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Explicit inner product formulas and Bessel period formulas for HST lifts

Explicit inner product formulas and Bessel period formulas for HST lifts

We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta …