The present journal is the continuation of "Tbilisis Mathematikuri institutis shromebi" ("Trudy Tbilisskogo Matematicheskogo Instituta", "Travaux de L'Institut Mathematique de Tbilissi") founded in 1937.
At different times this journal contained the works of S. Bergman, P. Erdös, N. Günter, J. Hadamard, Ph. Hartman and A. Wintner, M. Keldysh, A. Kharadze, V. Kupradze, E. Landau, M. Lavrentjev, Loo-Keng Hua, N. Muskhelishvili, G. Nikoladze, A. Ostrowski, L. Tonelli, I. Vekua, I. Vinogradov, A. Walfisz.
Starting from volume 100 the journal is publishing under the above-mentioned title.
Proceedings of A. Razmadze Mathematical Institute is an international journal endeavouring to publish significant research articles on both pure and applied mathematics. They should contain original new results with complete proofs.
Three volumes are published each year.