#### Room 326

#### Shifted convolution sum in the context of Ramanujan expansions

#### Biswajyoti Saha

##### IMSc

*In this talk we will describe how Ramanujan expansions can be*

used to study shifted convolution sums. A heuristic study leads to the

Hardy-Littlewood prime k-tuple conjecture for k=2. Here we will

formalize the setup and see how far one can proceed.

Done