Prof. Kalyan Chakraborty

• Kalyan Chakraborty, Shubham Gupta and Azizul Hoque, Diophantine $D(n)$-quadruples in $mathbb{Z}[sqrt{4k+2}]$, Glasnik Matematicki (to appear)
• Kalyan Chakraborty, and Azizul Hoque, On the plus parts of the class numbers of cyclotomic fields, Chinese Annals of Mathematics, Series B (to appear)
• Kalyan Chakraborty and Azizul Hoque, Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields, The Ramanujan Journal, 60 (2023), no. 4, 913--923.
• Kalyan Chakraborty, and Azizul Hoque, On the exponential Diophantine equation $x^2+p^mq^n=2y^p$, New Zealand Journal of Mathematics (to appear).
• Om Prakash and Kalyan Chakraborty, Generalized fruit diophantine equation and hyperelliptic curves, Volume 203, 667–676, (2024)
• Kalyan Chakraborty, Shubham Gupta and Azizul Hoque, Diophantine triples with the property $D(n)$ for distinct $n$'s, Mediterranean Journal of Mathematics, 20 (2023), no. 1, 13pp, article no. 31. arXiv: 2204.14208
• Kalyan Chakraborty, Shubham Gupta and Azizul Hoque, On a conjecture of Franuvsi'c and Jadrijevi'c: Counter-examples, Results in Mathematics, 78 (2023), no. 1, 14pp, article no. 18.
• Kalyan Chakraborty, and Azizul Hoque, On the Diophantine equation $dx^2+p^{2a}q^{2b}=4y^p$, Results in Mathematics, 77 (2022), no. 1, 11pp, article no. 18.
• Kalyan Chakraborty and Krishnarjun Krishnamoorthy, On some symmetries of the base n expansion of 1∕m : the class number connection, 319 (2022), No. 1, 39–53
• K. Chakraborty, S. Kenmitsu and A. Laurinčikas, Complex powers of L-functions and integers without large prime factors, Mediterr. J. Math. (2022) 19:167
• Kalyan Chakraborty, Richa Sharma, On a family of elliptic curves of rank at least 2, Czechoslovak Mathematical Journal 72 (2022), no. 3, 1-13.
• Rishabh Agnihotri, Kalyan Chakraborty and Krishnarjun Krishnamoorthy, Sign changes in restricted coefficients of Hilbert modular forms, 59, pages 1225–1243, (2022)
• Rishabh Agnihotri, Kalyan Chakraborty, On the Fourier coefficients of certain Hilbert modular forms, 58, pages 167–182, (2022)
• Chiranjit Ray and Kalyan Chakraborty, Certain eta-quotients and $$ell $$-regular overpartitions, 57, pages 453–470, (2022)
• Kalyan Chakraborty and Krishnarjun Krishnamoorthy, On Moments of non-normal number fields, Journal of number theory, 238 (2022), 183-196
• On the solutions of certain Lebesgue-Ramanujan-Nagell equations (with Kalyan Chakraborty, Richa Sharma), Rocky Mountain Journal of Mathematics, 51 (2021), no. 2, 459--471.
• On the Diophantine equation $cx^2+p^{2m}=4y^n$ (with Kalyan Chakraborty, Kotyada Srinivas), Results in Mathematics, 76 (2021), no. 2, 12pp, article no. 57. arXiv: 2102.07977
• An analogue of Wilton's formula and values of Dedekind zeta functions (with Soumyarup Banerjee, Kalyan Chakraborty), Journal of Mathematical Analysis and Applications, 495 (2021), no. 1, 20pp, 124675.arXiv:1611.08693
• Kalyan Chakraborty and Takao Komatsu, Generalized hypergeometric Bernoulli numbers, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115, article number 101, (2021)
• Rishabh Agnihotri, Kalyan Chakraborty, Sign changes of certain arithmetical function at prime powers, Czechoslovak Mathematical Journal 71(4):1221-1228
• On the structure of order 4 class groups of $mathbb{Q}(sqrt{n^2+1})$ (with Kalyan Chakraborty, Mohit Mishra), Annales Math'ematiques du Qu'ebec, 45 (2021), no. 1, 203--212. arxiv:1902.05250
• Exponents of class groups of certain imaginary quadratic fields (with Kalyan Chakraborty), Czechoslovak Mathematical Journal, 70 (2020), no. 4, 1167--1178. arXiv:1801.00392
• Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations (with Kalyan Chakraborty, Richa Sharma), Publicationes Mathematicae Debrecen, 97 (2020), no. 3-4, 339--352. arXiv:1812.11874
• A note on certain real quadratic fields with class number upto three (with Kalyan Chakraborty, Mohit Mishra), Kyushu Journal of Mathematics, 74 (2020), no. 1, 201--210.
• Mohit Mishra, Rishabh Agnihotri and Kalyan Chakraborty, Primary rank of the class group of real cyclotomic fields, Rocky Mountain J. Math. 50 (2020) (6): 2149-2155.
• Kalyan Chakraborty ; Chiranjit Ray, Distribution of generalized mex-related integer partitions, Hardy-Ramanujan Journal, 43, 2020, 122-128
• Divisibility of Selmer groups and class groups (with Kalyan Banerjee, Kalyan Chakraborty), Hardy-Ramanujan Journal, 42 (2019), 85--99. arXiv: 1912.02420
• Divisibility of class numbers of certain families of quadratic fields (with Kalyan Chakraborty), Journal of the Ramanujan Mathematical Society, 34 (2019), no. 3, 281--289.
• Banerjee, S. and Chakraborty, K. Asymptotic behaviour of a Lambert series á La Zagier: Maass case, Ramanujan J., Vol. 48 (2019), no. 3, 567–575.
• K. Chakraborty and A. Hoque, Class groups of imaginary quadratic fields of 3 - rank at least 2, Annales UMCS Mathematica Vol. 47(2018), 179–183.
• K. Chakraborty, S. Kanemitsu and T. Kuzumaki, Seeing the invisible: Kubert identities, Annales UMCS Vol 47 (2018), 185–195.
• K. Chakraborty, A. Juyal, S. D. Kumar and B. Maji, Asymptotic expansion of a Lambert series associated to cusp forms, Int. J. Number Theory , Vol.14 (2018), No. 1, 289–299. https://doi.org/10.1142/S1793042118500173
• K. Chakraborty, A. Hoque, Y. Kishi and P. P. Pandey, Divisibility of class numbers of imaginary quadratic fields, J. Number Theory, Vol. 185 (2018), pp. 339–348. DOI: 10.1016/j.jnt.2017.09.007.
• Chakraborty, K. and Hoque, A. Pell-type equations and class number of the maximal real subfield of a cyclotomic field, Ramanujan J (2018), DOI: 10.1007/s11139- 017-9963-9.
• K. Chakraborty, J. J. Urroz and Francesco Pappalardi, Pairs of integers which are mutually squares, Sci China Math, Vol. 60 (2017), 1633–1646.
• D. Banerjee, K. Chakraborty , S. Kanemitsu and B. Maji, Abel-Tauber process and asymptotic formulas, Kyushu J. Math. Vol. 71 (2017), Issue 2, pp. 363-385 DOI https://doi.org/10.2206/kyushujm.71.363
• K. Chakraborty, S. Kanemitsu and H. Tsukada, Ewald expansions of a class of zeta-functions, SpringerPlus, 2016, 5:99, DOI 10.1186/s40064-016-1732-5.
• K. Chakraborty and S. Kanemitsu and B. Maji, Modular type relations associated to the Rankin-Selberg L-functions, Ramanujan J. , Vol. 42 (2017), Issue 2, pp. 285–289. doi:10.1007/s11139-015-9759-8
• K. Chakraborty, I. Kátai and B. M. Phong, Additive functions on the greedy and lazy Fibonacci expansions, J. Integer Seq. 19 (2016), no. 4, 16.4.5, pp. 12 .
• K. Chakraborty, S. Kanemitsu and H. -L. Li, Quadratic reciprocity and Riemann’s non-differentiable function, Res. Number Theory No. 1(2015) 1:14, DOI 10.1007/s40993-015-5.
• K. Chakraborty and M. Minamide, On power moments of the Hecke multiplica- tive functions, J. Aust. Math. Soc., Vol. 99 (2015), 334–340. 2015), doi: 10.1017/S1446788715000063.
• T. Arai, K. Chakraborty and S. Kanemitsu, On Modular Relations, Number theory, Ser. Number Theory Appl., No. 11, World Sci. Publ., Hackensack, NJ, (2015), 1–64.
• Kalyan Chakraborty and Jay Mehta, Preventing unknown key-share attack using cryptographic bilinear maps, J. Discrete Math. Sci. and Crypt., Vol. 17 (2014), No. 2, 135–147.
• K. Chakraborty and M. Minamide, On partial sums of a spectral analogue of the Möbius function, Proc. Indian Acad. Sci. (Math. Sci.), Vol.123, No. 2 (2013), 193–201.
• K. Chakraborty, S. Kanemitsu and T. Kuzumaki, On The Class Number Formula of Certain Real Quadratic Fields, Hardy-Ramanujan J., Vol. 36 (2013), 1–7.
• K. Chakraborty, I. Kátai and B. M. Phong, On additive functions satisfying some relations, Ann. Univ. Sci. Budapest., Sect. Comput., Vol. 38 (2012), 1–12.
• K. Chakraborty, I. Kátai and B M Phong, On the values of arithmetic functions in short intervals, Ann. Univ. Sci. Budapest., Sect. Comput., Vol. 38 (2012), 13–21.
• K. Chakraborty, S. Kanemitsu and H. Tsukada, Arithmetical Fourier series and the modular relation, Kyushu J. Math., Vol. 66, No. 2 (2012), 411–427.
• K. Chakraborty, I. Kátai and B.M. Phong, On real valued additive functions modulo 1, Ann. Univ. Sci. Budapest., Sect. Comput., Vol. 36 (2012), 355–373.
• K. Chakraborty and J. Mehta, A stamped blind signature scheme based on elliptic curve discrete logarithm problem, International J. Network Security, Vol. 14, No. 6 (2012), 316–319.
• K. Chakraborty and J. Mehta, On completely multiplicative complex valued func- tions, Ann. Univ. Sci. Budapest, Sect. Comput., Vol. 38 (2012), 19–24.
• K. Chakraborty, S. Kanemitsu and X. -H. Wang, The modular relation and the digamma function, Kyushu J. Math., Vol. 65 (2011), No. 1, 39–53.
• K. Chakraborty, S. Kanemitsu and H.-L. Li On the value of a class of Dirichlet series at rational arguments, Proc. Amer. Math. Soc., Vol. 138 (2010), 1223–1230.
• K. Chakraborty, On the Chowla-Selberg integral formula for non-holomorphic Eisen- stein series, Integral Transforms and Special Functions, Vol. 21, No. 12, Dec. 2010, 917–923 (7)
• K. Chakraborty, F. Luca, Perfect powers in solutions to Pell equations, Revista Columbiana de Matematicas, Vol. 43 (2009), 71–86.
• K. Chakraborty, S. Kanemitsu and J. -H. Li Manifestations of the Parseval identity, Proc. Japan Acad., Vol. 85, Ser. A, 9 (2009), 149–154.
• K. Chakraborty, S. Kanemitsu and T. Kuzumaki, Finite expressions for higher derivatives of the Dirichlet L - function and the Deninger R - function, Hardy- Ramanujan J., Vol. 32 (2009) 38–53.
• K. Chakraborty, F. Luca, A. Mukhopadhyay, Exponents of class groups of real quadratic fields, Int. J. Number Theory, Vol.4 (2008), 1–15.
• K. Chakraborty, F. Luca and A. Mukhopadhyay, Real quadratic fields with class numbers having many distinct prime factors, J. Number Theory, Vol.128 (2008), No. 9, 2559–2572.
•  K. Chakraborty, On the Diophantine equation x + y + z = xyz = 1, Ann. Univ. Sci. Budapest. Sect. Comput., Vol. 27 (2007).
•  Kalyan Chakraborty and A. Mukhopadhyay, Exponents of class groups of real quadratic function fields (II), Proc. Amer. Math. Soc., Vol. 134 (2006), No. 1, 51–54
•  K. Chakraborty and Anirban Mukhopadhyay, Exponents of class groups of real quadratic function fields, Proc. Amer. Math. Soc., Vol. 132 (2004), No. 7, 1951–1955.
•  Kalyan Chakraborty, On the divisibility of class numbers of real quadratic Fields, RIMS Conference Proceedings, Kyoto Univ., (2004).
•  K. Chakraborty and M. Ram Murty, On the number of real quadratic fields with class number divisible by 3, Proc. Amer. Math. Soc., Vol. 131 (2003), No. 1, 41–44.
•  S. Baba, K. Chakraborty and Y. N. Petridis, On the number of Fourier coefficients that determine a Hilbert modular form, Proc. Amer. Math. Soc., Vol. 130 (2002), No. 9, 2497–2502.
•  K. Chakraborty and M. V. Kulkarni, Solutions of cubic equations in quadratic fields, Acta Arithmetica, Vol. LXXXIX.1 (1999) 37–43.
•  K. Chakraborty, A. K. Lal and B. Ramakrishnan, Modular forms which behave like theta series, Mathematics of Computation, Vol. 66 (1997), 1169–1183.
•  K. Chakraborty, B. Ramakrishnan and T. C. Vasudevan, A Note on Jacobi forms of Higher degree, Abh. Math. Sem. Univ. Hamburg, Vol. 65 (1995), 89–93.
•  K. Chakraborty and B. Ramakrishnan, A note on Hecke Eigen forms, Arch. Math., Vol. 63 (1994), 509–517.
•  S. D. Adhikari and K. Chakraborty, On the average behaviour of an arithmetical function, Arch. Math., Vol. 62 (1994), 411–417.

(B) Books/edited volumes

• 1. Kalyan Chakraborty, Azizul Hoque and Prem Prakash Pandey, Class groups of Number Fields and Related Topics, II , Springer, 2024. (to appear).
• 2. Sandeep Singh Chahal, Kalyan Chakraborty, Baljinder Kour and Sandeep Kaur, Topics in Algebra, Analysis and Topology, CRC press, 2024 (to appear).
• 3. Pradip Debnath, Hari Mohan Srivastava, Kalyan Chakraborty and Poom Kumam, Advances in Number Theory and Applied Analysis, World Scientific, 2022 (edited).
• 4. Kalyan Chakraborty, Azizul Hoque and Prem Prakash Pandey, Class groups of Number Fields and Related Topics, Springer, 2019. (Edited).
• 5. Kalyan Chakraborty, Shigeru Kanemitsu and Takako Kuzumaki, A Quick Introduc- tion to Complex Analysis, World Scientific, Singapore, 2016.
• 6. Kalyan Chakraborty, Shigeru Kanemitsu and Haruo Tsukada, Vistas of Special Functions II, World Scientific, Singapore, 2009.