The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Abstract

- Preface Part I. The Legacy of Alladi Ramakrishnan - Contributions of Alladi Ramakrishnan to the Mathematical Sciences. - Alladi Ramakrishnan's Theoretical Physics Seminar. - Telegrams received for the MATSCIENCE inauguration. - The miracle has happened, speech given by Alladi Ramakrishnan at the inauguration of MATSCIENCE. - Overseas Trips of Alladi Ramakrishnan. - List of publications of Alladi Ramakrishnan. - List of PhD students of Alladi Ramakrishnan. Part II. Pure Mathematics - Inversion and invariance of characteristic terms - part I (Abhyankar). - Partitions with non-repeating odd parts and q-hypergeometric identities (Alladi). - q-Catalan identities (Andrews). - Completing Brahmagupta's extension of Ptolemy's theorem (Askey). - A transformation formula involving the gamma and Riemann zeta functions in Ramanujan's Lost Notebook (Berndt and Dixit). - Ternary quadratic forms, modular equations, and certain positivity conjectures (Berkovich and Jagy). - How often is n! a sum of three squares? (Deshouillers and Luca).- Crystal symmetry viewed as zeta symmetry - II (Kanemitsu and Tsukuda). - Eulerian polynomials: From Euler's time to the present (Foata). - Crystal symmetry viewed as zeta symmetry II (Kanemitsu and Tsukada). - Positive homogeneous minima for a system of linear forms (Raghavan). - The divisor matrix, Dirichlet series, and SL(2,Z)(Sin and Thompson). - Proof of a conjecture of Alladi Ramakrishnan on circulants (Waldschmidt). Part III. Probability and Statistics - Branching random walks (Athreya). - A commentary on the logistic distribution (Ghosh, Choi, and Li). - Entropy and cross entropy characterizations and applications (Rao). - Optimal weights for a class of rank tests for censored bivariate data (Rao, Raychaudhuri, and Wu). - Connections between Bernoulli strings and random permutations (Sethuraman and Sethuraman). - Storage models for a class of master equations with separable kernels (Vittal, Jayasankar, and Muralidhar). Part IV. Theoretical Physics and Applied Mathematics - Inverse consistent deformable image registration (Chen and Ye). - A statistical model for the quark structure of the nucleon (Devanathan and Karthiyayini). - On generalized Clifford algebras and their physical applications (Jagannathan). - (p,q)-Rogers-Szegoe polynomial and the (p,q)-oscillator (Jagannathan and Sridhar). - Rethinking renormalization (Klauder). - Magnetism, FeS celluloids, and origins of life (Mitra-Delmotte and Mitra). - The Ehrenfest theorem in quantum field theory (Parthasarathy).