The journal is the continuation of Tbilisis Mathematikuri Institutis Shromebi (Trudy Tbilisskogo Matematicheskogo Instituta, Travaux de L'Institut Mathematique de Tbilissi) and was established in 1937.

The journal is named for Georgian mathematician Andrea Razmadze, one of the original four of the Mathematical Institute, and a co-founder of Tbilisi State University.

The journal has a wide scope publishing research papers in all domains of Mathematics, both pure and applied.

Notable authors include Paul Erdős, Edmund Landau, and Hua Luogeng.

The current editor in chief is Vakhtang Kokilashvili (A. Razmadze Mathematical Institute).