E-print Articleshttps://repository.iitgn.ac.in/handle/123456789/5552019-03-25T02:23:57Z2019-03-25T02:23:57ZA simple proof of a congruence for a series involving the little q-Jacobi polynomialsDixit, Atulhttps://repository.iitgn.ac.in/handle/123456789/42712019-03-12T05:31:48Z2019-02-01T00:00:00ZA simple proof of a congruence for a series involving the little q-Jacobi polynomials
Dixit, Atul
2019-02-01T00:00:00ZUntrodden pathways in the theory of the restricted partition function p(n,NDixit, AtulEyyunni, PramodMaji, BibekanandaSood, Garimahttps://repository.iitgn.ac.in/handle/123456789/40482018-12-13T08:14:04Z2018-12-01T00:00:00ZUntrodden pathways in the theory of the restricted partition function p(n,N
Dixit, Atul; Eyyunni, Pramod; Maji, Bibekananda; Sood, Garima
2018-12-01T00:00:00ZSturm-Picone theorem for fractional nonlocal equationsTyagi, Jagmohanhttps://repository.iitgn.ac.in/handle/123456789/40122018-11-16T06:05:56Z2018-11-01T00:00:00ZSturm-Picone theorem for fractional nonlocal equations
Tyagi, Jagmohan
2018-11-01T00:00:00ZA note on certain Tannakian group schemesAmrutiya, Sanjayhttps://repository.iitgn.ac.in/handle/123456789/39952018-11-16T06:05:53Z2018-10-01T00:00:00ZA note on certain Tannakian group schemes
Amrutiya, Sanjay
In this note, we prove that the F-fundamental group scheme is birational invariant for smooth projective varieties. We prove that the F-fundamental group scheme is naturally a quotient of the Nori fundamental group scheme. For elliptic curves, it turns out that the F-fundamental group scheme and the Nori fundamental group scheme coincides. We also consider an extension of the Nori fundamental group scheme in positive characteristic using semi-essentially finite vector bundles and prove that in this way, we do not get a non-trivial extension of the Nori fundamental group scheme for elliptic curves, unlike in characteristic zero.
2018-10-01T00:00:00Z