Irrationality proofs using modular forms

Beukers, F.

Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 271-283.

Zbl | 2 citations dans Numdam

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     author = {Beukers, F.},
     title = {Irrationality proofs using modular forms},
     booktitle = {Journ\'ees arithm\'etiques de Besan\c{c}on},
     series = {Ast\'erisque},
     pages = {271--283},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {147-148},
     year = {1987},
     zbl = {0613.10031},
     language = {en},
     url = {http://www.numdam.org/item/AST_1987__147-148__271_0/}
}

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Beukers, F. Irrationality proofs using modular forms, dans Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 271-283. http://www.numdam.org/item/AST_1987__147-148__271_0/

Bibliographie
Cité par

[Bel]- Beukers, F. Irrationality of $π^{2}$ , periods of an elliptic curve and $Γ_{1}$ (5). Proc. Luminy conf., Progress in Math. 31, 47-66, Birkhäuser (1983) . | Zbl

[Be2]- Beukers, F. Another congruence for the Apéry numbers. Submitted to J. Number Theory. | Zbl

[Be3]- Beukers, F. Some congruences for the Apéry numbers. J. Number Theory 21 (1985) | DOI | Zbl

[BP] Beukers, F. ; Peters, C. A. M. A family of $K 3$ -surfaces and $ξ$ (3). J. für reine und angew. Math. 351 (1984), 42-54. | EuDML | Zbl

[Ge] - Gessel, I. Some congruences for Apéry numbers. J. Number Theory 14 (1982) , 362-368. | DOI | Zbl

[P] - Van Der Poorten, A.J. A proof that Euler missed... Apéry's proof of the irrationality of $ξ$ (3). Math. Intelligencer 1 (1979), 195-203 | DOI | Zbl

[Ra] - Rademacher, H. Topics in analytic number theory. Grundlehren Math.Wiss. 169, Springer, New York, Berlin. | Zbl

[SB] - Stienstra, J. ; Beukers, F. On the Picard-Fuchs equation and the formal Brauer group of certain elliptic $K 3$ -surfaces. Math. Ann. 271 (1985) , 269-304. | DOI | EuDML | Zbl

[W] - Weil, A. Remarks on Hecke's Lemma and its use. Collected works III, p 405-412. | Zbl