TY - JOUR AU - Banerjee, Soumyarup AU - Dixit, Atul AU - Gupta, Shivajee TI - Lambert series of logarithm, the derivative of Deninger’s function $R(z),$ and a mean value theorem for $\zeta \left (\frac {1}{2}-it\right )\zeta '\left (\frac {1}{2}+it\right )$ JO - Canadian journal of mathematics PY - 2024 SP - 1695 EP - 1730 VL - 76 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000597/ DO - 10.4153/S0008414X23000597 ID - 10_4153_S0008414X23000597 ER -