Browsing by Author "Murty, Ram"
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An Encounter between East and West: The Notion of Truth in William James and Swami Vivekananda
Zajner, ChrisWilliam James considered Swami Vivekananda the exemplary example of a monist, and he comes to reject Vivekananda’s philosophy because it ultimately did not suit his active temperament. However, judging from his assessment ... -
Normal Order of Certain Arithmetic Functions and New Analogues of the Erd\H{o}s-Kac Theorem
Kar, ArpitaIn 1917, Hardy and Ramanujan planted the seeds of Probabilistic Number Theory when they defined `normal order' of an arithmetic function. This was nurtured further by Erd\H{o}s and Kac and many other great minds who infused ... -
Special values of L-series, periodic coefficients and related themes
Pathak, SiddhiThis thesis is centered around the theme of special values of L-functions and other infinite series, which are often expected to be transcendental numbers. More specifically, we focus on the following two questions in ...