Lectures on modular functions of one complex variable. Notes by Sunder Lal. Rev. ed
The first edition (1964) of these lecture notes has been reviewed extensively (Zbl 0254.10018). In this revised edition the contents remained unchanged. The technical quality of the text, however, has been improved immensely. Now all formulas are neatly typed, the misprints have been eliminated (only a very small number ''survived''), the paper is better, and the book size is handier. The mathematical community has to be grateful to the author and to the publishers that they have produced a text which is pleasant to read and which is still cheaper than almost any other mathematical textbook. Within the two decades between the two editions several other scholars have written their textbooks on modular functions. But the main theme of this volume, namely, the theory of nonanalytic modular forms and associated Dirichlet series, has not been dealt with by other authors. Moreover, the reviewer feels that the author's path through the classical topics which are common to all textbooks has some advantages, namely, simplicity of notations and concepts, directness, lucidity, and a wide scope of contents.
scientific article; zbMATH DE number 3857216