Browsing by Main Subject "Mathematics"

Browsing by Main Subject "Mathematics"

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  • Unique factorization of tensor products for Kac-Moody Algebras [HBNI Th55] 
    Venkatesh, R. (The Institute of Mathematical Sciences, 2013)
    In the first part, we address a fundamental question, unique factorization of tensor products, that arises in representation theory. We consider integrable, category O modules of indecomposable symmetrizable Kac-Moody ...
  • Variational formulae for Fuchsian groups over families of Algebraic curves 
    Dakshini, Bhattacharyya (, 2009-08-18)
    This thesis contributes to the problem of understanding the uniformizing Fuchsian groups for a family of plane algebraic curves by determining explicit first variational formulae for the generators of the Fuchsian groups ...
  • Zeros of general L-functions on the critical line[HBNI Th52] 
    Krishnan Rajkumar (The Institute of Mathematical Sciences, 2013)
    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 ...