Incoherent Hilbert Eisenstein series over real quadratic fields are realized as Doi-Naganuma theta lifts, yielding explicit Rankin-Selberg L-functions and a non-unit theorem for Borcherds products at CM points.
Number Theory250(2023), 155–182
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Hilbert Eisenstein series as Doi-Naganuma lift
Incoherent Hilbert Eisenstein series over real quadratic fields are realized as Doi-Naganuma theta lifts, yielding explicit Rankin-Selberg L-functions and a non-unit theorem for Borcherds products at CM points.