Assistant Professor (OG), SRM IST, Vadapalani Campus, Chennai, 2014 onwards
Assistant Professor, St.Joseph’s College of Engineering & Technology, Thanjavur, from August 5, 2013 to July 19, 2014.
Visiting Faculty, Full-time UCE PKT Campus, Anna University, Thanjavur, from October 6, 2010 to June 25, 2013.
Lecturer, Shivani Institute of Technology, Trichy, June 2, 2010 to October 5, 2010.
Lecturer, AVVM SPC Poondi Thanjavur, July 26, 2006 to May 25, 2010.
Received “Certificate of Appreciation” for research work 2019.
S.Muthuvel, R. Venkatraman “An exponential Diophantine equation x^2 + 3^a 73^b = y^n” Journal of
Discrete Mathematical Sciences & Cryptography , Vol. 28 (2025), No. 6, pp. 2289–2296 ,September 2025.
K.Manikandan, R. Venkatraman “Exploring integral solutions for ternary Diophantine equations : A multi- technique approach” Journal of Discrete Mathematical Sciences & Cryptography , Vol. 28 (2025), No. 6, pp. 2279–2288 ,September 2025.
K.Manikandn R. Venkatraman “Exploring Diophantine Equations Involving Twin Primes: A Note on 3^x
+ p^y = z^2” Palestine Journal of Mathematics, Vol 14(Special Issue II)(2025) , 68–72,June 2025.
S. Muthuvel, R. Venkatraman “An Exponential Diophantine equation x^2 + 3^a89^b = y^n” Palestine
Journal of Mathematics, Vol 14(Special Issue II)(2025) , 62–67,June 2025.
R. Venkatraman, Malavika.N “ON THE EXPONENTIAL DIOPHANTINE EQUATION 5^x + 11^y =
z^2” Palestine Journal of Mathematics, Vol 14 ( Issue II-2025) , 59–61, June 2025.
S. Muthuvel, R. Venkatraman “An Exponential Diophantine Equation x^2+3^a97^b=y^n” International Journal of Mathematics and Computer Science, June 2024.
K..Manikandan R. Venkatraman “On the Exponential Diophantine Equation 8^x+161^y=z^2” International Journal of Mathematics and Computer Science, June 2024
Malavika N, R. Venkatraman “On the Exponential Diophantine Equation 3^x+121^y=z^2” International Journal of Mathematics and Computer Science, February 2024
K..Manikandan, R.Venkatraman “The Integral solutions of the Ternary diophantine equation 945(x^2+y^2)-1889xy+10(x+y)+100=pz^q” IAENG International Journal of Applied Mathematics, November 2023.
S.Muthuvel, R.Venkatraman “Homogeneous Quartic Equation (x+y)(x^3+y^3)=kw^2p^2” IAENG International Journal of Applied Mathematics, November 2023.
K. Manikandan, R. Venkatraman “The ternary cubic equation of the integral solutions 5(x^2+y^2) – 6xy + 4(x+y+1) = 6100 z^3” AIP conference proceedings 2852, 020003, August 2023.
S. Muthuvel, R. Venkatraman “Integral solutions of the quintic equation with five unknowns (x^3-y^3)-(x^2+y^2)+(z^3-w^3)=2+87T^5” AIP conference proceedings 2852, 020003, August 2023.
R. Venkatraman, R. Shanmugapriya, Solutions for a heptic equation in Z* with five unknowns: 4(X 3 -Y 3 )-4(X 2 +Y 2 )+Z 3 -W 3 =2+31p7”, AIP conference proceedings 2516, 260007, November 2022.
R. Venkatraman, P. Jayakumar, S. Thalapathiraj, and J. Ravikumar, “On Heptic Diophantine Equations with Three Unknowns: 21(x 2 + y 2 )- 41xy = 99z 7,” AIP Conference Proceedings, 2020.
R. Venkatraman and Dr. P. Jayakumar, “On Non-Homogeneous Biquadratic Diophantine Equation 3(x 2 +y 2)-5xy = 20z 4 ”, International Journal of Pure and Applied Mathematics, Vol. 114, No. 6, 185–192, 2017 (ISSN No. 1314-3395)
Dr. P. Jayakumar and R. Venkatraman, “On the Non-Homogeneous Quintic With Five Unknowns (x 2 -y 2 )(9x 2 +9Y 2 -16xy)=21(X 2 -Y 2 )Z 3 ”, International Journal of Science and Research, Vol 06, Issue 04, 2166-2168, April 2017. (ISSN No: 2319-7064)
Dr. P. Jayakumar and R. Venkatraman, “On Non-Homogeneous Biquadratic Diophantine Equation 7(x 2 +y 2)-13xy = 31z 4 ”, International Journal of Science and Research (IJSR), Vol. 05, Issue 11, Page 391-394, November 2016. (ISSN No.: 2319-7064)
Dr. P. Jayakumar and R. Venkatraman, “On Non-Homogeneous Biquadratic Diophantine Equation With 3 Unknowns 8(x 2 +y 2)-15xy = 40z 4 ”, International Journal for Scientific Research and Development (IJSRD), Vol. 04, Issue 09, Page 181–183 (ISSN No. 2321-0613)
R. Venkatraman and Dr. P. Jayakumar, “On the Non-Homogeneous Heptic Equation With Five Unknowns (x 2 -y 2 )( 5x 2 +5y 2 -8xy)=13(X 2 -Y 2 ) z3”, Global Journal of Pure and Applied Mathematics (GJPAM), Vol. 12 No. 2 361-363, 2016. (ISSN No. 0973-1768)
Dr. P. Jayakumar, V. Pandian, and R. Venkatraman, “On Non-Homogeneous Cubic Diophantine Equation 4x 2 +4y 2 -7xy = 19z 3 ”, International Journal of Science and Research (IJSR), Vol. 05, Issue 04, Page No. 1746-1749, April 2016. (ISSN No. 2319-7064)
Dr. P. Jayakumar, V. Pandian, and R. Venkatraman, “On Non-Homogeneous Biquadratic Diophantine Equation 4(x 2 +y 2)-7xy = 19z 4 ”, International Journal of Science and Research (IJSR), Vol. 05, Issue 04, Page 1750–1753, April 2016. (ISSN No. 2319-7064)
Dr. P. Jayakumar and R. Venkatraman, “Lattice Points On The Homogeneous Cone x 2 +y 2 =26z2”, International Journal of Science and Research (IJSR), Vol. 5, Issue 3, 1774–1776, March 2016. (ISSN No.: 2319-7064)
Dr. P. Jayakumar and R. Venkatraman, “On Homogeneous Biquadratic Diophantine Equation x 4 -y 4 =17(z 2 – w 2 )R 2 ”, International Journal of Research in Engineering and Technology (IJRET), Vol. 05, Issue 03, 502–505, March 2016. (ISSN No.: 2319-1163)
Dr. P. Jayakumar and R. Venkatraman, “On the Homogeneous Biquadratic Diophantine Equation With Five Unknowns x 4 -y 4 =65(z 2 -w 2 )R 2 ”, International Journal of Science and Research (IJSR), Vol. 05, Issue 03, 1863-1866, March 2016. (ISSN No.: 2319-7064)
Dr. P. Jayakumar and R. Venkatraman, “On the Homogeneous Biquadratic Diophantine Equation With Five Unknowns x 4 -y 4 =145(z 2 -w 2 )R 2 ”, Global Journal of Pure and Applied Mathematics (GJPAM), Vol. 12, No. 4, 132-135, January 2016. (ISSN No. 0973-1768)
Dr. P. Jayakumar and R. Venkatraman, “On the Ternary Quadratic Diophantine Equation x 2 –xy +y 2 =28z 2 ”, International Conference On Mathematical Methods and Computation-2015, Jamal Academic Research Journal (JARJ), Vol. 01, Issue 03, Page No. 328–330, January 2015. (ISSN No.: 0973-0303)
SRMIST Vadapalani
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