2020/05/20 by Thanasis Bouganis, Bouganis, Thanasis, Jolanta Marzec +1
Mathematics · #11F50 #11F66 #11F67 (primary) #11R42 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #and 11F46 (secondary)
paper · pdf · doi:10.48550/arxiv.2005.10282
openalex publication_date 2020/05/20 · openalex created_date 2022/07/24 · openalex updated_date 2026/07/28
In this work we obtain algebraicity results on special L-values attached to\nSiegel-Jacobi modular forms. Our method relies on a generalization of the\ndoubling method to the Jacobi group obtained in our previous work, and on\nintroducing a notion of near holomorphy for Siegel-Jacobi modular forms. Some\nof our results involve also holomorphic projection, which we obtain by using\nSiegel-Jacobi Poincar 'e series of exponential type.\n