The transcendence of certain quasi-periods associated with abelian functions in two variables

D. W. Masser

Compositio Mathematica (1977)

  • Volume: 35, Issue: 3, page 239-258
  • ISSN: 0010-437X

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Masser, D. W.. "The transcendence of certain quasi-periods associated with abelian functions in two variables." Compositio Mathematica 35.3 (1977): 239-258. <http://eudml.org/doc/89349>.

@article{Masser1977,
author = {Masser, D. W.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {239-258},
publisher = {Noordhoff International Publishing},
title = {The transcendence of certain quasi-periods associated with abelian functions in two variables},
url = {http://eudml.org/doc/89349},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Masser, D. W.
TI - The transcendence of certain quasi-periods associated with abelian functions in two variables
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 3
SP - 239
EP - 258
LA - eng
UR - http://eudml.org/doc/89349
ER -

References

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  1. [1] A. Baker: On the quasi-periods of the Weierstrass ζ-function. Göttinger Nachr. (1969) No. 16, 145-157. Zbl0201.05403
  2. [2] N.I. Feldman: Estimate for a linear form in logarithms of algebraic numbers. Mat. Sbornik76 (1968) 304-319 (Math. USSR Sbornik5 (1968) 291-307). Zbl0195.33701MR228445
  3. [3] S. Lang: Transcendental points on group varieties. Topology1 (1962) 313-318. Zbl0116.38105MR156852
  4. [4] D.W. Masser: Elliptic functions and transcendence. Springer Lecture Notes in Math. No. 437, Berlin, 1975. Zbl0312.10023MR379391
  5. [5] D.W. Masser: Linear forms in algebraic points of Abelian functions I. Math. Proc. Cambridge Philos. Soc.77 (1975) 499-513. Zbl0306.14018MR360482
  6. [6] D.W. Masser: On the periods of Abelian functions in two variables. Mathematika22 (1975) 97-107. Zbl0318.14010MR399000
  7. [7] D.W. Masser: Some vector spaces associated with two elliptic functions, to appear in Transcendence theory advances and applications. Academic Press, London and New York, 1977. Zbl0362.10029MR466036
  8. [8] TH. Schneider: Zur Theorie der Abelschen Funktionen und Integrale. J. reine angew. Math.183 (1941) 110-128. Zbl0024.15504MR6170JFM67.0147.02
  9. [9] C.L. Siegel: Topics in complex function theory, Vol. III. Wiley-Interscience, New York, 1973. Zbl0184.11201MR1013364
  10. [10] M. Waldschmidt: Nombres transcendants. Springer Lecture Notes in Math.402, 1974. Zbl0302.10030MR360483

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