Publications:

[1] C. G. Karthick Babu, E. Malavika and G. K. Viswanadham, Poissonian pair correlation of linear generalized monomials over primes, Journal of Number Theory, 279, 270-293, (2026).

[2] C. G. Karthick Babu, Ranjan Bera, Jyothsnaa Sivaraman and B. Sury, On Gerth's heuristics for a family of quadratic extensions of certain Galois number fields, Ramanujan Journal, 68, 1 (2025).

[3] C. G. Karthick Babu, Prem Prakash Pandey and Mahesh Kumar Ram, On the explicit Galois group of  $\mathbb{Q}(a_{1}^{\frac{1}{m}}, a_{2}^{\frac{1}{m}}, \dots, a_{n}^{\frac{1}{m}}, \zeta_{m})$ over $\mathbb{Q}$, Publ. Math. Debrecen. 106, 3-4, 285-299, (2025).

[4] C. G. Karthick Babu, Ranjan Bera and B. Sury, Linear Congruences and a Conjecture of Bibak, Czech. Math. J. 74 (149), 1185–1206, (2024).

[5] C. G. Karthick Babu, E. Malavika, and G. K. Viswanadham, Fractional parts of generalized polynomials at prime arguments, J. Math. Anal. Appl. 539 (2024), no.1, Paper No. 128503, 16 pp.

[6] C. G. Karthick Babu, Anirban Mukhopadhyay, Sehra Sahu, On the explicit Galois group of $\mathbb{Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots, \sqrt{a_{n}}, \zeta_{d})$ over $\mathbb{Q}$, Research in Number Theory, 10, 37 (2024). 

[7] C. G. Karthick Babu, Anirban Mukhopadhyay, and G. K. Viswanadham, Discrepancy estimates for some linear generalized monomials at prime arguments. Ramanujan Journal, 63, 431-449 (2024).

[8] C. G. Karthick Babu, Sehra Sahu, Non-primitive roots with a prescribed residue pattern.  Proc Math Sci 133, 9 (2023).

[9] C. G. Karthick Babu, Anirban Mukhopadhyay, and A. Sankaranarayanan, Residue pattern for infinitely many primes. Int. J. Number Theory 19, No. 3, 511-529 (2023).

[10] C. G. Karthick Babu, Anirban Mukhopadhyay, Quadratic residue pattern and the Galois group of $\mathbb{Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots, \sqrt{a_{n}})$ over $\mathbb{Q}$. Proc. Amer. Math. Soc. 150 (10): 4277-4285, (2022). 

[11] C. G. Karthick Babu, A. Sankaranarayanan, On an estimate of a certain non-linear exponential sum. Indian J Pure Appl Math 53, 1-9 (2022).

[12] C. G. Karthick Babu, Usha K. Sangale, Note on a problem of Ramanujan. Proc Math Sci 131, 19 (2021).

[13] C. G. Karthick Babu, Primes in Beatty sequence. Proc Math Sci 131, 14 (2021).  

 Preprints:

[1] Davenport constant and its variants for some nonabelian groups (Submitted).

Authors: C. G. Karthick Babu, Ranjan Bera, Mainak Ghosh, and B. Sury.

[2] Linear Congruences in several variables with congruence restrictions (Submitted).

Authors: C. G. Karthick Babu, Ranjan Bera and B. Sury.