<電子ブック>
Transcendental Numbers / by M. Ram Murty, Purusottam Rath
版 | 1st ed. 2014. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2014 |
大きさ | XIV, 217 p : online resource |
著者標目 | *Murty, M. Ram author Rath, Purusottam author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Algebra LCSH:Mathematical analysis FREE:Number Theory FREE:Algebra FREE:Analysis |
一般注記 | 1. Liouville’s theorem -- 2. Hermite’s Theorem -- 3. Lindemann’s theorem -- 4. The Lindemann-Weierstrass theorem -- 5. The maximum modulus principle -- 6. Siegel’s lemma -- 7. The six exponentials theorem -- 8. Estimates for derivatives -- 9. The Schneider-Lang theorem -- 10. Elliptic functions -- 11. Transcendental values of elliptic functions -- 12. Periods and quasiperiods -- 13. Transcendental values of some elliptic integrals -- 14. The modular invariant -- 15. Transcendental values of the j-function -- 16. More elliptic integrals -- 17. Transcendental values of Eisenstein series -- 18. Elliptic integrals and hypergeometric series -- 19. Baker’s theorem -- 20. Some applications of Baker’s theorem -- 21. Schanuel’s conjecture -- 22. Transcendental values of some Dirichlet series -- 23. Proof of the Baker-Birch-Wirsing theorem -- 24. Transcendence of some infinite series -- 25. Linear independence of values of Dirichlet L-functions -- 26. Transcendence of values of modular forms -- 27. Transcendence of values of class group L-functions -- 28. Periods, multiple zeta functions and (3). This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory HTTP:URL=https://doi.org/10.1007/978-1-4939-0832-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781493908325 |
|
電子リソース |
|
EB00199826 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000116794 |
ISBN | 9781493908325 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降