Hurwitz class numbers in the theory of automorphic forms, and an extension to totally real number fields

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Boylan H.

The Second Romanian-Turkish Mathematics Colloquium, İstanbul, Turkey, 25 - 29 October 2017, pp.1

• Publication Type: Conference Paper / Full Text
• City: İstanbul
• Country: Turkey
• Page Numbers: pp.1
• Istanbul University Affiliated: Yes

Abstract

Hurwitz class numbers occur in various places in the theory of classical modular and Jacobi forms.

Recently, in joint work with N-P Skoruppa, we found an extension of this theory to (totally real)

number fields. In this talk we explain the context for these considerations, introduce the pendants

of Hurwitz class numbers in totally real number fields and the appearance of these new numbers in

the theory of Jacobi forms over number fields.