Journal Articles
https://repository.iitgn.ac.in/handle/123456789/552
2020-01-25T03:46:27ZThe generalized modified Bessel function and its connection with Voigt line profile and Humbert functions
https://repository.iitgn.ac.in/handle/123456789/5044
The generalized modified Bessel function and its connection with Voigt line profile and Humbert functions
Kumar, Rahul
2020-03-01T00:00:00ZA simple proof of a congruence for a series involving the little q-Jacobi polynomials
https://repository.iitgn.ac.in/handle/123456789/4980
A simple proof of a congruence for a series involving the little q-Jacobi polynomials
Dixit, Atul
We give a simple and a more explicit proof of a mod 4 congruence for a series involving the little q-Jacobi polynomials which arose in a recent study of a certain restricted overpartition function.
2019-11-01T00:00:00ZOn squares of odd zeta values and analogues of Eisenstein series
https://repository.iitgn.ac.in/handle/123456789/4604
On squares of odd zeta values and analogues of Eisenstein series
Dixit, Atul; Gupta, Rajat
A Ramanujan-type formula involving the squares of odd zeta values is obtained. The crucial part in obtaining such a result is to conceive the correct analogue of the Eisenstein series involved in Ramanujan's formula for . The formula for is then generalized in two different directions, one, by considering the generalized divisor function , and the other, by studying a more general analogue of the aforementioned Eisenstein series, consisting of one more parameter N. A number of important special cases are derived from the first generalization. For example, we obtain a series representation for , where ? is a non-trivial zero of . We also evaluate a series involving the modified Bessel function of the second kind in the form of a rational linear combination of and for .
2019-06-01T00:00:00ZPrimary decomposition and normality of certain determinantal ideals
https://repository.iitgn.ac.in/handle/123456789/4596
Primary decomposition and normality of certain determinantal ideals
Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab
In this paper, we study primality and primary decomposition of certain ideals which are generated by homogeneous degree 2 polynomials and occur naturally from determinantal conditions. Normality is derived from these results.
2019-06-01T00:00:00Z