The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Contributions of Alladi Ramakrishnan to the Mathematical Sciences....Pages 3-9
Alladi Ramakrishnan’s Theoretical Physics Seminar....Pages 11-24
Telegrams Received for the MATSCIENCE Inauguration....Pages 25-65
The Miracle has Happened....Pages 67-71
Overseas Trips of Alladi Ramakrishnan....Pages 73-80
List of Publications of Alladi Ramakrishnan....Pages 81-87
List of PhD Students of Alladi Ramakrishnan....Pages 89-89
Front Matter....Pages 91-91
Inversion and Invariance of Characteristic Terms: Part I....Pages 93-168
Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities....Pages 169-182
 q -Catalan Identities....Pages 183-190
Completing Brahmagupta’s Extension of Ptolemy’s Theorem....Pages 191-197
A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook....Pages 199-210
Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures....Pages 211-241
How Often is n ! a Sum of Three Squares?....Pages 243-251
Eulerian Polynomials: From Euler’s Time to the Present....Pages 253-273
Crystal Symmetry Viewed as Zeta Symmetry II....Pages 275-292
Positive Homogeneous Minima for a System of Linear Forms....Pages 293-297
The Divisor Matrix, Dirichlet Series, and SL(2, Z)....Pages 299-327
Proof of a Conjecture of Alladi Ramakrishnan on Circulants....Pages 329-334
Front Matter....Pages 335-335
Branching Random Walks....Pages 337-349
Front Matter....Pages 335-335
A Commentary on the Logistic Distribution....Pages 351-357
Entropy and Cross Entropy: Characterizations and Applications....Pages 359-367
Optimal Weights for a Class of Rank Tests for Censored Bivariate Data....Pages 369-388
Connections Between Bernoulli Strings and Random Permutations....Pages 389-399
Storage Models for a Class of Master Equations with Separable Kernels....Pages 401-415
Front Matter....Pages 417-417
Inverse Consistent Deformable Image Registration....Pages 419-440
A Statistical Model for the Quark Structure of the Nucleon....Pages 441-463
On Generalized Clifford Algebras and their Physical Applications....Pages 465-489
( p , q )-Rogers-Szegö Polynomial and the ( p , q )-Oscillator....Pages 491-501
Rethinking Renormalization....Pages 503-528
Magnetism, FeS Colloids, and Origins of Life....Pages 529-564
The Ehrenfest Theorem in Quantum Field Theory....Pages 565-575