Research & Publications

My research interest lies in transcendental number theory, Diophantine approximation and properties of zeros of modular forms.

My profile at Mathscinet can be found here. Below is the list of my publications.

Submitted articles

1. On monomial relations of the Poincaré cusp forms of index 1 (with D. Kala), submitted.

2. On the intersecting points of various polygamma functions (with P. Goyat), submitted.

3. Quadratic Pellian polynomials over the ring of integers of number fields (with A. Gupta), submitted.

Published/Accepted articles

1. Characterisation of quadratic integral Pellian polynomials (with A. Gupta), to appear in Monatshefte für Mathematik.

2. On the zeros of certain linear combinations of Poincaré cusp forms (with D. Kala), Bull. Aust. Math. Soc. (DOI:10.1017/S0004972726101245).

3. Integer solutions of the generalised polynomial Pell equations and their finiteness: the quadratic case (with A. Gupta), Canad. Math. Bull. 69 (2026), no. 1, 261-272.

4. Interlacing of the zeros of weakly holomorphic Poincaré series on the unit circle (with D. Kala), Ramanujan J. 68 (2025), article no. 24.

5. On arithmetic nature of the special values of the incomplete beta function (with S. Dhillon), Acta Arith. 218 (2025), no. 3, 273-284.

6. On the interlacing of the zeros of certain Poincaré cusp forms (with S. Dhillon and D. Kala), J. Math. Anal. Appl. 528 (2023), 127540.

7. Semi-abelian analogues of Schanuel conjecture and applications (with C. Bertolin, P. Philippon and B. Saha), J. Algebra 596 (2022), 250-288.

8. On the interlacing of the zeros of Poincaré series (with N. Saradha), Ramanujan J. 53 (2020), no. 2, 439-465.

9. An abelian analogue of Schanuel’s conjecture and applications (with P. Philippon and B. Saha), Ramanujan J. 52 (2020), no. 2, 381–392.

10. On interlacing of the zeros of a certain family of modular forms (with N. Saradha), J. Number Theory 183 (2018), 213-232.

11. Linear and algebraic independence of generalized Briggs-Lehmer constants (with S. Gun and V.K. Murty), J. Number Theory 166 (2016), 117-136.

12. A generalisation of an identity of Lehmer (with S. Gun and S.B. Sinha), Acta Arith. 173 (2016), no. 2, 121-131.

13. A note on generalized Briggs-Lehmer constants (with S. Gun), Ramanujan Math. Soc. Lect. Notes Ser. 23 (2016), 93-104.

14. Transcendental values of the incomplete gamma function and related questions (with M.R. Murty), Arch. Math. (Basel) 105 (2015), no. 3, 271-283.

15. Transcendence of generalized Euler-Lehmer constants (with S. Gun and S.B. Sinha), J. Number Theory 145 (2014), 329-339.