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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The bilinear relation on open Riemann surfaces
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by Robert D. M. Accola
Trans. Amer. Math. Soc. 96 (1960), 143-161
DOI: https://doi.org/10.1090/S0002-9947-1960-0125216-2
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References
  • Lars V. Ahlfors, Normalintegrale auf offenen Riemannschen Flächen, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1947 (1947), no. 35, 24 (German). MR 25577
  • Lars V. Ahlfors, The method of orthogonal decomposition for differentials on open Riemann surfaces, Ann. Acad. Sci. Fenn. Ser. A I 249/7 (1958), 15. MR 0093583
    • The theory of square integrable differentials on open Riemann surfaces, Report to the Mathematics Division, Air Force Office of Scientific Research, ARDC, Washington 25, D. C., AFOSR Report Number TN 57 790, January 1958.
  • S. Karlin, Bases in Banach spaces, Duke Math. J. 15 (1948), 971–985. MR 29103
  • Yukio Kusunoki, On Riemann’s period relations on open Riemann surfaces, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 30 (1956), 1–22. MR 90651, DOI 10.1215/kjm/1250777134
  • Rolf Nevanlinna, Quadratisch integrierbare Differentiale auf einer Riemannschen Mannigfaltigkeit, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1941 (1941), no. 1, 34 (French). MR 15496
  • A. Pfluger, Über die Riemannsche Periodenrelation auf transzendenten hyperelliptischen Flächen, Comment. Math. Helv. 30 (1956), 98–106 (German). MR 75308, DOI 10.1007/BF02564334
  • Albert Pfluger, Theorie der Riemannschen Flächen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR 0084031
  • K. I. Virtanen, Über Abelsche Integrale auf nullberandeten Riemannschen Flächen von unendlichem Geschlecht, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1949 (1949), no. 56, 44 (German). MR 33896
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Bibliographic Information
  • © Copyright 1960 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 96 (1960), 143-161
  • MSC: Primary 30.45
  • DOI: https://doi.org/10.1090/S0002-9947-1960-0125216-2
  • MathSciNet review: 0125216