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After an eclipse of some 50 years, Number Theory, that is to say the study of the properties of the integers, has... Read More >>
Talks about the development of reciprocity laws, starting from conjectures of Euler. This book discusses the contributions... Read More >>
Gauss created the theory of binary quadratic forms in ""Disquisitiones Arithmeticae"" and Kummer invented ideals... Read More >>
Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal... Read More >>
Find a polynomial of degree n with eoeffieients in the set { + 1, -I} that has smallest possible supremum norm on... Read More >>
Numbers ... What are p-adic numbers, p-adic analysis, p-adic physics, p-adic probability? I· We get an infinite... Read More >>
The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the... Read More >>
Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently... Read More >>
In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the... Read More >>
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction... Read More >>
Explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results... Read More >>
From the reviews: ""This is a very interesting book containing material for a comprehensive study of the cyclid... Read More >>
Lattices are discrete subgroups of maximal rank in a Euclidean space. This book thus discusses a beautiful and central... Read More >>
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best... Read More >>
This book can be seen as a continuation of Equations and Inequalities: El ementary Problems and Theorems in Algebra... Read More >>
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic... Read More >>
The value of Aw is determined up to mv + nv , where v and v are complex numbers, and m and n are 1 2 1 2 integers.... Read More >>
Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence,... Read More >>
The book provides a self-contained introduction to classical Number Theory. The book will be directed to advanced... Read More >>