Congruence properties of coefficients of solutions of Picard/Fuchs equations

F. Beukers

Groupe de travail d'analyse ultramétrique (1986-1987)

  • Volume: 14, page 1-6

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Beukers, F.. "Congruence properties of coefficients of solutions of Picard/Fuchs equations." Groupe de travail d'analyse ultramétrique 14 (1986-1987): 1-6. <http://eudml.org/doc/91964>.

@article{Beukers1986-1987,
author = {Beukers, F.},
journal = {Groupe de travail d'analyse ultramétrique},
language = {eng},
pages = {1-6},
publisher = {Secrétariat mathématique},
title = {Congruence properties of coefficients of solutions of Picard/Fuchs equations},
url = {http://eudml.org/doc/91964},
volume = {14},
year = {1986-1987},
}

TY - JOUR
AU - Beukers, F.
TI - Congruence properties of coefficients of solutions of Picard/Fuchs equations
JO - Groupe de travail d'analyse ultramétrique
PY - 1986-1987
PB - Secrétariat mathématique
VL - 14
SP - 1
EP - 6
LA - eng
UR - http://eudml.org/doc/91964
ER -

References

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  1. [B1] F. Beukers, A note on the irrationality of ζ(3), Bull.London Math.Soc.11(1979),268-272. Zbl0421.10023
  2. [B2] F. Beukers, Some congruences for the Apéry numbers, J.Number Theory21(1985),141-155 Zbl0571.10008MR808283
  3. [B3] F. Beukers, Another congruence for the Apéry numbers, J.Number Theory25(1987),201-210. Zbl0614.10011MR873877
  4. [C1] M. Coster, Congruence properties of coefficients of certain power series, submitted to Compositio Math. Zbl0661.10019
  5. [C2] M. Coster, Some congruences for generalised Apéry numbers, preprint. 
  6. [C3] M. Coster, Generalisation of a congruence of Gauss, submitted to J.Number Theory. Zbl0651.10004MR955955
  7. [CDE] S. Chowla, B. Dwork, R. Evans, On the mod p2 determination of ((p-1)/2) (p-1)/4), J. Number Theory24(1986), 188-196. Zbl0596.10003MR863654
  8. [DL] J. Denef, L. Lipschitz, Algebraic power series and diagonals, preprint. Zbl0609.12020
  9. [H] M. Hazewinkel, Formal Groups and Applications, Academic Press, New York1978. Zbl0454.14020MR506881
  10. [GK] B. Gross, N. Koblitz, Gauss sums and the p-adic Γ-function, Ann.Math.109(1979), 569-581. Zbl0406.12010
  11. [P] A.J. van der Poorten, A proof that Euler missed..., Apéry's proof of the irrationality of ζ(3), Math.Intelligencer1 (1979) , 195-203. Zbl0409.10028
  12. [SB] J. Stienstra, F. Beukers, On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces, Math.Annalen271 (1985), 269-304. Zbl0539.14006MR783555

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