A Seminar held at the Graduate School and University Center of the City University of New York 1982. Springer-Verlag, 1984. — 318 p. — (Lecture Notes in Mathematics, 1052). — ISBN: 3-540-12909-X, 0-387-12909-X. In January, 1982 four number theorists - David and Gregory Chudnovsky, Harvey Cohn, and Melvyn B. Nathanson - organized the New York Number Theory Seminar. The Seminar...
Springer-Verlag, 1985. — 290 p. — (Lecture Notes in Mathematics, 1135). — ISBN: 3-540-15649-6, 0-387-15649-6. This is the second volume of proceedings of the New York Number Theory Seminar. The Seminar meets every Tuesday afternoon during the academic year at the Graduate School and University Center of the City University of New York. The eleven lectures in this volume are...
Springer-Verlag, 1987. — 311 p. — (Lecture Notes in Mathematics, 1240). — ISBN: 3-540-17669-1, 0-387-17669-1. Th is is the third volume of papers presented at the New York Number Theory Seminar. Since 1982 the Seminar has been meeting every Tuesday afternoon during the academic year at the Graduate School and University Center of the City University of New York. The goal of the...
Springer-Verlag, 1989. — 265 p. — (Lecture Notes in Mathematics, 1383). — ISBN: 3-540-51549-6, 0-387-51549-6. This is the fourth volume of papers presented at the New York Number Theory Seminar. Since 1982 the Seminar has been meeting every Tuesday afternoon during the academic year at the Graduate School and University Center of the City University of New York. The goal of the...
Journal of Symbolic Computation. — 1995. — №19 — С. 507-526 We present a complete characterization of the set of minimal solutions of a single linear Diophantine equation in three unknowns over the natural numbers. This characterization, for which we give a geometric interpretation, is based on well-known properties of congruences and we use it as the foundation of direct...
Cambridge: Cambridge University Press, 1997. — 357 p. — (London Mathematical Society Lecture Note Series, 237). — ISBN 0-521-58957-6. This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from leading international figures in this area, which encompasses the...
Journal of Symbolic Computation 36 (2003). — 21 p. This paper presents a new encoding scheme for real algebraic number manipulations which enhances current Axiom's real closure. Real closed fields Real closure Algebraic integers Quasi sub-resultants Weak sub-resultants Weak quotients and divisions Real algebraic integers Sign computations Roof finding Localization Internal...
М.: Мир, 1984. — 287 с. — (Новое в зарубежной науке. Математика. Выпуск 34). Сборник посвящен введению в интенсивно развивающееся направление современной теории чисел, связанное с построением некоммутативной теории полей классов. В постановке основной задачи и ее частичном решении равноправную роль играют методы теории алгебраических чисел, L-функций, представлений групп и...
Перевод с англ. — М.: Мир, 1975. — 150 с. Сборник содержит переводы докладов, прочитанных на конференции по теории чисел, организованной Американским математическим обществом. Авторы — известные специалисты по теории чисел Х.-Э. Рихерт, А. Сельберг, Э. Бомбьерн, П. Туран и Э. Вирзинг. Доклады посвящены проблемам аналитической теории чисел, в основном методу решета и связанным с...
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