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The characterization of theta functions by functional equations

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References

  1. J. Aczél andJ. Dhombres.Functional Equations in Several Variables. Cambridge University Press, Cambridge 1989.

    MATH  Google Scholar 

  2. M. Bonk. On the second part of Hilbert's fifth problem.Math. Z. 210 (1992), 475–493.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Bonk. The addition theorem of Weierstraß's sigma function.Math. Ann. 298 (1994), 591–610.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. Eichler.Einführung in die Theorie der algebraischen Zahlen und Funktionen. Birkhäuser Verlag, Basel 1963.

    MATH  Google Scholar 

  5. H. M. Farkas andI. Kra.Riemann Surfaces. Springer-Verlag, Berlin 1980.

    MATH  Google Scholar 

  6. O. Forster.Riemannsche Flächen. Springer-Verlag, Berlin 1977.

    MATH  Google Scholar 

  7. H. Hancock.Lectures on the Theory of Elliptic Functions. Dover Publications, Inc., New York 1958.

    MATH  Google Scholar 

  8. A. Hurwitz andR. Courant.Funktionentheorie. 4. Aufl., Springer-Verlag, Berlin 1964.

    MATH  Google Scholar 

  9. M. A. Naimark andA. I. Štern.Theory of Group Representations. Springer-Verlag, Berlin 1982.

    MATH  Google Scholar 

  10. B. Schoeneberg.Elliptic Modular Functions. Springer-Verlag, Berlin 1974.

    MATH  Google Scholar 

  11. B. L. van der Waerden.Algebra I. 8. Aufl., Springer-Verlag, Berlin 1971.

    Google Scholar 

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Bonk, M. The characterization of theta functions by functional equations. Abh.Math.Semin.Univ.Hambg. 65, 29–55 (1995). https://doi.org/10.1007/BF02953312

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  • DOI: https://doi.org/10.1007/BF02953312

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