Zeros of general L-functions on the critical line (Record no. 48854)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01631nam a2200265Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2012||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI Th52 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Krishnan Rajkumar |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Zeros of general L-functions on the critical line |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 65p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2012 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | The author studies the gaps between consecutive zeros on the critical line for the Riemann zeta function, and some of its generalisations, namely, the Epstein zeta function and the Selberg class of functions. First a simplified exposition of a result of Ivic and Jutila on the large gaps between consecutive zeros of Riemann zeta function on the critical line is given. Then presented a generalisation of this result to the case of the Epstein zeta function associated to a certain binary, positive definite, integral quadratic form Q(x, y). Then established the analogue of Hardy's theorem, namely, - that there are infinitely many zeros on the critical line, for degree 2 elements of the Selberg class of L-functions whose Dirichlet coefficients satisfy certain mild growth conditions. The study concludes with a conditional version of Hardy's theorem for the degree d > 2 elements of the Selberg class. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Epstein Zeta Function |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI Th52 |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Riemann Zeta Function |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Selberg Class |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Srinivas, K. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/339 |
| 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 |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI Th52 | 68286 | http://www.imsc.res.in/xmlui/handle/123456789/339 | THESIS & DISSERTATION |