Publications

A copy of my Ph.D. Thesis can be found Here [PDF].

Publications

1. J. Meher, K.D. Shankhadhar and G.K. Viswanadham, A short note on sign changes, Proc. Indian Acad. Sci. (Math. Sci.) 123 (2013),  no.3, 315-320. [PDF]

2. R. Thangadurai, G.K. Viswanadham, On the prime k-tuple conjecture, Integers 14 (2014) A28. [PDF]

3. J. Mehta, G.K. Viswanadham, Quasi-Uniqueness of Gaussian prime plus one’s, Int. J. Number Theory 10 (2014), no. 7, 1783-1790. [PDF]

4. A. Mukhopadhyay, R. Thangadurai and G.K. Viswanadham, Unique representation of integers with base A, Arch. Math. 105 (2015), no. 2, 119-128. [PDF]

5. J. Mehta and G.K. Viswanadham, Set of uniqueness of shifted Gaussian primes, Funct. Approx. Comment. Math. 53 (2015), no.1, 123-133. [PDF]

6. J. Mehta, B. Saha and G.K. Viswanadham, Analytic properties of multiple zeta functions and certain weighted variants, an elementary approach, J. Number Theory 168 (2016), 487-508. [PDF]

7. J. Mehta and G.K. Viswanadham, Analytic continuation of multiple Hurwitz zeta functions, J. Math. Soc. Japan 69 (2017), no.4, 1431-1442. [PDF]

8. G.K. Viswanadham, On the q-exponents of generalized modular functions, The Ramanujan Journal 44 (2017), no.1, 1-11. [PDF]

9. J. Meher, K.D. Shankhadhar and G.K. Viswanadham, On the coefficients of symmetric power L-functions, Int. J. Number Theory, 14 (2018), no. 3, 813-824. [PDF]

10. A. Mukhopadhyay, O. Ramar\'e and G.K. Viswanadham, Discrepancy estimates for generalized polynomials, Monatsh. Math. 187 (2018), no. 2, 343-356. [PDF]

11.  G.K. Viswanadham, Products of weighted multiple zeta functions, Bull. Sci. Math.147 (2018), 26-39. [PDF]

12. B. Kumar and G.K. Viswanadham,  Angular changes of Fourier coefficients at primes, The Ramanujan Journal 49 (2019), no. 3, 641-651.

13. B. Kumar, J. mehta and G.K. Viswanadham, Some remarks on the Fourier coefficients of cusp forms, Int. J. Number Theory 16 (2020) no. 9, 1935-1943.

14. O. Ramare and GK Viswanadham, Modular ternary additive problems with irregular or prime numbers, Proc. Steklov. Inst. Math. 314 (2021), 203-237.

15. Dilip K. Sahoo and GK Viswanadham, An identity involving weighted and desingularized multiple zeta functions, Acta. Arith.202 (2022), no.2, 195-202.

16. Dilip K. Sahoo and GK Viswanadham, Functional equations for Mordell-Tornheim multiple zeta functions, Int. Journal of Number Theory 19 (2023), no. 5, 1021-1026.

17. P. Darbar, A. Mukhopadhyay and GK Viswanadham Bounded gaps between product of two primes in imaginary quadratic number fields, Res. in Num.Th. 9(2023). no. 1, paper no. 11, 23pp.  

18. Dilip. K. Sahoo and GK Viswanadham, Some Functional Relations of Desingularized Multiple Zeta Functions, Ramanujan Journal 62(2023), no.3, 843-851.

19. O. Ramare and GK Viswanadham, Exponential sums over primes with multiplicative coefficients, Math. Z. 304(2023), no.3, paper 50, 20pp.

20. CG Karthick Babu, A. Mukhopadhyay and GK Viswanadham, Discrepancy estimates of linear generalized polynomials at prime arguments, Ramanujan Journal 63(2024), no.2, 431-449.

21. CG Karthick Babu, E. Malavika, GK VIswanadham, Fractional parts of generalized polynomials at prime arguments, J. Math. Anal. Appl. 539 (2024), no.1, paper no. 128503.

                                                                                                                                 Preprints

1. P. Akhilesh, J. Mehta, B. Saha, K.S. Kumar, G.K. Viswanadham, Higher derivatives of multiple zeta functions at integer points of the domain of convergence, In preparation.

2. Dilip K. Sahoo and GK Viswanadham, Holomorphicity of desingularized multiple zeta functions, Submitted.