Research Publications from KSoM
The Kerala School of Mathematics is actively engaged in producing high-quality research publications in various fields of mathematics. Below is a list of selected publications by faculty and researchers at KSoM. Each entry links directly to its listing in MathSciNet.
The space of multipliers between model spaces: complete or incomplete?
Bhardwaj, Arun Kumar
J. Math. Anal. Appl. 548 (2025), no. 1, Paper No. 129367, 10 pp.
J. Math. Anal. Appl. 548 (2025), no. 1, Paper No. 129367, 10 pp.
Generalized fruit diophantine equation and hyperelliptic curves
Prakash, Om; Chakraborty, Kalyan
Monatsh. Math. 203 (2024), no. 3, 667–676.
Monatsh. Math. 203 (2024), no. 3, 667–676.
Extreme states and boundary representations of operator spaces in ternary rings of operators
Shabna, A. M.; Vijayarajan, A. K.; Arunkumar, C. S.; Syamkrishnan, M. S.
J. Algebra Appl. 23 (2024), no. 5, Paper No. 2450100, 22 pp.
J. Algebra Appl. 23 (2024), no. 5, Paper No. 2450100, 22 pp.
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields
Chakraborty, Kalyan; Hoque, Azizul
Ramanujan J. 60 (2023), no. 4, 913–923.
Ramanujan J. 60 (2023), no. 4, 913–923.
Proper holomorphic mappings of quasi-balanced domains in $\textbf{C}^3$
Haridas, Pranav; Janardhanan, Jaikrishnan
Complex Anal. Synerg. 9 (2023), no. 2, Paper No. 7, 7 pp.
Complex Anal. Synerg. 9 (2023), no. 2, Paper No. 7, 7 pp.
On newforms and Saito-Kurokawa lifts
Adersh, V. K.; Manickam, M.; Sreejith, M. M.
J. Number Theory 248 (2023), 27–53.
J. Number Theory 248 (2023), 27–53.
Diophantine triples with the property $D(n)$ for distinct $n$'s
Chakraborty, Kalyan; Gupta, Shubham; Hoque, Azizul
Mediterr. J. Math. 20 (2023), no. 1, Paper No. 31, 13 pp.
Mediterr. J. Math. 20 (2023), no. 1, Paper No. 31, 13 pp.
On a conjecture of Franušić and Jadrijević: counter-examples
Chakraborty, Kalyan; Gupta, Shubham; Hoque, Azizul
Results Math. 78 (2023), no. 1, Paper No. 18, 14 pp.
Results Math. 78 (2023), no. 1, Paper No. 18, 14 pp.
Sign changes in restricted coefficients of Hilbert modular forms
Agnihotri, Rishabh; Chakraborty, Kalyan; Krishnamoorthy, Krishnarjun
Ramanujan J. 59 (2022), no. 4, 1225–1243.
Ramanujan J. 59 (2022), no. 4, 1225–1243.
A class of fruit Diophantine equations
Vaishya, Lalit; Sharma, Richa
Monatsh. Math. 199 (2022), no. 4, 899–907.
Monatsh. Math. 199 (2022), no. 4, 899–907.
A note on holomorphic generalized eta quotient
Agnihotri, R.; Vaishya, L.
Acta Math. Hungar. 167 (2022), no. 2, 393–403.
Acta Math. Hungar. 167 (2022), no. 2, 393–403.
Bi-extremity of embeddings of operator spaces into their injective envelopes
Syamkrishnan, M. S.; Vijayarajan, A. K.
Adv. Oper. Theory 7 (2022), no. 4, Paper No. 52, 18 pp.
Adv. Oper. Theory 7 (2022), no. 4, Paper No. 52, 18 pp.
On some symmetries of the base $n$ expansion of $1/m$: the class number connection
Chakraborty, Kalyan; Krishnamoorthy, Krishnarjun
Pacific J. Math. 319 (2022), no. 1, 39–53.
Pacific J. Math. 319 (2022), no. 1, 39–53.
On weak boundary representations and quasi hyperrigidity for operator systems
Arunkumar, C. S.; Vijayarajan, A. K.
J. Anal. 30 (2022), no. 3, 1219–1227.
J. Anal. 30 (2022), no. 3, 1219–1227.
On a family of elliptic curves of rank at least 2
Chakraborty, Kalyan; Sharma, Richa
Czechoslovak Math. J. 72(147) (2022), no. 3, 681–693.
Czechoslovak Math. J. 72(147) (2022), no. 3, 681–693.
Counting Hecke eigenforms with nonvanishing L-value
Manickam, M.; Murty, V. Kumar; Sandeep, E. M.
Bull. Aust. Math. Soc. 106 (2022), no. 1, 28–47.
Bull. Aust. Math. Soc. 106 (2022), no. 1, 28–47.
Local boundary representations of locally C$^*$-algebras
Arunkumar, C. S.
J. Math. Anal. Appl. 515 (2022), no. 2, Paper No. 126416, 14 pp.
J. Math. Anal. Appl. 515 (2022), no. 2, Paper No. 126416, 14 pp.
On moments of non-normal number fields
Chakraborty, Kalyan; Krishnamoorthy, Krishnarjun
J. Number Theory 238 (2022), 183–196.
J. Number Theory 238 (2022), 183–196.
On the Diophantine equation $dx^2+p^{2a}q^{2b}=4y^p$
Chakraborty, Kalyan; Hoque, Azizul
Results Math. 77 (2022), no. 1, Paper No. 18, 11 pp.
Results Math. 77 (2022), no. 1, Paper No. 18, 11 pp.
Boundary representations and hyperrigidity for spaces of operations
Arunkumar, C. S.
J. Int. Acad. Phys. Sci. 25 (2021), no. 4, 463–474.
J. Int. Acad. Phys. Sci. 25 (2021), no. 4, 463–474.
Sign changes of certain arithmetical function at prime powers
Agnihotri, Rishabh; Chakraborty, Kalyan
Czechoslovak Math. J. 71(146) (2021), no. 4, 1221–1228.
Czechoslovak Math. J. 71(146) (2021), no. 4, 1221–1228.
Extreme states on operator spaces in ternary rings of operators
Arunkumar, C. S.; Shabna, A. M.; Syamkrishnan, M. S.; Vijayarajan, A. K.
Proc. Indian Acad. Sci. Math. Sci. 131 (2021), no. 2, Paper No. 44, 14 pp.
Proc. Indian Acad. Sci. Math. Sci. 131 (2021), no. 2, Paper No. 44, 14 pp.
On the solutions of certain Lebesgue-Ramanujan-Nagell equations
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa
Rocky Mountain J. Math. 51 (2021), no. 2, 459–471.
Rocky Mountain J. Math. 51 (2021), no. 2, 459–471.
A note on the smoothness of the Minkowski function
Haridas, Pranav; Janardhanan, Jaikrishnan
Complex Var. Elliptic Equ. 66 (2021), no. 4, 541–545.
Complex Var. Elliptic Equ. 66 (2021), no. 4, 541–545.
A weighted average of L-functions of modular forms
Manickam, M.; Murty, V. Kumar; Sandeep, E. M.
C. R. Math. Acad. Sci. Soc. R. Can. 43 (2021), no. 2, 63–77.
C. R. Math. Acad. Sci. Soc. R. Can. 43 (2021), no. 2, 63–77.
Multiple zeta values and multiple Apéry-like sums
Akhilesh, P.
J. Number Theory 226 (2021), 72–138.
J. Number Theory 226 (2021), 72–138.
On the Diophantine equation $cx^2+p^{2m}=4y^n$
Chakraborty, K.; Hoque, A.; Srinivas, K.
Results Math. 76 (2021), no. 2, Paper No. 57, 12 pp.
Results Math. 76 (2021), no. 2, Paper No. 57, 12 pp.
Boundary representations and rectangular hyperrigidity
Arunkumar, C. S.; Shankar, P.; Vijayarajan, A. K.
Banach J. Math. Anal. 15 (2021), no. 2, Paper No. 38, 19 pp.
Banach J. Math. Anal. 15 (2021), no. 2, Paper No. 38, 19 pp.
On the first Fourier-Jacobi coefficient of Siegel modular forms of degree two
Manickam, M.
J. Number Theory 219 (2021), 404–411.
J. Number Theory 219 (2021), 404–411.
An analogue of Wilton's formula and values of Dedekind zeta functions
Banerjee, Soumyarup; Chakraborty, Kalyan; Hoque, Azizul
J. Math. Anal. Appl. 495 (2021), no. 1, Paper No. 124675, 20 pp.
J. Math. Anal. Appl. 495 (2021), no. 1, Paper No. 124675, 20 pp.
Distribution of generalized mex-related integer partitions
Chakraborty, Kalyan; Ray, Chiranjit
Hardy-Ramanujan J. 43 (2020), 122–128.
Hardy-Ramanujan J. 43 (2020), 122–128.
On normalisation of half-integral weight modular forms
Manickam, M.; Tamil Selvi, M. K.
South East Asian J. Math. Math. Sci. 16 (2020), no. 3, 119–125.
South East Asian J. Math. Math. Sci. 16 (2020), no. 3, 119–125.
Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa
Publ. Math. Debrecen 97 (2020), no. 3-4, 339–352.
Publ. Math. Debrecen 97 (2020), no. 3-4, 339–352.
Hilbert modules characterization for weak hyperrigid operator systems
Shankar, P.; Vijayarajan, A. K.
J. Anal. 28 (2020), no. 4, 905–912.
J. Anal. 28 (2020), no. 4, 905–912.
On Doi-Naganuma and Shimura liftings
Kumar, Balesh; Manickam, Murugesan
Ramanujan J. 48 (2019), no. 2, 279–303.
Ramanujan J. 48 (2019), no. 2, 279–303.
An Eichler-Zagier map for Jacobi cusp forms on $H \times C(g,1)$
Manickam, M.; Shankhadhar, Karam Deo
J. Number Theory 194 (2019), 319–334.
J. Number Theory 194 (2019), 319–334.
Quasi hyperrigidity and weak peak points for non-commutative operator systems
Namboodiri, M. N. N.; Pramod, S.; Shankar, P.; Vijayarajan, A. K.
Proc. Indian Acad. Sci. Math. Sci. 128 (2018), no. 5, Paper No. 66, 14 pp.
Proc. Indian Acad. Sci. Math. Sci. 128 (2018), no. 5, Paper No. 66, 14 pp.
On newforms of half-integral weight and Jacobi forms
Kumar, Balesh; Manickam, Murugesan
J. Number Theory 193 (2018), 128–153.
J. Number Theory 193 (2018), 128–153.