Titlebook: Ramanujan‘s Place in the World of Mathematics; Essays Providing a C Krishnaswami Alladi Book 2021Latest edition Springer Nature Singapore P

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殖民地

Fermat and Ramanujan: A Comparisons. The famous Ramanujan taxi-cab equation is discussed as a Diophantine equation in four variables having solutions, but this equation becomes the cubic version of Fermat’s Last Theorem when one of the variables is set equal to zero, in which case there are no non-trivial solutions.

鋼盔

Judicious

Erd?s and Ramanujan: Legends of Twentieth Century Mathematicsinspired by Ramanujan’s work on prime numbers and arithmetical functions. The origins of probabilistic number theory founded by Erd?s and Marc Kac in the 1940s can be traced to the fundamental 1917 paper of Hardy and Ramanujan on round numbers and the remarkable story of how the Erd?s–Kac collaboration came about is also told.

amphibian

grounded

Leonhard Euler: Most Prolific Mathematician in History, a selection of some of his great contributions are discussed, some of which have strong links with the work of Ramanujan, such as the theory of partitions and .-hypergeometric series, the Ramanujan taxi-cab equation, and sums involving the roots of unity.

meditation

J.E. Littlewood: Ramanujan’s Contemporary and Hardy’s Collaborator Method that Hardy and Littlewood developed into a powerful tool in additive number theory, the method having its basic formulation in the Hardy–Ramanujan paper on the asymptotics of the partition function.

SCORE

Issai Schur: Ramanujan’s German Contemporaryers–Ramanujan identities has resulted in significant developments in the theory of partitions. Here we describe Schur’s life and work both in group theory and on partitions, and make comparisons with the work of Ramanujan.

cravat

積習(xí)已深

s mathematics and compares his work with other great mathema.The First Edition of the book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose life and works have things in common wit