'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it.
The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis ...
EIGENFUNCTION EXPANSIONS ASSOCIATED WITH SECOND-ORDER DIFFERENTIAL EQUATIONS BY E. C. TITCHMARSH FJR. S. SAVILIAN PROFESSOR OF GEOMETRY IN THE UNIVERSITY OF OXFORD OXFORD AT THE CLARENDON PRESS 1946 OXFORD UNIVERSITY PRESS AMEN HOUSE, E. G. 4 LONDON EDINBURGH GLASGOW NEW YORK TORONTO MELBOURNE CAPE TOWN BOMBAY CALCUTTA MADRAS GEOFFREY CUMBERLEGE ...
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