Czekalski, Stefan The new properties of the theta functions. (English) Zbl 1282.33030 Ann. Math. Blaise Pascal 20, No. 2, 391-398 (2013). Summary: It is shown that the function \[ H(x)=\sum_{k=-\infty}^\infty e^{-k^{2}x} \] satisfies the relation \[ H(x)=\sum_{n=0}^\infty \frac{(2\pi)^{2n}}{(2n)!} H^{(n)}(X). \] MSC: 33E05 Elliptic functions and integrals 11F27 Theta series; Weil representation; theta correspondences Keywords:theta functions; series × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bellman, R., A Brief Introduction to Theta Functions (1961) · Zbl 0098.28301 [2] Krazer, A., Lehrbuch der Theta - Funktionen (1971) · Zbl 0212.42901 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.