On newforms and Saito-Kurokawa lifts

DOI10.1016/j.jnt.2023.01.005OpenAlexW4322505558MaRDI QIDQ2696053

M. M. Sreejith, V. K. Adersh, Murugesan Manickam

Publication date: 6 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2023.01.005

zbMATH Keywords

Jacobi formsnewformsSiegel modular formsMaass spaceSaito-Kurokawa liftKohnen plus-space

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50)

Cites Work

• Maass Spezialschar of level \(N\)
• Modular descent and the Saito-Kurokawa conjecture
• The theory of Jacobi forms
• Fourier coefficients and modular forms of half-integral weight
• Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• On Shintani correspondence
• On Saito-Kurokawa descent for congruence subgroups
• Newforms and functional equations
• On newforms of half-integral weight and Jacobi forms
• Theory of newforms of half-integral weight
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• Hecke operators on \(\Gamma_0(m)\)
• Modular Forms
• Non-vanishing of \(L\)-functions and applications
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