Elementary Dirichlet Series and Modular Forms

Description

Publisher: Springer
Language: English
ISBN: 0387724737
Paperback: 152 pages
Data: Sep 2007
Format: PDF
Description: The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementry Fourier analysis, we present completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given. The second half of the book assumes familiarity with basic knowledge of modular forms. However, all definitions and facts are clearly stated, and precise references are to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are: (1) some new results on classical Eisenstein series; (2) the discussion of isomorphism classes of ellitic curves with complex multiplication in connection with their zeta function and periods; (3) a new class of holomorphic differential operators that send modular forms to those of a different weight.

Download: RapidShare | MiHD - (2M)

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Elementary Dirichlet Series and Modular Forms" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 1357
2. Hecke's Theory of Modular Forms and Dirichlet Series
3. Dirichlet Forms and Markov Processes (Mathematical Library Series, Vol 23): Masatoshi Fukushima
4. Modular Forms
5. Modular Forms
6. Modular Forms on Schiermonnikoog
7. Modular Forms, a Computational Approach
8. Modular Forms and Galois Cohomology
9. Modular Forms and Fermat's Last Theorem
10. A First Course in Modular Forms (Graduate Texts in Mathematics)
11. A First Course in Modular Forms (Graduate Texts in Mathematics)
12. Hilbert Modular Forms and Iwasawa Theory
13. Modular Forms: A Classical and Computational Introduction
14. Geometric Modular Forms and Elliptic Curves
15. Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms (Lecture Notes in Mathematics)
16. Elementary Forms Of The Religious Life: Newly Translated By Karen E. Fields