Abstract
We extend C.L. Siegel’s method of proving the Dedekind-eta function transformation by integrating some selected functions over a positively oriented polygon, generalizing Siegel’s integration over a parallelogram. As consequences, we obtain a generalization of the Dedekind-eta function transformation and generalizations of other transformation formulas.
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Kongsiriwong, S. A generalization of Siegel’s method. Ramanujan J 20, 1–24 (2009). https://doi.org/10.1007/s11139-009-9167-z
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DOI: https://doi.org/10.1007/s11139-009-9167-z