Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Elementary Dirichlet Series and Modular Forms - Goro Shimura

Elementary Dirichlet Series and Modular Forms

By: Goro Shimura

eText | 6 August 2007

At a Glance

eText

$84.99

or 4 interest-free payments of $21.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.
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.
on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsNumber TheoryGeometryAlgebraic Geometry

Other Editions and Formats

Paperback

Published: 19th November 2010

View Product

More in Number Theory

Handbook of Algebra : Handbook of Algebra : Book 4 - M. Hazewinkel

eBOOK

Handbook of Algebra

Handbook of Algebra : Book 4

eBook

RRP $240.00

$216.99

10%
OFF
Leonhard Euler : Life, Work and Legacy - Robert E. Bradley

eBOOK

Leonhard Euler

Life, Work and Legacy

eBook

RRP $185.00

$166.99

10%
OFF

This product is categorised by