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We present results from offline searches of Fermi Gamma-ray Burst Monitor(GBM) data for gamma-ray transients coincident with the compact binarycoalescences observed by the gravitational-wave (GW) detectors Advanced LIGOand Advanced Virgo during their first and second observing runs. In particular,we perform follow-up for both confirmed events and low significance candidatesreported in the LIGO/Virgo catalog GWTC-1. We search for temporal coincidencesbetween these GW signals and GBM triggered gamma-ray bursts (GRBs). We also usethe GBM Untargeted and Targeted subthreshold searches to find coincidentgamma-rays below the on-board triggering threshold. This work implements arefined statistical approach by incorporating GW astrophysical sourceprobabilities and GBM visibilities of LIGO/Virgo sky localizations to searchfor cumulative signatures of coincident subthreshold gamma-rays. All searchmethods recover the short gamma-ray burst GRB 170817A occurring ~1.7 s afterthe binary neutron star merger GW170817. We also present results from a newsearch seeking GBM counterparts to LIGO single-interferometer triggers. Thissearch finds a candidate joint event, but given the nature of the GBM signaland localization, as well as the high joint false alarm rate of $1.1 \times10^{-6}$ Hz, we do not consider it an astrophysical association. We find noadditional coincidences.

A Joint Fermi-GBM and LIGO/Virgo Analysis of Compact Binary Mergers From the First and Second Gravitational-wave Observing Runs