Hurwitz zeta functions and Ramanujan's identity for odd zeta values

Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing that associated to Ramanujan's identity. We also derive several infinite families of identities analogous to Ramanujan's formula. & COPY; 2023 Elsevier Inc. All rights reserved.