The Legacy of Alladi Ramakrishnan in the Mathematical Sciences (eBook, PDF)
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The Legacy of Alladi Ramakrishnan in the Mathematical Sciences (eBook, PDF)
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- Verlag: Springer New York
- Erscheinungstermin: 26. August 2010
- Englisch
- ISBN-13: 9781441962638
- Artikelnr.: 37347070
- Verlag: Springer New York
- Erscheinungstermin: 26. August 2010
- Englisch
- ISBN-13: 9781441962638
- Artikelnr.: 37347070
- PrefacePart 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-Szegö 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).
- PrefacePart 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-Szegö 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).