math. 45, No. 4, 607--623 (2010; Zbl 1200.11096) Full Text: DOI
Gatermann, Karin; Wolfrum, Matthias Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry. (English) Zbl 1075.65074 Adv. Appl. Math. 34, No. 2, 252-294 (2005). MSC: 65H10 92E10 05C90 12Y05 26C10 PDFBibTeX XMLCite \textit{K. Gatermann} and \textit{M. Wolfrum}, Adv. Appl. Math. 34, No. 2, 252--294 (2005; Zbl 1075.65074) Full Text: DOI
Shankar, Shiva The Nullstellensatz for systems of PDE. (English) Zbl 0939.35012 Adv. Appl. Math. 23, No. 4, 360-374 (1999). Reviewer: Alexander I.Kheyfits (Bronx) MSC: 35B05 12D10 13F20 PDFBibTeX XMLCite \textit{S. Shankar}, Adv. Appl. Math. 23, No. 4, 360--374 (1999; Zbl 0939.35012) Full Text: DOI
Beyer, W. A.; Louck, J. D. Transfinite function iteration and surreal numbers. (English) Zbl 0999.12016 Adv. Appl. Math. 18, No. 3, 333-350 (1997). MSC: 12L99 03E10 39B12 26A18 37B99 37E99 PDFBibTeX XMLCite \textit{W. A. Beyer} and \textit{J. D. Louck}, Adv. Appl. Math. 18, No. 3, 333--350 (1997; Zbl 0999.12016) Full Text: DOI
Barvinok, Alexander; Fomin, Sergey Sparse interpolation of symmetric polynomials. (English) Zbl 0866.68045 Adv. Appl. Math. 18, No. 3, 271-285 (1997). MSC: 68Q25 12H05 41A05 PDFBibTeX XMLCite \textit{A. Barvinok} and \textit{S. Fomin}, Adv. Appl. Math. 18, No. 3, 271--285 (1997; Zbl 0866.68045) Full Text: DOI Link
Verschelde, Jan; Gatermann, Karin Symmetric Newton polytopes for solving sparse polynomial systems. (English) Zbl 0832.65048 Adv. Appl. Math. 16, No. 1, 95-127 (1995). Reviewer: I.Coroian (Baia Mare) MSC: 65H10 65H20 12Y05 26C10 55P15 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{K. Gatermann}, Adv. Appl. Math. 16, No. 1, 95--127 (1995; Zbl 0832.65048) Full Text: DOI
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. Computing singular solutions to polynomial systems. (English) Zbl 0764.65030 Adv. Appl. Math. 13, No. 3, 305-327 (1992). Reviewer: V.A.Kostova (Russe) MSC: 65H10 30C15 12Y05 PDFBibTeX XMLCite \textit{A. P. Morgan} et al., Adv. Appl. Math. 13, No. 3, 305--327 (1992; Zbl 0764.65030) Full Text: DOI
Grigoriev, Dima Yu.; Karpinski, Marek; Singer, Michael F. The interpolation problem for \(k\)-sparse sums of eigenfunctions of operators. (English) Zbl 0785.12004 Adv. Appl. Math. 12, No. 1, 76-81 (1991). MSC: 12H05 41A05 65Y10 68W30 12Y05 65D05 PDFBibTeX XMLCite \textit{D. Yu. Grigoriev} et al., Adv. Appl. Math. 12, No. 1, 76--81 (1991; Zbl 0785.12004) Full Text: DOI
Jurkat, W. B.; Zwiesler, H. J. Piecewise algebraic functions. (English) Zbl 0725.14047 Adv. Appl. Math. 11, No. 3, 247-281 (1990). Reviewer: M. Coste (Rennes) MSC: 14Q20 34A05 12H20 PDFBibTeX XMLCite \textit{W. B. Jurkat} and \textit{H. J. Zwiesler}, Adv. Appl. Math. 11, No. 3, 247--281 (1990; Zbl 0725.14047) 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 PDFBibTeX XMLCite \textit{D. V. Chudnovsky} and \textit{G. V. Chudnovsky}, Adv. Appl. Math. 7, 101--122 (1986; Zbl 0607.10027) Full Text: DOI