A proposed analogue of Wilton's product formula for Hecke series is invalid as stated because its Bessel integrals diverge on the claimed range Re(u)>k.
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A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
A proposed analogue of Wilton's product formula for Hecke series is invalid as stated because its Bessel integrals diverge on the claimed range Re(u)>k.