Koecher–Maass series

In mathematics, a Koecher–Maass series is a type of Dirichlet series that can be expressed as a Mellin transform of a Siegel modular form, generalizing Hecke's method of associating a Dirichlet series to a modular form using Mellin transforms. They were introduced by Koecher (1953) and Maass (1950).

References

• Koecher, Max (1953), "Über Dirichlet-Reihen mit Funktionalgleichung", Journal für die reine und angewandte Mathematik 192: 1–23, ISSN 0075-4102, MR 0057907
• Maass, Hans (1950), "Modulformen zweiten Grades und Dirichletreihen", Mathematische Annalen 122: 90–108, doi:10.1007/BF01342953, ISSN 0025-5831, MR 0037870