Publications
2022
Scholarly publications
2021
Scholarly publications
Beukers, F. (2021).
A Matrix Version of Dwork’s Congruences. In A. Bostan, & K. Raschel (Eds.),
Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions (1 ed., pp. 47-59). (Springer Proceedings in Mathematics and Statistics; Vol. 373). Springer Cham.
https://doi.org/10.1007/978-3-030-84304-5_2 2020
Scholarly publications
2019
Scholarly publications
2018
Scholarly publications
Beukers, F. (2018). Hypergeometric Functions, from Riemann till Present. In L. Ji, & S-T. Yau (Eds.), Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds & Picard-Fuchs equations (pp. 1-19). (Adv. Let. Math (ALM); Vol. 42). International Press.
2016
Scholarly publications
2015
Scholarly publications
2014
Scholarly publications
Professional publications
Beukers, F. (2014).
Hypergeometric functions, how special are they? Notices of the American Mathematical Society,
61(1), 48-56.
https://doi.org/10.1090/noti1065 2013
Scholarly publications
2012
Scholarly publications
2011
Scholarly publications
2010
Scholarly publications
Professional publications
2008
Scholarly publications
Beukers, F. (2008). Irrationality of p-adic L-values. Acta Mathematica Sinica (English Series), 24(4), 663-686.
Beukers, F. (2008). Explicit calculation of elliptic fibrations of $K3$-surfaces and their Belyi-maps. Number theory and polynomials. London Mathematical Society lecture note series, 352, 33-51.
2007
Scholarly publications
Beukers, F. (2007). Gauss' hypergeometric function. Arithmetic and geometry around hypergeometric functions. Progress in Mathematics, 260, 23-42.
Professional publications
van Asselt, R., Beukers, F., Blankespoor, J., Broer, H., Drijvers, P. H. M., Garst, S., van de Giessen, C., Kaenders, R., Kleijne, W., Kollenveld, M., Peletier, M., Siersma, D., van Streun, A., & Zaal, C. G. (2007). Rijk aan betekenis. Visie op vernieuwd wiskundeonderwijs. Commissie Toekomst WiskundeOnderwijs, cTWO.
2006
Scholarly publications
2004
Scholarly publications
2002
Scholarly publications
Beukers, F. (2002). On Dwork's accessory parameter problem. Mathematische Zeitschrift, 241, 425-444.
Beukers, F., & Cushman, R. H. (2002). The complex geometry of the spherical pendulum. Contemporary Mathematics, 292, 47-70.
2001
Scholarly publications
Beukers, F., Sanders, J. A., & Wang, J. P. (2001). On integrability of systems of evolution equations. Journal of Differential Equations, 167.
Beukers, F., Sanders, J. A., & Wang, J. P. (2001). On integrability of Systems of Evolution Equations. Journal of Differential Equations, 172, 396-396.
Professional publications
Beukers, F. (2001). Experimentele Getaltheorie. In M. Bakker (Ed.), Vakantiecursus 2001: Experimentele wiskunde (pp. 3-16). (CWI Syllabus; No. 49). Centrum voor Wiskunde en Informatica.
2000
Scholarly publications
Beukers, F. (2000). The maximal differential ideal is generated by its invariants. Indigationes Mathematicae, 11(1), 13-18.
Professional publications
Beukers, F. (2000). Pi, de geschiedenis en wiskunde van het getal Pi. (Zebrareeks ed.) Epsilon Uitgaven.
1999
Scholarly publications
Beukers, F. (1999). Integral points on cubic surfaces. Lecture Notes, Centre de Recherches, 19, 25-33.
Beukers, F. (1999). Factorisation of polynomials. In Some tapas of computer algebra (pp. 78-90). (Algorithms Comput. Math.; No. 4). Springer.
Beukers, F., Shorey, T. N., & Tijdeman, R. (1999). Irreducibility of polynomials and arithmetic progressions with equal products of terms. In K. Györy, H. Iwaniec, & J. Urbanowicz (Eds.), Number Theory in Progress, Proceedings Zakopone, Poland 1997 (pp. 11-26). Walter de Gruyter.
Beukers, F. (1999). Lattice reduction. In Some tapas of computer algebra (pp. 66-77). (Algorithms Comput. Math.; No. 4). Springer.
Professional publications
Beukers, F. (1999). Getaltheorie voor beginners. Epsilon Uitgaven.
1998
Scholarly publications
Beukers, F., & Cushman, R. H. (1998). Zeeman's monotonicity conjecture. Journal of Differential Equations, 143(1998), 191-200.
Beukers, F., Sanders, J., & Wang, J. P. (1998). One symmetry does not imply integrability. Journal of Differential Equations, 146(1998), 251-260.
Beukers, F. (1998). The diophantine equation. Ax p + By q = CZ r. Duke Mathematical Journal, 91(1998), 61-88.
1997
Scholarly publications
Beukers, F. (1997). On a sequence of polynomials. Journal of Pure and Applied Algebra, 117 & 118, 97-103.
1996
Scholarly publications
1995
Scholarly publications
1993
Scholarly publications
1991
Scholarly publications
1989
Scholarly publications
1987
Scholarly publications
1985
Scholarly publications
Stienstra, J., & Beukers, F. (1985).
On the Picard-Fuchs equation and the formal brauer group of certain elliptic K3-surfaces.
Mathematische Annalen,
271(2), 269-304.
https://doi.org/10.1007/BF01455990 1984
Scholarly publications
1983
Scholarly publications
Beukers, F., Huijsmans, C. B., & de Pagter, B. (1983).
Unital embedding and complexification of F-algebras.
Mathematische Zeitschrift,
183(1), 131-144.
https://doi.org/10.1007/BF01187219 1981
Scholarly publications
1980
Scholarly publications
1979
Scholarly publications
1975
Scholarly publications
Beukers, F. (1975). The lattice-points of n-dimensional tetrahedra. Indagationes Mathematicae, 37(5), 365-372.