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Fourier coefficients of cusp forms associated to mixed cusp forms

Authors: Suh, DY Suh, Dong-Youp; Lee, MH Lee, Min-Ho;

Fourier coefficients of cusp forms associated to mixed cusp forms

Abstract

Summary: The authors construct a cusp form \({\mathcal L}^*_g(f)\) of weight \(m\) for a congruence subgroup of \(SL(2,\mathbb{R})\) associated to mixed cusp forms \(f,g\) of types \((l+m,k)\), \((l,k)\), respectively, and express the Fourier coefficients of \({\mathcal L}^*_g(f)\) in terms of the Fourier coefficients of \(f\) and \(g\).

Country
Korea (Republic of)
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Keywords

Fourier coefficients of automorphic forms, mixed cusp forms, congruence subgroup of \(SL(2,\mathbb{R})\), Fourier coefficients, Automorphic forms, one variable, automorphic forms, Holomorphic modular forms of integral weight

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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