ERRATA AND CORRECTIONS TO A FRIENDLY INTRODUCTION TO NUMBER THEORY THIRD EDITION JOSEPH H. SILVERMAN Acknowledgements Page vii (Corrected in 2nd Printing)

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ERRATA AND SUPPLEMENTARY MATERIAL FOR A FRIENDLY INTRODUCTION TO NUMBER THEORY FOURTH EDITION JOSEPH H. SILVERMAN Acknowledgements Page vii

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New York Journal of Mathematics New York J. Math–12. Lang’s height conjecture and Szpiro’s conjecture Joseph H. Silverman

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New York Journal of Mathematics New York J. Math–12. Lang’s height conjecture and Szpiro’s conjecture Joseph H. Silverman

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NTRU: A PUBLIC KEY CRYPTOSYSTEM NTRU Cryptosystems, Inc. (www.ntru.com) Jeff Hoffstein Daniel Lieman Jill Pipher Joseph H. Silverman

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A Local-Global Criterion for Dynamics on P1 ´ FELIPE VOLOCH JOSEPH H. SILVERMAN AND JOSE Abstract. Let K be a number field or a one-dimensional function field, let ϕ : P1 → P1 be a rational map of degree at least two

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K AT H E R I N E E . S TA N G E personal information email

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The Four Faces of Lifting for the Elliptic Curve Discrete Logarithm Problem Joseph H. Silverman Brown University

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1. J. Hoffstein, A. Kontorovich, The first non-vanishing quadratic twist of an automorphic L-series, preprint 2. S. Ganguly, J. Hoffstein, J. Sengupta, Determining modular forms on SL(2, Z) by central values of convoluti

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AN INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHY ERRATA FOR THE FIRST EDITION JEFFREY HOFFSTEIN, JILL PIPHER, JOSEPH H. SILVERMAN Acknowledgements We would like to thank the following people who have sent us comments and cor

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