J. Silverman

Publications
Influence

J. Silverman
Mathematics, Computer Science
Graduate texts in mathematics
1986

The study of Diophantine equations, that is, the solution of polynomial equations in integers or rational numbers, has a history stretching back to ancient Greece and beyond. Expand

3,357
295
PDF

NTRU: A Ring-Based Public Key Cryptosystem

J. Hoffstein, J. Pipher, J. Silverman
Computer Science
ANTS
21 June 1998

We describe NTRU, a new public key cryptosystem that uses a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory. Expand

1,384
159
PDF

Advanced Topics in the Arithmetic of Elliptic Curves

J. Silverman
Mathematics
1994

In The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational… Expand

1,598
99

NTRUSIGN: Digital Signatures Using the NTRU Lattice

J. Hoffstein, Nick Howgrave-Graham, J. Pipher, J. Silverman, William Whyte
Mathematics, Computer Science
CT-RSA
13 April 2003

We present a mechanism to encrypt to an arbitrary collection of identities using a variant of the Boneh-Franklin identity based encryption scheme using a logical formulae of conjunctions and disjunctions. Expand

The Arithmetic of Dynamical Systems

J. Silverman
Mathematics
6 June 2007

* Provides an entry for graduate students into an active field of research * Each chapter includes exercises, examples, and figures * Will become a standard reference for researchers in the field … Expand

Rational Points on Elliptic Curves

J. Silverman, J. Tate
Mathematics
1992

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an… Expand

Diophantine Geometry: An Introduction

M. Hindry, J. Silverman
Mathematics
2000

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and… Expand

An introduction to mathematical cryptography

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics… Expand

The canonical height and integral points on elliptic curves

M. Hindry, J. Silverman
Mathematics
1 June 1988

Canonical heights on varieties with morphisms

Gregory S. Call, J. Silverman
Mathematics
1993

© Foundation Compositio Mathematica, 1993, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions… Expand

Recommended Authors