A semi-adelic Kuznetsov formula over number fields
P\'eter Maga
TL;DR
This paper develops a semi-adelic Kuznetsov formula applicable over any number field, extending previous formulations by including non-spherical automorphic vectors and a versatile class of weight functions for broader applications.
Contribution
It introduces a semi-adelic Kuznetsov formula over arbitrary number fields, accommodating non-spherical automorphic vectors and diverse weight functions, enhancing its applicability.
Findings
Established a semi-adelic Kuznetsov formula for general number fields
Extended the formula to include non-spherical automorphic vectors
Developed a class of weight functions suitable for various applications
Abstract
In these notes, we prove a semi-adelic version of the Kuznetsov formula over arbitrary number fields. The extent is the set of those automorphic vectors which are not necessarily spherical in the archimedean aspect and a class of weight functions which is important for applications.
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