Polyadic Transcendental Number Theory by Vladimir G Chirski

Polyadic Transcendental Number Theory

The existence of transcendental numbers was first proved in 1844, by Joseph Liouville. Advances were made by...
¥30,092 JPY
¥30,092 JPY
SKU: 9781800615885
Product Type: Books
Please hurry! Only 171 left in stock
Author: Vladimir G Chirski
Format: Hardcover
Language: English
Subtotal: ¥30,092
10 customers are viewing this product
Polyadic Transcendental Number Theory by Vladimir G Chirski

Polyadic Transcendental Number Theory

¥30,092

Polyadic Transcendental Number Theory

¥30,092
Author: Vladimir G Chirski
Format: Hardcover
Language: English

The existence of transcendental numbers was first proved in 1844, by Joseph Liouville. Advances were made by Charles Hermite, proving the transcendence of the number e, and Ferdinand von Lindemann, proving the transcendence of the number π. The consequence of these discoveries was the negative solution to the problem of squaring the circle, which has stood for many years. In the 20th century, the theory of transcendental numbers developed further, with general methods of investigating the arithmetic nature of various classes of numbers. One of these methods is the Siegel-Shidlovskii method, previously used for the so-called E- and G-functions.


Polyadic Transcendental Number Theory outlines the extension of the Siegel-Shidlovskii method to a new class of F-series (also called Euler-type series). Analogues of Shidlovskii's famous theorems on E-functions are obtained. Arithmetic properties of infinite-dimensional vectors are studied, and therefore elements of direct products of rings of integer p-adic numbers are considered. Hermite-Pad? approximations are used to investigate the values of hypergeometric series with algebraic irrational parameters. Moreover, the book describes how to use Hermite-Pad? approximations to obtain results on the values of hypergeometric series with certain transcendental (polyadic Liouville) parameters. Based on recent results, this book contains indications of promising areas in a new field of research. The methods described will allow readers to obtain many new results.




Author: Vladimir G Chirski
Publisher: Wspc (Europe)
Published: 09/07/2024
Pages: 200
Binding Type: Hardcover
Weight: 1.01lbs
Size: 9.00h x 6.00w x 0.56d
ISBN: 9781800615885

Returns Policy

You may return most new, unopened items within 30 days of delivery for a full refund. We'll also pay the return shipping costs if the return is a result of our error (you received an incorrect or defective item, etc.).

You should expect to receive your refund within four weeks of giving your package to the return shipper, however, in many cases you will receive a refund more quickly. This time period includes the transit time for us to receive your return from the shipper (5 to 10 business days), the time it takes us to process your return once we receive it (3 to 5 business days), and the time it takes your bank to process our refund request (5 to 10 business days).

If you need to return an item, simply login to your account, view the order using the "Complete Orders" link under the My Account menu and click the Return Item(s) button. We'll notify you via e-mail of your refund once we've received and processed the returned item.

Shipping

We can ship to virtually any address in the world. Note that there are restrictions on some products, and some products cannot be shipped to international destinations.

When you place an order, we will estimate shipping and delivery dates for you based on the availability of your items and the shipping options you choose. Depending on the shipping provider you choose, shipping date estimates may appear on the shipping quotes page.

Please also note that the shipping rates for many items we sell are weight-based. The weight of any such item can be found on its detail page. To reflect the policies of the shipping companies we use, all weights will be rounded up to the next full pound.

Related Products

Recently Viewed Products