Arithmetic and analytic aspects of values of L-functions [HBNI Th240]
Material type:
TextLanguage: English Publication details: Chennai The Institute of Mathematical Sciences 2024Description: iv, 134pSubject(s): Online resources: Dissertation note: Ph.D HBNI 2024 Summary: 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.
THESIS & DISSERTATION
| Home library | Call number | Materials specified | URL | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI Th240 (Browse shelf(Opens below)) | Link to resource | 1 | 77925 |
Ph.D HBNI 2024
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.
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