This is an advanced book on modular forms. While there are many
books published about modular forms, they are written at an
elementary level, and not so interesting from the viewpoint of a
reader who already knows thebasics. This book offers something new,
which may satisfy the desire of such a reader. However, we state
every definition and every essential fact concerning classical
modular forms of one variable.
One of the principal new features of this book is the theory of
modular forms of half-integral weight, another being the discussion
of theta functions and Eisenstein series of holomorphic and
nonholomorphic types. Thus the book is presented so that the reader
can learn such theories systematically. Ultimately, we concentrate
on the following two themes:
(I) The correspondence between the forms of half-integral weight
and those of integral weight.
(II) The arithmeticity of various Dirichlet series associated
with modular forms of integral or half-integral weight."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Springer Monographs in Mathematics |
Release date: |
November 2011 |
First published: |
2012 |
Authors: |
Goro Shimura
|
Dimensions: |
235 x 155 x 16mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
178 |
Edition: |
2012 ed. |
ISBN-13: |
978-1-4614-2124-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
1-4614-2124-1 |
Barcode: |
9781461421245 |
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