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Vaidyanathaswamy, R. (1944) The Localisation theory in set-topology Proceedings of the Indian Academy of Sciences, Section A, 20 (1). pp. 51-61. ISSN 0370-0089

Vaidyanathaswamy, R. (1943) On disjunction in intuitionist logic Proceedings of the Indian Academy of Sciences, Section A, 17 (2). pp. 41-45. ISSN 0370-0089

Vaidyanathaswamy, R. (1942) On the lattice of open sets of a topological space Proceedings of the Indian Academy of Sciences, Section A, 16 (6). pp. 379-386. ISSN 0370-0089

Vaidyanathaswamy, R. (1941) The ideal-theory of the partially ordered set Proceedings of the Indian Academy of Sciences, Section A, 13 (2). pp. 94-99. ISSN 0370-0089

Vaidyanathaswamy, R. (1939) On continuous functions of a real variable Proceedings of the Indian Academy of Sciences, Section A, 9 (1). pp. 67-71. ISSN 0370-0089

Vaidyanathaswamy, R. (1938) Quasi-boolean algebras and many-valued logics Proceedings of the Indian Academy of Sciences, Section A, 8 (3). pp. 165-170. ISSN 0370-0089

Vaidyanathaswamy, R. (1937) A remarkable property of the integers mod N, and its bearing on Grou-theory Proceedings of the Indian Academy of Sciences, Section A, 5 (1). pp. 63-75. ISSN 0370-0089

Vaidyanathaswamy, R. (1935) On the Arithmetico-Logical symmetric functions of n attributes Proceedings of the Indian Academy of Sciences, Section A, 2 (1). pp. 54-62. ISSN 0370-0089

Vaidyanathaswamy, R. (1934) The apolar invariant of bilinear forms Proceedings of the Indian Academy of Sciences, Section A, 1 (5). pp. 315-320. ISSN 0370-0089

Vaidyanathaswamy, R. (1934) A fundamental property of Hart systems of circles Proceedings of the Indian Academy of Sciences, Section A, 1 (2). pp. 67-73. ISSN 0370-0089

Vaidyanathaswamy, R. (1931) The theory of multiplicative arithmetic functions Transactions of the American Mathematical Society, 33 (2). pp. 579-662. ISSN 0002-9947

Vaidyanathaswamy, R. (1930) The identical equations of the multiplicative function Bulletin of the American Mathematical Society, 32 (4). pp. 762-772. ISSN 0273-0979