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From a December 1992 conference in Essen, Germany, 11 papers discuss such topics as elliptic and algebraic curves, abelian varieties, algebraic surfaces, Galois module structure, and Hilbert's 17th problem (no, not another grandchild). For practitioners and graduate students in algebra and number theory. No index. Annotation copyright Book News, In

Die folgende Einflihrung in die Zahlentheorie entstand aus Vorlesungen, die. ich an der Universitiit des Saarlandes gehalten habe; sie urnfa t ziernlich genau den Stoff, der im Verlauf eines Wintersemesters im Rahmen der Vorlesung tiber "Elementare Zahlentheorie" behandelt wurde. Diese Vorlesung hat zwei Ziele: Einerseits sollen moglichst viele Studenten angesprochen werden, denen die Vorlesung "mathematische Allgemeinbil dung" auf dem Gebiet der Zahlentheorie vermitteln soli; die fiir die Vor- Ie sung notwendigen Voraussetzungen z.B. auf dem Gebiet der Algebra sollen also moglichst gering...

The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols.
It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.

The Handbook of Elliptic and Hyperelliptic Curve Cryptography is the first exhaustive study of virtually all of the mathematical aspects of curve-based public key cryptography. This carefully constructed volume is a state-of-the-art study that explores both theory and applications. It provides a wealth of ready-to-use algorithms enabling fast implementation along with recommendations for selecting appropriate algorithms. The book also considers side-channel attacks and implementation aspects of smart cards. Broad, comprehensive coverage makes this a complete resource for elliptic and...

It was as a result of having known Juhos personally over many years that I became familiar with his thought. I met him and Viktor Kraft in Vienna soon after the War and through their acquaintance I first came into contact with the tradition of the Vienna Circle. To their conversation .too lowe much as regards the clarification of my own views, even if in the end these took quite a different turn in many essentials. At this point my gratitude goes first of all to Mrs. Lia J uhos for the gen erous help she has given me and the editors of the Vienna Circle collection in selecting the contents of...