These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the theory of algebraic numbers. The first part of these notes treats all the necessary local aspects of algebraic number theory that appear in the for…
These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number …
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical func…
