On the standard L-function attached to Siegel-Jacobi modular forms of higher index

Thanasis Bouganis; Jolanta Marzec

On the standard L-function attached to Siegel-Jacobi modular forms of higher index

Number Theory 2017-06-23 v1

Authors: Thanasis Bouganis , Jolanta Marzec

Abstract

In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Furthermore, we obtain algebraicity results on special L-values in the spirit of Deligne's Period Conjectures.

Keywords

standard L-function Siegel-Jacobi modular forms higher index analytic properties special L-values algebraicity Deligne period conjectures

Cite

@article{arxiv.1706.07287,
  title  = {On the standard L-function attached to Siegel-Jacobi modular forms of higher index},
  author = {Thanasis Bouganis and Jolanta Marzec},
  journal= {arXiv preprint arXiv:1706.07287},
  year   = {2017}
}

Comments

75 pages

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