  Exclusive pseudoscalar meson production in ep scattering at high energies is
a direct probe for a possible "odderon" exchange in soft hadronic processes.
Using a simple phenomenological ansatz for the odderon, we demonstrate how it
can be separated from the contribution due to photon-photon fusion, and the
relevant parameters be measured. Total cross sections and differential
distributions are presented for pi0, eta, eta', and eta_c production. Results
are given from both a full calculation and one using the equivalent photon
approximation. The accuracy of the latter is discussed.
