Abstract
Whereas there exist doubly periodic meromorphic functions, as we have seen in § 57, entire doubly periodic functions can only be constants, since they are bounded in their fundamental parallelogram and thus in the whole plane.
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© 1973 Springer-Verlag, Berlin • Heidelberg
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Rademacher, H. (1973). The ϑ-functions. In: Topics in Analytic Number Theory. Die Grundlehren der mathematischen Wissenschaften, vol 169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80615-5_10
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DOI: https://doi.org/10.1007/978-3-642-80615-5_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80617-9
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