An extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for ${\zeta }_{\mathbb{F}}(2)$ and ${\zeta }_{\mathbb{F}}(2m+1)$

Diksha Rani Bansal, Bibekananda Maji

On page 253 of his Lost Notebook, Ramanujan recorded an intriguing identity relating a generalized divisor function and a modified Bessel function, which was later rediscovered by…