Research
I am interested in analytic number theory and the Riemann zeta-function. Here's a list of recent work and some of my most immediate projects.
DOCTORAL PAPERS (2011-2015)
(1) On a class of functions that satisfies explicit formulae involving the Möbius function
joint work with P. Kühn and A. Roy
The Ramanujan Journal (
10.1007/s11139-014-9608-1)
(2) Zeta functions on tori using contour integration
joint work with E. Elizalde, K. Kirsten and F. L. Williams
Int. J. Geom. Methods Mod. Phys. (
10.1142/S021988781550019X)
(3) Zeros of combinations of the Riemann ξ-function on bounded vertical shifts
joint work with A. Dixit, A. Roy and A. Zaharescu
Journal of Number Theory (
10.1016/j.jnt.2014.10.004)
(4) Explicit formulas of a generalized Ramanujan sum
joint work with P. Kühn
International Journal of Number Theory (
S1793042116500238)
(5) Twisted second moments of the Riemann zeta-function and applications
joint work with A. Roy and A. Zaharescu
Journal of Mathematical Analysis and Applications (
10.1016/j.jmaa.2015.08.064)
(6) Koshliakov kernel and identities involving the Riemann zeta function
joint work with A. Dixit, A. Roy and A. Zaharescu
Journal of Mathematical Analysis and Applications (
10.1016/j.jmaa.2015.11.007)
POST-DOCTORAL PAPERS (2015-)
(7) Moments of averages of generalized Ramanujan sums
joint work with A. Roy
Submitted
