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Interlacing of zeros of certain weakly holomorphic modular forms for Γ0+(2)

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Abstract We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Γ 0 + ( 2 )… Click to show full abstract

Abstract We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Γ 0 + ( 2 ) of level 2 interlace, extending the result for SL 2 ( Z ) of Jenkins and Pratt [4] .

Keywords: interlacing zeros; zeros certain; modular forms; holomorphic modular; weakly holomorphic

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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