Theta functions, elliptic functions and π / / Heng Huat Chan.
This book presents several results on elliptic functions and Pi, using Jacobi’s triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan’s work on Pi. The inclu...
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| Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (XVI, 122 p.) |
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| 100 | 1 | |a Chan, Heng Huat, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theta functions, elliptic functions and π / |c Heng Huat Chan. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2020] | |
| 264 | 4 | |c ©2020 | |
| 300 | |a 1 online resource (XVI, 122 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Textbook | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Foreword -- |t Introduction -- |t Acknowledgments -- |t 1 An introduction to Jacobi’s triple product identity -- |t 2 Jacobi’s theta functions of one variable and the triple product identity -- |t 3 Two-variable extensions of Jacobi’s theta functions and the partition function -- |t 4 Ramanujan’s differential equations -- |t 5 Elliptic functions and Jacobi’s triple product identity -- |t 6 Two elliptic functions and their properties -- |t 7 An elliptic function of Jacobi -- |t 8 Hypergeometric series and Ramanujan’s series 1/π -- |t 9 The Gauss–Brent–Salamin algorithm for π -- |t Index -- |t Bibliography |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a This book presents several results on elliptic functions and Pi, using Jacobi’s triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan’s work on Pi. The included exercises make it ideal for both classroom use and self-study. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 27. Jan 2023) | |
| 650 | 0 | |a Elliptic functions. | |
| 650 | 0 | |a Functions, Theta. | |
| 650 | 0 | |a Pi. | |
| 650 | 4 | |a Eisenstein-Reihe. | |
| 650 | 4 | |a Elliptische Funktion. | |
| 650 | 4 | |a Modulform. | |
| 650 | 4 | |a Pi ‹Zahl›. | |
| 650 | 4 | |a Zahlentheorie. | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Ebook Package English 2020 |z 9783110696288 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2020 Part 1 |z 9783110696271 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t De Gruyter English eBooks 2020 - UC |z 9783110659061 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2020 English |z 9783110704716 |
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2020 English |z 9783110704846 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2020 |z 9783110704662 |o ZDB-23-DMA |
| 776 | 0 | |c EPUB |z 9783110540758 | |
| 776 | 0 | |c print |z 9783110540710 | |
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| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110541915 |
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| 912 | |a 978-3-11-070484-6 EBOOK PACKAGE Mathematics 2020 English |b 2020 | ||
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