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DJVUThis volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory. ...

John is an extraordinary teen, masking his true identity and passing as a typical high school student to elude a deadly enemy seeking to destroy him. Three like him have already been killed ... he is Number Four.

0387570136The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature. ...

This book contains the proceedings of the third conference of the Canadian Number Theory Association. The 38 technical papers presented in this volume discuss relevant and timely issues in the fields of analytic number theory, arithmetical algebraic geometry, and diophantine approximation. The book includes several papers honoring Paulo Ribenboim, to whom this conference was dedicated. ...

John is an extraordinary teen, masking his true identity and passing as a typical high school student to elude a deadly enemy seeking to destroy him. Three like him have already been killed ... he is Number Four.