The numerous explicit formulae of the classical theory of quadratic
forms revealed remarkable multiplicative properties of the numbers
of integral representations of integers by positive definite
integral quadratic forms. These properties were explained by the
original theory of Hecke operators. As regards the integral
representations of quadratic forms in more than one variable by
quadratic forms, no multiplicative properties were known at that
time, and so there was nothing to explain. However, the idea of
Hecke operators was so natural and attractive that soon attempts
were made to cultivate it in the neighbouring field of modular
forms of several variables. The approach has proved to be fruitful;
in particular, a number of multiplicative properties of integral
representations of quadratic forms by quadratic forms were
eventually discovered. By now the theory has reached a certain
maturity, and the time has come to give an up-to-date report in a
concise form, in order to provide a solid ground for further
development. The purpose of this book is to present in the form of
a self-contained text-book the contemporary state of the theory of
Hecke operators on the spaces of hoi om orphic modular forms of
integral weight (the Siegel modular forms) for congruence subgroups
of integral symplectic groups. The book can also be used for an
initial study of modular forms of one or several variables and
theta-series of positive definite integral quadratic forms.
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Grundlehren der mathematischen Wissenschaften, 286 |
| Release date: |
November 2011 |
| First published: |
1987 |
| Authors: |
Anatolij N. Andrianov
|
| Dimensions: |
229 x 152 x 20mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
376 |
| Edition: |
Softcover reprint of the original 1st ed. 1987 |
| ISBN-13: |
978-3-642-70343-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
Promotions
|
| LSN: |
3-642-70343-7 |
| Barcode: |
9783642703430 |
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