A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel

RAMANUJAN JOURNAL

dc.creatorMartin-González, Yves Leopoldo
dc.date2021-08-23T22:52:56Z
dc.date2022-07-08T20:35:25Z
dc.date2021-08-23T22:52:56Z
dc.date2022-07-08T20:35:25Z
dc.date2019
dc.date.accessioned2023-08-22T22:54:53Z
dc.date.available2023-08-22T22:54:53Z
dc.identifier1150943
dc.identifier1150943
dc.identifierhttps://hdl.handle.net/10533/251059
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8348957
dc.descriptionWe find an explicit integral kernel for the twisted Koecher-Maass series of any degree two Siegel cusp form F, where the twist is realized by an arbitrary Maass waveform whose eigenvalue is in the continuum spectrum. We also obtain the analytic properties of such a kernel (functional equations and analytic continuation), as well as a series representation of it in terms of the degree two Siegel Poincare series. From these properties we deduce the analytic properties of the twisted Koecher-Maass series. Moreover, we express the later as a multiple Dirichlet series involving the Dirichlet series associated to the Fourier-Jacobi coefficients of F. Finally, we get the integral kernel of the untwisted Koecher-Maass series (first studied by Kohnen and Sengupta in any degree) as a limit case of our construction.
dc.descriptionRegular 2015
dc.descriptionFONDECYT
dc.descriptionFONDECYT
dc.languageeng
dc.relationhandle/10533/111557
dc.relationhandle/10533/111541
dc.relationhandle/10533/108045
dc.relationhttps://doi.org/10.1007/s11139-018-0035-6
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/article
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleA study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel
dc.titleRAMANUJAN JOURNAL
dc.typeArticulo
dc.typeinfo:eu-repo/semantics/publishedVersion


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