Arithmetic and analytic aspects of values of L-functions [HBNI Th240]

Rashi Sanjay Lunia

dc.contributor.author	Rashi Sanjay Lunia
dc.date.accessioned	2024-05-20T07:09:43Z
dc.date.available	2024-05-20T07:09:43Z
dc.date.issued	2024	en
dc.date.submitted	2024-04
dc.identifier.uri	https://dspace.imsc.res.in/xmlui/handle/123456789/876
dc.description.abstract	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.	en_US
dc.description.tableofcontents	Prerequisites Modular Forms Half-integer weight modular forms L-functions On extreme values of quadratic twists of Dirichlet-type L-functions Extreme values of L-functions of newforms Transcendence of generalized Euler-Kronecker constants On quotients of derivatives of L-functions inside the critical strip	en_US
dc.publisher.publisher	The Institute of Mathematical Sciences
dc.subject	Arithmetic and analytic	en_US
dc.subject	values of L-functions	en_US
dc.title	Arithmetic and analytic aspects of values of L-functions [HBNI Th240]	en_US
dc.type.degree	Ph.D	en_US
dc.type.institution	Institute of Mathematical Sciences	en_US
dc.description.advisor	Sanoli Gun
dc.description.pages	IV, 134 p.	en_US
dc.type.mainsub	Mathematics	en_US
dc.type.hbnibos	Mathematical Sciences	en_US