KSoM Publications : Accepted and Published
| Author(s) | Title of Publication | Journal Details | Link to the Paper | |
|---|---|---|---|---|
| A. K. Vijayarajan, Syamkrishnan M. S, Arunkumar C.S, Shabna A. M. | Extreme sates and boundary representations of operator spaces in ternary rings of operators | Journal of Algebra and Applications (To appear) | ||
| K. Chakraborty, S. Kenmitsu and A. Laurinčikas | Complex powers of L-functions and integers without large prime factors | Mediterranean Journal of Mathematics (To appear) | ||
| Kalyan Chakraborty and Krishnarjun Krishnamoorthy (Visiting Student) | On some symmetries of the base n expansion of 1/m : Comments on Artin’s Primitive root conjecture | Pacific Journal of Mathematics (To appear) | ||
| Chakraborty K., Hoque A. and Sharma R. | On the solutions of certain Lebesgue Ramanujan-Nagell equations | Rocky Mountain Journal of Mathematics (To appear). | ||
| Lalit Vaishya and Richa Sharma | A class of fruit Diophantine equations | Monatshefte für Mathematik(To Appear) | https://doi.org/10.1007/s00605-022-01672-7 | |
| Krishnarjun Krishnamoorthy (Visiting Student) | Generalized divisor problem for new forms of higher level | Czechcoslovak Mathematics Journal, 72, 259–263 (2022). | https://link.springer.com/article/10.21136/CMJ.2021.0451-20 | |
| Manickam, M., Murty, V.K., Sandeep, E.M. | Counting Hecke eigenforms with nonvanishing L-value | Bull. Aust. Math. Soc., published online, (2022), 1-20, | https://doi.org/10.1017/S0004972721000927 | |
| C. S. Arunkumar and A. K. Vijayarajan | On weak boundary representations and quasi hyperrigidity for operator systems | Journal of Analysis(Springer), 9 March 2022 | https://doi.org/10.1007/s41478-022-00405-1 | |
| Kalyan Chakraborty and Richa Sharma | On a family of elliptic curves of rank at least 2 | Czechoslovak Mathematical Journal (To appear) | https://doi.org/10.21136/CMJ.2022.0106-21 | |
| Chiranjit Ray and Kalyan Chakraborty | Certain eta-quotients and l-regular overpartitions | The Ramanujan Journal | https://doi.org/10.1007/s11139-020-00322-6 | |
| Rishabh Agnihotri and Kalyan Chakraborty | On the Fourier coefficients of certain Hilbert modular forms | The Ramanujan Journal | https://doi.org/10.1007/s11139-021-00401-2 | |
| C.S. Arunkumar | Local boundary representations of Locally C*-algebras | Journal of Mathematical Analysis and Applications, 515 (2), 2022 | https://doi.org/10.1016/j.jmaa.2022.126416 | |
| Manickam, M., Murty, V.K., Sandeep, E.M. | A weighted average of L-functions of modular forms. | C. R. Math. Rep. Acad. Sci. Canada, 43(2021), 63–77 | https://mr.math.ca/article/6858-2/ | |
| Shabna A. M., Vijayarajan A. K., Arunkumar C.S., Syamakrishnan M. S. | Extreme states on operator spaces in ternary rings of operators | Proc. Ind. Acad. Sci. (Math. Sci.) (2021)-131:44 | https://doi.org/10.1007/s12044-021-00639-2 | |
| A K Vijayarajan, C. S. Arunkumar, P. Shankar | Boundary representations and rectangular hyperrigidity | Banach Journal of Mathematics, 02 March 2021 | https://doi.org/10.1007/s43037-o21-00122-0 | |
| Pranav Haridas, Jaikrishnan Janardhanan | A note on the smoothness of the Minkowski function | Complex Var. Elliptic Equ. 66 (2021), no. 4, 541–545. | https://www.tandfonline.com/doi/abs/10.1080/17476933.2020.1727898?journalCode=gcov20 | |
| Akhilesh P | Multiple zeta values and multiple Apéry-like sums | J. Number Theory 226 (2021), 72–138. 11M32 | https://www.sciencedirect.com/science/article/abs/pii/S0022314X21000810?via%3Dihub | |
| Kalyan Chakraborty, Azizul Hoque and Srinivas Kotyada | On the Diophantine equation cx + p2m = 4yn | Results in Mathematics, 57 (2021) | https://link.springer.com/article/10.1007/s00025-021-01366-w | |
| Rishabh Agnihotri and Kalyan Chakraborty | Sign changes of certain arithmetical functions at prime powers | Czechoslovak Mathematical Journal | https://doi.org/10.13140/RG.2.2.13845.55528 | |
| Kalyan Chakraborty and Krishnarjun Krishnamoorthy (Visiting Student) | On Moments of non-normal number fields | Journal of Number Theory | https://doi.org/10.1016/j.jnt.2021.08.008 | |
| Agarwal, P., Shehata, A., Moustafa, S. and Chakraborty, K | On some recursion relations for Horn’s hypergeometric functions of three variables | Proc. Jangjeon Math. Soc. 24 (2021), no. 2, 231–247 | https://jangjeonopen.or.kr/public/upload/1619843945-pjms24-2-8.pdf | |
| Kalyan Chakraborty and Takao Komatsu | Generalized hypergeometric Bernoulli numbers | RACSAM 115(3) , July 2021 | https://doi.org/10.1007/s13398-021-01042-2 | |
| Richa Sharma and Sanjay Bhatter | On the rational solutions of y2 = x3 + k6n+3 | Notes on Number Theory and Discrete Mathematics, 27(3), 130–142, 2021. | https://nntdm.net/papers/nntdm-27/NNTDM-27-3-130-142.pdf | |
| A K Vijayarajan, P. Shankar | Hilbert modules characterization for weak hyperrigid operator systems | The Journal of Analysis(2020), January 2020 | https://doi.org/10.1007/s41478-020-00220-6 | |
| M. Manickam Karam Deo Shankhadhar | An Eichler–Zagier map for Jacobi cusp forms on H × C (g,1) |
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| Manickam, M., Sandeep, E.M. | On zeros of certain cusp forms of integral weight for full modular group. | Conference on Geometry, algebra, number theory, and their information technology applications, 267—271, Springer Proc. Math. Stat., 251, Springer, Cham,2018, | https://doi.org/10.1007/978-3-319-97379-1_12 | |
| Sreejith, M.M. | A Certain Kernel Function for L-Values of Half-Integral Weight Hecke Eigenforms. | Modular Forms and Related Topics in Number Theory. ICNT 2018. Springer Proceedings in Mathematics & Statistics, vol 340. Springer, Singapore. | https://doi.org/10.1007/978-981-15-8719-1_14 | |
| A K Vijayarajan, M. N. N. Namboodiri, S. Pramod, P. Shankar | Quasi hyperrigidity and weak peak points for non-commutative operator systems | Proc. Ind. Acad. Sci. (Math. Sci.) (2018), 128:66, 14pp | https://doi.org/10.1007/s12044-018-0430-3 | |
| A K Vijayarajan, P. Shankar | Tensor products of hyperrigid operator systems | Ann. Fnl. Anal, 9(2018), No. 3, pp: 369-375 | https://doi.org/10.1255/20088752-2107-0043 | |
| Murugesan Manickam, E. M. Sandeep | On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group | Springer Proceedings in Mathematics & Statistics book series, PROMS, 2018, Volume 251, Pages 267-271, Springer, Cham, 18 Sept 2018 | https://doi.org/10.1007/978-3-319-97379-1 | |
| M Manickam, Balesh Kumar | On new forms of half integral weight and Jacobi forms | Journal of Number Theory, Volume 193, December 2018, Pages 128-153 | https://www.sciencedirect.com/science/article/abs/pii/S0022314X18301458 | |
| A K Vijayarajan, S. Pramod and P. Shankar | Separating and quasi hyperrigid operator systems in C*-algebras | Tblisi Mathematical Journal, 10(4) (2017), pp-55-61 | https://doi.org/10.1515/tmj-2017-0045 | |
| A K Vijayarajan, P. Shankar | Hyperrigid operator systems and Hilbert modules | Ann. Fnl. Anal. 8 (2017), no. 1, pp: 133-141 | https://doi.org/10.1215/20088752-3773182 | |
| M Manickam, Balesh Kumar | On Dio-Naganama and Shimura liftings | The Ramanujan Journal of Mathematics (2017) | ||
| Jagatheson. T, M. Manickam | Theory of newforms for Eisenstein series of half-integral weight | International Journal of Number Theory. Vol.12 (2016), No. 3, 725-735 | https://www.worldscientific.com/doi/abs/10.1142/S1793042116500470 | |
| M Manickam, Balesh Kumar | On Dio-Naganuma lifting | Tsukuba J. Math, 40(2016), no. 2, 125-137 | https://doi.org/10.21099/tkbjm/1492104600 | |
| A K Vijayarajan, M.N.N. Namboodiri, S. Pramod | Cebysev Subspaces of C*-algebras-a Survey | Operator Theory: Advances and Applications, Vol. 247, 101-121 (2015) | https://doi.org/10.1007/978-3-319-18182-0_7 | |
| M Manickam, Jaban Meher, B Ramakrishnan | Theory of Newforms of half-integral weight | Pacific journal of Mathematics, 274 (2015), no. 1, 125-139 | https://msp.org/pjm/2015/274-1/p07.xhtml | |
| A K Viajayarajan, M.N.N. Namboodiri, S. Pramod | Finite Dimensional Cebysev Subspaces of C*-algebras | Journal of Ramanujan Mathematical Society, 29, No.1 (2014) 63-74 | http://www.mathjournals.org/jrms/2014-029-001/2014-029-001-004.pdf |
KSoM Publications : Preprints
| Author(s) | Title of Publication | Link to the Paper |
|---|---|---|
| A K Vijayarajan, M. S. Syamakrishnan | Bi-extremity of embeddings of operator spaces into their injective envelopes – Preprint | |
| N. -L. Wang, K. Chakraborty and S. Kanemitsu | Chowla’s problem and Maillet Demyanenko determinants. – Preprint | https://www.researchgate.net/publication/360670050_Chowla’s_problem_ and_Maillet-Demyanenko_determinants |
| Kalyan Chakraborty, Shubham Gupta and Azizul Hoque | Diophantine triples with the property D(n) for distinct n. – Preprint | https://arxiv.org/abs/2204.14208 |
| Kalyan Chakraborty and Krishnarjun Krishnamoorthy (Visiting Student) | On The Poles of Certain L Series – Preprint | |
| Kalyan Chakraborty and Krishnarjun Krishnamoorthy (Visiting Student) | On the zeta function associated to homogeneous polynomials – Preprint | |
| Richa Sharma | Integral solutions of certain Diophantine equation in quadratic fields. – Preprint | |
| Krishnarjun Krishnamoorthy (Visiting Student) | Weight aspect subconvexity and mass equidistribution for H/SL(2, Z) – Preprint |