Mathematics
https://repository.iitgn.ac.in/handle/123456789/547
2019-03-23T15:22:41ZA simple proof of a congruence for a series involving the little q-Jacobi polynomials
https://repository.iitgn.ac.in/handle/123456789/4271
A simple proof of a congruence for a series involving the little q-Jacobi polynomials
Dixit, Atul
2019-02-01T00:00:00ZZeros of partial sums of L-functions
https://repository.iitgn.ac.in/handle/123456789/4270
Zeros of partial sums of L-functions
Roy, Arindam; Vatwani, Akshaa
We consider a certain class of multiplicative functions�f:N?C. Let�F(s)=?n=1?f(n)n?s�be the associated�Dirichlet series�and�FN(s)=?n?Nf(n)n?sbe the truncated Dirichlet series. In this setting, we obtain new Hal�sz-type results for the logarithmic mean value of�f. More precisely, we prove estimates for the sum�?n=1xf(n)/n�in terms of the size of�|F(1+1/log?x)|�and show that these estimates are sharp. As a consequence of our mean value estimates, we establish non-trivial zero-free regions for the partial sums�FN(s).In particular, we study the zero distribution of partial sums of the Dedekind�zeta function�of a number field�K. More precisely, we give some improved results for the number of zeros up to height�T�as well as new zero density results for the number of zeros up to height�T, lying to the right of�Re(s)=?, where�??1/2.
2019-04-01T00:00:00ZStudies on the existence of positive viscosity solutions to fully nonlinear elliptic PDEs
https://repository.iitgn.ac.in/handle/123456789/4186
Studies on the existence of positive viscosity solutions to fully nonlinear elliptic PDEs
Verma, Ram Baran
2018-01-01T00:00:00ZTransversal intersection of monomial ideals
https://repository.iitgn.ac.in/handle/123456789/4057
Transversal intersection of monomial ideals
Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab
2018-12-01T00:00:00Z