What question did this study set out to answer?

The research aims to extend Shimura lifts to nearly holomorphic modular forms and to establish their associated properties.

April 1, 2026

Shimura Lifts of Nearly Holomorphic Modular Forms

Key Points

The research aims to extend Shimura lifts to nearly holomorphic modular forms and to establish their associated properties.
Definition and analysis of nearly holomorphic modular forms of half-integral weight.
Extension of Shimura lifts to the specified forms.
Proof of Hecke equivariance for the new lifts.
Derivation of new Selberg identities relevant to this context.
Successfully extended Shimura lifts to nearly holomorphic modular forms.
Established Hecke equivariance for these extensions.
Discovered new Selberg identities related to the extended Shimura lifts.

Abstract

We extend the Shimura lifts to nearly holomorphic modular forms of half-integral weight. Furthermore, we establish the Hecke equivariance of this extension, as well as some new Selberg identities in this context.

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Cite This Study

Linscott et al. (Fri,) studied this question.

synapsesocial.com/papers/69ccb5f716edfba7beb87b80 https://doi.org/https://doi.org/10.1142/s0129167x26500321

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