Publications:

1.  C. G. Karthick Babu, Ranjan Bera, Mainak Ghosh, and B. Sury, Davenport constant and its variants for some nonabelian groups, Journal of Number Theory, (2026). (To appear)

2.  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).

3.  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).

4.  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).

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

6.  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.

7.  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). 

8.  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).

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

10.  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).

11.  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). 

12.  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).

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

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

 Preprints:

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

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

[2] Additive representations of integers by linear generalized monomials at primes (Submitted).

Authors: C. G. Karthick Babu and E. Malavika.