“…Bump and Hoffstein worked on metaplectic forms on the cubic cover of GL(3) [1] and on the n-cover of GL(2) [2]. Similar results are also obtained by Friedberg and Wong [8] over the 2-cover of GSp(4) and by Goetze [10] over the 3-cover of GSp (4).…”
Section: Introductionsupporting
confidence: 62%
“…Zagier's method for functions not of rapid decay has been widely used to handle convolutions which involve metaplectic Eisenstein series and theta series, as they are not cuspidal and their Fourier coefficient contains number theoretic information [11], [15]. Clear formulations and rigorous proofs of the method in contexts other than Zagier's may be found in [13], [3], [4].…”
In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form f on the double cover of GL(2). Zagier's idea of Rankin-Selberg method is used to define the convolution of f and the θ-function.
“…Bump and Hoffstein worked on metaplectic forms on the cubic cover of GL(3) [1] and on the n-cover of GL(2) [2]. Similar results are also obtained by Friedberg and Wong [8] over the 2-cover of GSp(4) and by Goetze [10] over the 3-cover of GSp (4).…”
Section: Introductionsupporting
confidence: 62%
“…Zagier's method for functions not of rapid decay has been widely used to handle convolutions which involve metaplectic Eisenstein series and theta series, as they are not cuspidal and their Fourier coefficient contains number theoretic information [11], [15]. Clear formulations and rigorous proofs of the method in contexts other than Zagier's may be found in [13], [3], [4].…”
In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form f on the double cover of GL(2). Zagier's idea of Rankin-Selberg method is used to define the convolution of f and the θ-function.
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