#### Alladi Ramakrishnan Hall

#### Voronoi summation formula for a generalized divisor function

#### Akshaa Vatwani

##### IIT Gandhinagar

*In 1904, Vorono\" {\i} formulated a conjecture for arithmetical functions, which is a generalization of the Poisson summation formula. He was able to establish this conjecture for the divisor function $d(n)$, giving a relation between Bessel functions and weighted sums of the divisor function. Such formulas have since been generalized to various arithmetical functions. We report on joint work with Atul Dixit, Bibekananda Maji and A. Sankaranarayanan, giving such a formula for a generalized divisor function.*

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