ON SHIMURA'S DECOMPOSITION

DOI10.1142/S179304211350036XzbMath1318.11066arXiv1205.7086MaRDI QIDQ2850701

Soma Purkait

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1205.7086

zbMATH Keywords

half-integral weightmodular formsShimura's correspondenceShimura's decomposition

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Modular correspondences, etc. (11F32)

Related Items (6)

A two‐dimensional arithmetic André–Oort problem ⋮ A note on the Fourier coefficients of half-integral weight modular forms ⋮ Shimura lifts of weakly holomorphic modular forms ⋮ On Fourier coefficients of modular forms of half integral weight at squarefree integers ⋮ Newforms of Half-integral Weight: The Minus Space Counterpart ⋮ Newforms of half-integral weight: the minus space of \(S_{k+1/2}(\Gamma_0(8(M))\)

Cites Work

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• Fourier coefficients and modular forms of half-integral weight
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The critical values of certain zeta functions associated with modular forms of half-integral weight
• A generalized Shimura correspondence for newforms
• On modular forms of half integral weight
• Modular forms of half integral weight and the integral of certain theta-functions
• Modular Forms

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