Papers

1. Fourier optimization and pair correlation problems

(with T. Ismoilov, A. P. Ramos) 

Preprint.

2. Effective equidistribution of Galois orbits for mildly regular test functions 

(with E. Carneiro)

Preprint

3. Variance of a general class of multiplicative functions in short intervals 

(with P. Darbar)

Preprint

4. Poissonian pair correlation for higher dimensional real sequences

(with T. Bera, A. Mukhopadhyay)

Mathematika, 70 (2024), Issue 4, e12283, 23pp.

5. Distribution of the zeros of polynomials near the unit circle

Journal of Approximation Theory 304 (2024), Paper no. 106087, 14pp.

6. Zeros of higher derivatives of Riemann zeta function

 (with S. Pujahari)

 Journal of Mathematical Analysis and Applications 539 (2024), no. 1, Paper no. 128531, 17pp.

7. Mean of the product of derivatives of Hardy's Z-function with Dirichlet Polynomial

(with S. Pujahari)

Journal of Number Theory 258 (2024), 334--367.

8. On higher dimensional Poissonian pair correlation

(with T. Bera, A. Mukhopadhyay)

Journal of Mathematical Analysis and Applications 530 (2024), no. 1, Paper No. 127686, 17 pp.

9. Hilbert transforms and equidistribution of zeros of polynomial

(with E. Carneiro, A. Florea, A. Kumchev, A. Malik, M. Milinovich, C. Turnage-Butteraugh, J. Wang) 

Journal of Functional Analysis 281 (2021), no. 9, Paper no. 109199, 25 pp.

10. Distribution of signs of Karatsuba's and generalized Davenport-Heilbronn Z-functions

(S. Pujahari)

Journal of Number Theory 212 (2020) 409--447.

11. Higher dimensional Dedekind sums and twisted mean value of Dirichlet L-series

 ( with A. Juyal)

Journal of the Ramanujan Mathematical Society 35, No. 4 (2020) 327--340.

12. Combinatorial properties of sparsely totient numbers

(with B. R. Patil, E. Pramod)

Journal of the Ramanujan Mathematical Society 35, No.1 (2020) 1--16.

13. Sparse subsets of the natural numbers and Euler’s totient function

(with B. R. Patil, E. Pramod)

Proceedings of the Indian Academy of Sciences: Mathematical Sciences 129 (2019), no. 5, Paper No. 84, 25 pp.