Department of Mathematics

Central University of Tamil Nadu

- V.P. Ramesh, M. Makeshwari, M. Prithvi and R. Thatchaayini,
, Modular Forms and Related Topics in Number Theory, Springer Proc. Math. Stat., (to appear)**Identities from Partition of the Symmetric group S_n** - V.P. Ramesh and Thatchaayini R.,
, Allahabad Mathematical Society, Indian Journal of Mathematics, Vol. 61, No. 2, 295-301, 2019.__Roof of φ(p−1)/3 generators of p are also generators of p^l for every l ≥ 2__ - V. P. Ramesh, Thangadurai R and Thatchaayini R,
, The American Mathematical Monthly, 126:3, 252-254, 2019.__A Note on Gauss's Theorem on Primitive Roots__ - V. P. Ramesh, Makeshwari M and Thatchaayini
R,
**Non-Wieferich primes and generators of p** - V.P. Ramesh, Prithvi M and Thatchaayini R,
, Neural, Parallel, and Scientific Computations, 24, 209-224, 2016.**Strongly Unequal Permutations of S_n and Sudoku**

- V.P. Ramesh and Gowtham R,
, The Ramanujan Mathematical Society (RMS): Mathematics Newsletter, Vol. 28, #4, 10-16, June-September 2017.**Asymptotic Notations and its Applications**

- V.P. Ramesh and Prithvi M,
, Differential Equations and Dynamical Systems, 2019.**The Generalized S-Mesh Based Hybrid Algorithm for Singularly Perturbed Problems With Interior Layer** - V.P. Ramesh and Priyanga B,
, Differential Equations and Dynamical Systems, 2019.**Higher order uniformly convergent numerical algorithm for time-dependent singularly perturbed differential-difference equations** - V.P. Ramesh, Kadalbajoo M K, Priyanga B and Prithvi M,
**An a Priori Harmonic Mesh for Singularly Perturbed Boundary Value Problems** - V.P. Ramesh and M.K. Kadalbajoo,
, Neural, Parallel, and Scientific Computations, 19, 2, 21-34, 2011.**Numerical Algorithm for singularly perturbed delay differential equations with layer and oscillatory behavior** - V.P. Ramesh and M.K. Kadalbajoo,
, Neural, Parallel & Scientific Computations, 17, 2, 101-122, 2009.**Parameter uniform numerical schemes for second order singularly perturbed differential difference equations with layer behavior** - V.P. Ramesh and M.K. Kadalbajoo,
, Applied Mathematics and Computation,202, 2, 453-471, 2008.**Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior** - M.K. Kadalbajoo and V.P. Ramesh,
**Hybrid method for numerical solution of singularly perturbed delay differential equations** - M.K. Kadalbajoo and V.P. Ramesh,
, Applied Mathematics and Computation, 188, 2, 1816-1831, 2007.**Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy**

- Ramesh V P, Priyanga B, Aarthika K, Divya D and Preethi S,
**Back propagation neural network based big data analytics for a stock market challenge** - V. P. Ramesh, B Priyanga, M Priyadharshini, R Sowmitha and YV Shiva Prakash,
, Sugyaan, 8(1), 13-30, ISSN:0975-4032, 2016.**Health Care Big Data Analytics - Predicting Diabetes**

**Various a priori estimates for boundary layers : comparison study,**Minisymposia: Robust Numerical Methods for Singular Perturbation Problems,*9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)*, Universitat de Valncia, Spain, 15th-19th July, 2019.**A new a priori estimation of layer region for singularly perturbed boundary value problems,***9th International Congress on Industrial and Applied Mathematics (ICIAM-2019)*, Universitat de Valncia, Spain, 15th-19th July, 2019.**A note on arithmetic functions on estimating the boundary layer,***4th International Conference on Recent Developments in Theory, Computation and Application of Differential Equations*, South Asian University, New Delhi, 21st-23rd January, 2019.**Counting the Sudoku Problems through a new notation,***International Conference on Algebra and Number Theory (CANT-2018)*, Central University of Tamil Nadu, Thiruvarur, 16th-17th December, 2018.**A lower bound for the number of generators of p^l for all l ≥ 1,***Conference on NumberTheory*, Kerala School of Mathematics, Kozhikode, 10th-14th December, 2018.**Harmonic function to estimate the boundary/interior layer,***International Conference on Mathematical Modelling and Computation*, South Asian University, New Delhi, 1st-3rd December, 2018.**A new layer resolving mesh,***84th Annual Conference of Indian Mathematical Society - An international meet*, Shri Mata Vaishno Devi Univeristy, Jammu, 27th-30th November, 2018.**A note on Normal Sequences in Finite Abelian Group,***The 33rd Annual Conference of The Ramanujan Mathematical Society*, University of Delhi, 1st-3rd June, 2018.**A recursive relation for the computation of generators of p,***International Conference on Non-linear Differential Equations:Theory, Modelling and Computations,*SRM University, 8th-9th December, 2017.**Modified S(l) mesh: a non-uniform mesh for singularly perturbed convection-diffusion problem,***International Conference on Current Trends in Theoretical and Computational Differential Equations with Applications*, South Asian University, New Delhi, 1st-5th December, 2017.**Mathematics to Analyse the limitations of Machines on Problem Solving: Sudoku and Complexity of Sudoku,***Combinatorics and Number Theory Meet*, Harish-Chandra Research Institute, Allahabad, 19th-23rd February, 2017.**Is P=NP? Permutations and its applications to Sudoku,***International Conference on Advances in Scientific Computing*, Indian Institute of Technology Madras, India, 28th-30th November, 2016.**Permutation and its applications to Sudoku: A new theory,***International Conference on Mathematical Modelling, Differential Equations, Scientific Computing & Applications*, Indian Institute of Technology Kanpur, 27th-29th March, 2016.**Health Care Big Data Analytics - Predicting Diabetes,***International Conference on Big Data Analytics - SAMAROH 2016*, Hyderabad, 11th-12th February, 2016.**Numerical algorithm for a model of neuronal variability,***6th International Congress on Industrial and Applied Mathematics (ICIAM-2007)*, Zurich, Switzerland, 16th-20th July, 2007.**Higher order finite difference methods for second order singularly perturbed delay dif- ferential equations,***SIAM (Society for Industrial and Applied Mathematics) conference on Computational Science and Engineering*, Costa Mesa, California, U.S.A., 19th-23rd February, 2007.**Higher order methods with suitable mesh for numerical solution of singularly perturbed delay differential equations,***14th International Conference of the Forum for Interdisciplinary Mathematics*, Indian Institute of Technology Madras, 6th-8th January, 2007.