Topics in half integral weight modular forms
This thesis is divided in three independent chapters. In chapter 1, we prove some explicit results concerning images under Shimura’s map, the methods are elementary. In chapter 2, we provide results on two kernels of half integral weight. Chapter 3 is an exposition to the results obtained as part of...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
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2025
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| Online Access: | https://eprints.nottingham.ac.uk/81182/ |
| _version_ | 1848801301090009088 |
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| author | Branch, James |
| author_facet | Branch, James |
| author_sort | Branch, James |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This thesis is divided in three independent chapters. In chapter 1, we prove some explicit results concerning images under Shimura’s map, the methods are elementary. In chapter 2, we provide results on two kernels of half integral weight. Chapter 3 is an exposition to the results obtained as part of the collaboration with Wissam Raji, Larry Rolen and one of my supervisors Nikolaos Diamantis, where we study periods in the half integral weight setting. |
| first_indexed | 2025-11-14T21:05:16Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-81182 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T21:05:16Z |
| publishDate | 2025 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-811822025-07-31T04:40:27Z https://eprints.nottingham.ac.uk/81182/ Topics in half integral weight modular forms Branch, James This thesis is divided in three independent chapters. In chapter 1, we prove some explicit results concerning images under Shimura’s map, the methods are elementary. In chapter 2, we provide results on two kernels of half integral weight. Chapter 3 is an exposition to the results obtained as part of the collaboration with Wissam Raji, Larry Rolen and one of my supervisors Nikolaos Diamantis, where we study periods in the half integral weight setting. 2025-07-31 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/81182/1/Thesis.pdf Branch, James (2025) Topics in half integral weight modular forms. PhD thesis, University of Nottingham. Shimura images modular forms Hecke operators half integral weight setting |
| spellingShingle | Shimura images modular forms Hecke operators half integral weight setting Branch, James Topics in half integral weight modular forms |
| title | Topics in half integral weight modular forms |
| title_full | Topics in half integral weight modular forms |
| title_fullStr | Topics in half integral weight modular forms |
| title_full_unstemmed | Topics in half integral weight modular forms |
| title_short | Topics in half integral weight modular forms |
| title_sort | topics in half integral weight modular forms |
| topic | Shimura images modular forms Hecke operators half integral weight setting |
| url | https://eprints.nottingham.ac.uk/81182/ |