Published Work
Representation of even Gaussian integer à la Chen (with Habibur Rahaman), Ramanujan J., Accepted for publication.
Explicit identities on zeta values over imaginary quadratic field (with Rahul Kumar), Adv. in Appl. Math., 166 (2025), 102865, 42 pp.
A note on odd zeta values over any number field and extended Eisenstein series (with Rajat Gupta and Rahul Kumar), J. Math. Anal. Appl., 531 (2024), 127883, 17 pp.
On a conjecture of Sun about sums of restricted squares, J. Number Theory, 256 (2024), 253 - 289.
Lambert series of logarithm, the derivative of Deninger's function R(z) and a mean value theorem for zeta(1/2-it) zeta'(1/2+it) (with Atul Dixit and Shivajee Gupta), Canad. J. Math., 76 (2024), 1695 - 1730.
Explicit transformations for generalized Lambert series associated with the divisor function $\sigma_a^{(N)}(n)$ and their applications (with Atul Dixit and Shivajee Gupta), Res. Math. Sci., 10:4 (2023), 38, 50 pp.
Equivalent criterion for the grand Riemann hypothesis associated to Maass cusp forms (with Rahul Kumar), Proc. Roy. Soc. Edinburgh Sect. A, 154 (2024), 1348 - 1363.
Finiteness theorems for universal sums of squares of almost primes ( with Ben Kane), Trans. Amer. Math. Soc., 375 (2022), 7669 - 7714.
An analogue of Wilton's formula and values of Dedekind zeta functions (with Kalyan Chakraborty and Azizul Hoque), J. Math. Anal. Appl., 495 (2021), 124675, 20 pp.
Piltz divisor problem over number fields à la Voronoï, Proc. Amer. Math. Soc., 149 (2021), 1025 - 1038.
Fermat's polygonal number theorem for repeated generalized polygonal numbers (with Manav Batavia, Ben Kane, Muratzhan Kyranbay, Dayoon Park, Sagnik Saha, Hiu Chun So and Piyush Varyani), J. Number Theory, 220 (2021), 163 - 181.
Signs of Fourier coefficients of cusp form at sum of two squares (with Manish Pandey), Proc. Indian Acad. Sci. (Math. Sci.), 130 : 2 (2020), 9 pp.
Asymptotic behaviour of a Lambert series à la Zagier: Maass case (with Kalyan Chakraborty), Ramanujan J., 48 : 3 (2019), 567 - 575.
Convolution formula as a Stieltjes resultant (with Shigeru Kanemitsu), Kyushu J. Math., 72 : 2 (2018), 429 - 439.
A note on signs of Fourier coefficients of two cusp forms, Proc. Indian Acad. Sci. (Math. Sci.), 128 : 43 (2018), 6 pp.
Some accessible treatment of algebraic isomorphism (with Li, Liu, Sun and Shigeru Kanemitsu), Ann. Univ. Budapest. Sect. Comput., 47 (2018), 141 - 146.
A short note on sign changes of Fourier coefficients of cusp form, Proc. of the 16th annual conference SSFA, 16 (2017), 53 - 57.
On the product of Hurwitz zeta-functions (with Nian Liang Wang), Proc. Japan Acad. Ser. A Math. Sci., 93 : 5 (2017), 31 - 36.
Preprints
Sums of generalized polygonal numbers of almost prime "length" (with Ben Kane and Daejun Kim), Submitted for publication.
Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series (with Vijay Sahani), Submitted for publication.