Mock modular forms and geometric theta functions for indefinite quadratic forms

نویسنده

  • Stephen S Kudla
چکیده

Mock modular forms are central objects in the recent discoveries of new instances of Moonshine. In this paper, we discuss the construction of mixed mock modular forms via integrals of theta series associated to indefinite quadratic forms. In particular, in this geometric setting, we realize Zwegers’ mock theta functions of type ( p, 1) as line integrals in hyperbolic p-space.

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تاریخ انتشار 2017