Mathematicshttp://repository.iitgn.ac.in/handle/123456789/5472017-05-28T14:24:40Z2017-05-28T14:24:40ZTransversal intersection of polynomial idealsSaha, JoydipSengupta, IndranathTripathi, Gaurabhttp://repository.iitgn.ac.in/handle/123456789/29282017-05-09T09:35:31Z2017-05-01T00:00:00ZTransversal intersection of polynomial ideals
Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab
2017-05-01T00:00:00ZNew representations for σ(q) via reciprocity theoremsBanerjee, KoustavDixit, Atulhttp://repository.iitgn.ac.in/handle/123456789/28832017-04-18T12:09:27Z2016-03-17T00:00:00ZNew representations for σ(q) via reciprocity theorems
Banerjee, Koustav; Dixit, Atul
2016-03-17T00:00:00ZOn a theorem of A. I. Popov on sums of squaresBerndt, Bruce C..Dixit, AtulKim, SunZaharescu, Alexandruhttp://repository.iitgn.ac.in/handle/123456789/28732017-04-18T10:47:03Z2017-04-01T00:00:00ZOn a theorem of A. I. Popov on sums of squares
Berndt, Bruce C..; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru
Let $ r_k(n)$ denote the number of representations of the positive integer $ n$ as the sum of $ k$ squares. In 1934, the Russian mathematician A. I. Popov stated, but did not rigorously prove, a beautiful series transformation involving $ r_k(n)$ and certain Bessel functions. We provide a proof of this identity for the first time, as well as for another identity, which can be regarded as both an analogue of Popov's identity and an identity involving $ r_2(n)$ from Ramanujan's lost notebook.
2017-04-01T00:00:00ZExistence of solutions to fully nonlinear elliptic equations with gradient nonlinearityTyagi, JagmohanVerma, Ram Baranhttp://repository.iitgn.ac.in/handle/123456789/28522017-04-15T21:07:32Z2017-04-01T00:00:00ZExistence of solutions to fully nonlinear elliptic equations with gradient nonlinearity
Tyagi, Jagmohan; Verma, Ram Baran
2017-04-01T00:00:00Z