"Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions"

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Let f be a fixed self-dual Hecke–Maass cusp form for SL(3, ℤ) and {μj} be an orthogonal basis of odd Hecke–Maass cusp forms for SL(2, ℤ). We prove an asymptotic… Click to show full abstract

Let f be a fixed self-dual Hecke–Maass cusp form for SL(3, ℤ) and {μj} be an orthogonal basis of odd Hecke–Maass cusp forms for SL(2, ℤ). We prove an asymptotic formula for the average of the first...

Keywords: derivative functions; first derivative; vanishing first; non vanishing

Journal Title: International Journal of Number Theory
Year Published: 2017

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