Arithmetic and analytic aspects of values of L-functions [HBNI Th240] (Record no. 60380)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01200nam a22002057a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240520b |||||||| |||| 00| 0 eng d |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI |
| Item number | Th240 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Lunia, Rashi Sanjay |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Arithmetic and analytic aspects of values of L-functions [HBNI Th240] |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Chennai |
| Name of publisher | The Institute of Mathematical Sciences |
| Year of publication | 2024 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | iv, 134p. |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| Name of granting institution | HBNI |
| Year degree granted | 2024 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The central theme of this thesis is to study some analytic and arithmetic properties of values of L-functions at “special points”. The values of L-functions encode a lot of arithmetic data and are at the heart of several deep mysteries. The Riemann hypothesis which predicts that all non-trivial zeros of the Riemann zeta function lie on the line ℜ(s) = 1/2 is one such enigma. For a non-trivial Dirichlet character χ, it is expected that L(s, χ) does not vanish at 1/2. Though this problem is still wide open, a lot of progress has been made in recent years. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 720 ## - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Sanoli Gun |
| Relator term | Thesis Advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://dspace.imsc.res.in/xmlui/handle/123456789/876 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| 1 | IMSc Library | HBNI Th240 | 77925 | https://dspace.imsc.res.in/xmlui/handle/123456789/876 | THESIS & DISSERTATION |