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- W3178286541 abstract "We evaluate the classic sum $sum_{ninmathbb{Z}} e^{-pi n^2}$. The novelty of our approach is that it does not require any prior knowledge about modular forms, elliptic functions or analytic continuations. Even the $Gamma$ function, in terms of which the result is expressed, only appears as a complex function in the computation of a real integral by the residue theorem. Another contribution of this note is to provide a very simple proof of the Kronecker limit formula." @default.
- W3178286541 created "2021-07-19" @default.
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- W3178286541 date "2021-07-15" @default.
- W3178286541 modified "2023-09-27" @default.
- W3178286541 title "A simple evaluation of a theta value and the Kronecker limit formula" @default.
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