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On the Pseudo-Periods of the Weierstrass Zeta Functions II*

Published online by Cambridge University Press:  22 January 2016

Maurice Heins
Maurice Heins*
Affiliation:
University of Illinois, Urbana, Illinois
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In a recent note bearing the same title (SIAM Journ. of Numerical Analysis, Vol. 3, 1966), I showed that there existed Weierstrass zeta functions having a vanishing pseudo-period. Cf. line 8, p. 376 of Saks-Zygmund, Analytic Functions. Professor Peter Henrici kindly pointed out to me that the mere existence of a Weierstrass zeta function with a vanishing pseudo-period was readily concluded from a classical formula of the theory of elliptic functions (Hurwitz-Courant, Funktionentheorie, 5th ed., p. 210) which reduces the question to the study of the zeros of

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 30 , August 1967 , pp. 113 - 119
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

Footnotes

*

Work on this paper was carried out during the tenure of National Science Foundation Grant NSFGP 3432.

References

* Work on this paper was carried out during the tenure of National Science Foundation Grant NSFGP 3432.