T SRINIVAS

@audisankara deemed to be university

ASSOCIATE PROFESSOR IN MATHEMATICS
Associate professor

T SRINIVAS


                     Download Compact PDF  
https://researchid.co/srinivasthiruchinapalli
Research Interest:
Focus on Diophantine equations, Pythagorean triples, cryptographic applications, elliptic curves, and embedded systems, Operations Research and evidenced (by google scholar, ResearchGate) 101+ publications (including SCOPUS, ESCI, EBASCO, PUBMED and UGC Care indexed papers). Also, holds one patent and authored a complete book and 5 chapters.

Research Highlights
algebraic structures on Pythagorean triples, Fibonacci-type sequences, Supply chain Management, Goal Programming and applications in Embedded systems cryptography and elliptic curve cryptography (ECC).

Notable Outputs & Professional Development:
Books like "Compact Mathematics for Undergraduates Part I: Formulas and Identities" (2025), Conference papers in Springer/AIP, and recent papers on Quadratic Diophantine equations for cryptographic hardware. Attended 50+ International conferences, National conferences 15+, NPTEL SWAYAM 3+, FDPs 10+, EDPs2+, and short-term course1+ under the Malaviya Mission. Also,

RESEARCH, TEACHING, or OTHER INTERESTS

Multidisciplinary, Statistics, Probability and Uncertainty, Engineering, Algebra and Number Theory
9

Scopus Publications

320

Scholar Citations

11

Scholar h-index

13

Scholar i10-index

Scopus Publications

  • A STUDY OF k-GONAL NUMBERS
    Palestine Journal of Mathematics, 2025
  • A New Approach to Determine Constant Coefficients in Higher Order Linear Recurrence Relations and Repeated Steps of their Residues with mth Integer modulo Of Some Fibonacci Type Numbers
    Srinivas Thiruchinapalli, Sridevi Katterapalle
    Aip Conference Proceedings, 2024
    This paper focused on a study to generate the sequence of Fibonacci Type Numbers using third and higher Order Linear Recurrence Relations. Also, evaluated the Constant Coefficients of their higher Order Linear Recurrence Relations. In particularly evaluated the Non degenerated values of c1,c2,c3,….cn of some Fibonacci Type numbers of rth order of linear recurrence relation Fn = c1Fn-1 + +c2Fn-2 + c3Fn-3 + c4Fn-4+ ….....crFn-r, for n≥r,r ≥ 2. Also, it was focused to study repeated steps of their residues with some integer modulo 'm'.
  • Construction of Pythagorean and Reciprocal Pythagorean n-tuples
    Srinivas Thiruchinapalli, C. Ashok Kumar
    Springer Proceedings in Mathematics and Statistics, 2024
  • Cryptographic Coding of Some Fibonacci Type Numbers to Determine Repeated Steps of Their Residues
    T. Srinivas, K. Sridevi
    Trends in Mathematics, 2024
  • Cryptographic coding to define Binary Operation on Set of Pythagorean triples
    SRIDEVI K, Srinivas Thiruchinapalli
    Materials Today Proceedings, 2023
  • Transcendental representation of Diophantine equation and some of its inherent properties
    K Sridevi, Thiruchinapalli Srinivas
    Materials Today Proceedings, 2023
    We know that Diophantine equations are polynomial equations with integer coefficients and they are having integer solutions. In this paper we are revisits one of the Diophantine Equation xn + yn=znin different perspective, to study some of its inherent properties. In this paper we are proven transcendental representation of above Diophantine equations is zyn2=1+2x2-1. By substituting n = 2, the quadratic Diophantine equation is satisfies Pythagorean theorem, which is having transcendental representation zy=1+2x2-1. Also we are finding all primitive and non primitive Pythagorean triples by choosing of x value from following four disjoint Sets (whose union is becomes to Set of all positive integers). A = x,y,z:zy=1+2x2-1ifxisoddprimenumberoritspowersB = x,y,z:zy=1+2x2p-122-1ifxisoddcompositeanditspowers,forsomep=1,2,3..C = x,y,z:zy=1+2x22-1ifxisgeometricpowerof2 D=x,y,z:zy=1+2x2p22-1ifxisevencompositebutnotgeometricpowerof2,forsomep=1,2,3⋯. And with using of programming coding of ‘c’ language for above transcendental representation of Diophantine equation,we are proven Fermat’s Last Theorem for n > 2.
  • Existence of inner addition and inner multiplication on Set of Triangular numbers and some inherent properties of Triangular numbers
    Sridevi K, Srinivas Thiruchinapalli
    Materials Today Proceedings, 2023
    The set Ptof real parameters for a fuzzy number belonging to a general family of all important parameters are calculated such that a triangular fuzzy number with the same value of the parameter exists for every specified flozzy number. We suggest a method for computing a triangular fuzzy number closest to p/Pt, and review the identity features, scale and translation invariance, additivity and consistency of the approximation operator obtained. Examples of recent findings in this topic and implementation of a flush-number retaining the value for the near triangular approximation. In this paper, we are revisits the topic of TRIANGULAR NUMBERS with new perspective direction to generate them to all integers and proved some of their inherent properties. Also we are defined two types of binary operations inner addition and inner multiplication are satisfied by triangular numbers, which are represented in below. According these binary operations, we are proven is almost Semi Ring under inner addition and inner multiplication. Also we are finding the relation between Triangular numbers with Pascal triangles. And we are proven some of their Inherent Properties.
  • A New Approach to Define Length of Pythagorean Triples and Geometric Series Representation of Set of Pythagorean Triples
    Thiruchinapalli Srinivas, K Sridevi
    Journal of Physics Conference Series, 2022
    The solutions to the quadratic Diophantine equation x 2 + y 2 = z 2 are given by Pythagorean Theorem. In this paper, we are revisits well known problem in Number Theory, Set of Pythagorean Triples P = {( x, y, z ) ∈ Z 3:x 2 + y 2 = z 2 } in different perspective, to define Length of Pythagorean primitive triples and Length of Non primitive triples. Also focused to study Geometric Series representation of Set of Pythagorean triples and its relation with above Length of Pythagorean triples.
  • A new approach to define a new integer sequences of Fibonacci type numbers with using of third order linear Recurrence relations
    Thiruchinapalli Srinivas, Katterapalle Sridevi
    Aip Conference Proceedings, 2022
    In this paper, we are introduced to study a new sequence of special numbers of Fibonacci Type, named as “Katyayini” and its corresponding linear Recurrence relation of Order Three. Also focused to study this new sequence of Katyayini Numbers are related with Other Fibonacci Type numbers like Lucas, Pell , Jacobistal numbers , Pell-Lucas numbers, Jacobistal-Lucas numbers and Narayana Numbers with using of Third Order Linear Recurrence Relations by taking same Initial conditions of their Second Order Linear Recurrence relation. Also proposed cryptographic coding to generate above sequences of numbers with using of their Recursive formulas .

RECENT SCHOLAR PUBLICATIONS

  • Transcendental Pythagorean Cryptography: Symmetric Key Generation via Diophantine Triples and Algebraic Structures
    DT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
    Citations: 2
  • A Study of Quadratic Forms for One of the High Dimensional Diophantine Equation α(〖p_1〗^3+〖q_1〗^3+〖r_1〗^3 )(X^m+Y^m )(21U^2+V^2 )=T^2 (C^2-D^2 )(Z^2-W^2 ) P^β With α …
    DT srinivas
    INTERNATIONAL JOURNAL OF ADVANCED SCIENTIFIC AND TECHNICAL RESEARCH 16 (1), 13 , 2026
    2026
  • Quadratic and Quintic Forms for RNS HCC and Arithmetic Unit Optimization of Special High Dimensional Diophantine Equation α(〖p_1〗^3+〖q_1〗^3+〖r_1〗^3 )(X^m+Y^m )(5U^2+V^2 …
    DRT SRINIVAS
    INTERNATIONAL JOURNAL OF EMERGING TRENDS IN ENGINEERING AND DEVELOPMENT … , 2026
    2026
  • A Study on Quadratic and Quintic Diophantine Equation in Embedded Cryptographic Coprocessors
    DT SRINIVAS
    INTERNATIONAL JOURNAL OF COMPUTER APPLICATION 1 (16), 12 , 2026
    2026
  • INTEGER DESIGN OF SOLUTIONS OF ONE OF THE DIOPHANTINE EQUATIONS α(X^4+Y^4 )(P^2+Q^2+R^2+S^2 ) =(T^2+U^2 )(a^3+b^3+c^3 )(C^2-D^2 )(Z^2-W^2 ) P^β WITH X<Y<W<Z and P is ODD, α>0,β>0
    DT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • DEVELOPING ROBUST ELLIPTIC CURVES VIA HIGHER-DEGREE DIOPHANTINE SOLUTIONS AND LUCAS SEQUENCES
    DRT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • AN ALGEBRAIC STRUCTURE ON THE SET OF SOLUTIONS OF A DIOPHANTINE EQUATION OF THE FORM KX^2+Y^2=Z^2: REALIZING SOLUTION SETS AS ABELIAN GROUPS VIA TRANSLATION LIKE OPERATIONS
    DT Srinivas
    INTERNATIONAL JOURNAL OF RESEARCH IN ENGINEERING & SCIENCE (IJRES) 16 (3 … , 2026
    2026
  • ALGEBRAIC STRUCTURE OF DIOPHANTINE EQUATION OF THE FORM KX^2+Y^2=Z^2 AND THEIR MAPPINGS INTO QUADRATIC PYTHAGOREAN EQUATION P^2+Q^2=R^2
    DT SRINIVAS
    INTERNATIONAL JOURNAL OF ADVANCED SCIENTIFIC AND TECHNICAL RESEARCH 16 (3 … , 2026
    2026
  • Integer Design of Exponential Solutions of One of the Complex Stoichiometric Reaction Systems
    T SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • A Study on Integer Design of Exponential Solutions of Diophantine Equation (X^4+Y^4 )^β ((2P_n P_(n+1) )^2+(P_(n+1)^2-〖 P〗_n^2 )^2 )= 〖C(P_(n+1)^2+P_n^2 )〗^2 (Z^2-W^2 ) α^β …
    DT SRINIVAS
    INTERNATIONAL JOURNAL OF ADVANCED SCIENTIFIC AND TECHNICAL RESEARCH 16 (2 … , 2026
    2026
  • A Study on Integer Design of Exponential Solutions of Diophantine Equation (X^4+Y^4 )^β (2F_(n+1) (F_n+F_(n+1) ))^2+(F_n (2F_(n+1)+F_n ))^2=C(F_(n+1)^2+(F_n+F_(n+1) )^2 )^2 (Z …
    DT SRINIVAS
    IJARSET 13 (4), 17 , 2026
    2026
  • A Strategic Analysis of Resource Allocation and Distribution Efficiency in Kerala’s Coconut Supply Chain
    DT SRINIVAS
    American Journal of Sustainable Cities and Societ 16 (2), 20/1-20/19 , 2026
    2026
  • A Comprehensive Study on the Generation of Pythagorean and Reciprocal Pythagorean Triples
    DT SRINIVAS
    INTERNATIONAL JOURNAL OF COMPUTER APPLICATION (IJCA) 16 (2), 15/1-15/32 , 2026
    2026
  • ArcGIS-Based Flood Frequency and Vulnerability Mapping for Godavari Basin Flood Control
    BH 1. Dr T. SRINIVAS*, G. HARI KRISHNA2
    AMERICAN JOURNAL OF SUSTAINABLE CITY AND SOCIETY (AJSCS) 16 (2), 17/1-17/6 , 2026
    2026
  • A Collection of Special Diophantine Ellipse and Pythagorean Equations with Integer Solutions
    DT srinivas
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • INTEGER DESIGN OF EXPONENTIAL SOLUTIONS OF ONE OF THE COMPLEX STOICHIOMETRIC REACTION SYSTEMS α(p^3+q^3+r^3 ) (X^4+Y^4 )^2(21U^2+V^2 )=T^2 (C^2+D^2 )(Z^2-W^2 ) s^β WITH α>0,β=1 …
    DT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • A STUDY ON INTEGER DESIGN OF SOLUTIONS OF DIOPHANTINE EQUATION α(p^3+q^3+r^3 )(X^4+Y^4 )(γU^2+V^2 )=T^2 (C^2-D^2 )(Z^2-W^2 ) S^β WITH α>0,β>0,γ=2,3 and X<Y<W<Z
    DT srinivas
    International Journal of Computer Application 1 (16), 11-21 , 2026
    2026
  • Parametric Construction via Pythagorean Triplets of Higher Order Diophantine Equations
    DR TSRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • Number-Theoretic Pillars in Cryptography: Primes, Moduli, and N-Base Encoding
    DT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026
  • The novel transcendental approach to some inherent properties of quadratic Diophantine equation
    DT SRINIVAS
    International Journal of Advanced Research in Science, Engineering and … , 2026
    2026

MOST CITED SCHOLAR PUBLICATIONS

  • Transcendental representation of Diophantine equation and some of its inherent properties
    K Sridevi, T Srinivas
    Materials Today: Proceedings 80, 1822-1825 , 2023
    2023
    Citations: 27
  • A new approach to define a new integer sequences of Fibonacci type numbers with using of third order linear Recurrence relations
    T Srinivas, K Sridevi
    AIP Conference Proceedings 2385 (1), 130005 , 2022
    2022
    Citations: 25
  • A new approach to define two types of binary operations on set of Pythagorean triples to form as at most commutative cyclic semi group
    K Sridevi, T Srinivas
    Journal of Critical Reviews 7 (19), 9871-9878 , 2020
    2020
    Citations: 23
  • Existence of inner addition and inner multiplication on Set of Triangular numbers and some inherent properties of Triangular numbers
    K Sridevi, T Srinivas
    Materials Today: Proceedings 80 (3), 1760-1764 , 2023
    2023
    Citations: 21
  • Cryptographic Coding to Define Binary Operation on Set of Pythagorean Triples
    ST sridevi K
    Materials Today: Proceedings 80 (3), 2027-2031 , 2023
    2023
    Citations: 20
  • A New Approach to Define Algebraic Structure and Some Homomorphism Functions on Set of Pythagorean Triples and Set of Reciprocal Pythagorean Triples
    K Sridevi, T Srinivas
    Journal of Scientific Research of The Banaras Hindu University , 2021
    2021
    Citations: 17
  • Additive And Multiplicative Operations On Set Of Polygonal Numbers, QEIOS
    DT SRINIVAS
    2024
    Citations: 16
  • Some Inherent Properties of Pythagorean Triples
    T Srinivas
    Research Highlights in Mathematics and Computer Science Vol. 7 7, 156-169 , 2023
    2023
    Citations: 16
  • An Enumerative And Analytical Study Of The Sustainable Energy In An Economic Perspectives
    T Srinivas, CA Kumar, K Neeraja
    International Journal of Business and Management Research 12 (2), 44-49 , 2024
    2024
    Citations: 15
  • A new approach to determine constant coefficients in higher order linear recurrence relations and repeated steps of their residues with m th integer modulo of some …
    S Thiruchinapalli, S Katterapalle
    AIP Conference Proceedings 2986 (1), 030177 , 2024
    2024
    Citations: 15
  • Construction of Pythagorean and Reciprocal Pythagorean n-tuples
    S Thiruchinapalli, C Ashok Kumar
    XVIII International Conference on Data Science and Intelligent Analysis of … , 2023
    2023
    Citations: 15
  • A Study on Integer Design of Exponential Solutions of Diophantine Equations 𝜶 (𝑿𝟒+ 𝒀𝟒) 𝟐=(𝑪𝟐+ 𝑫𝟐)(𝒁𝟐-𝑾𝟐) 𝟐𝑷𝜷 With 𝜶> 𝟎, 𝜷= 𝟏, 𝟐, 𝟑, 𝟒, 5, 6, 7 and 𝒙< 𝒚< 𝒘< 𝒛
    T Srinivas
    International Journal of Advanced Research in Science, Engineering and … , 2025
    2025
    Citations: 11
  • A Study On Integer Design Of Exponential Solutions Of Diophantine Equation (X^ 4-Y^ 4)^ Β (P^ 2+ Q^ 2+ R^ 2+ S^ 2)= C (T^ 2+ U^ 2)(Z^ 2-W^ 2) Α^ Β With Α> 0, Β> 1, P Is Odd And …
    D T SRINIVAS
    INTERNATIONAL JOURNAL OF ADVANCED SCIENTIFIC AND TECHNICAL RESEARCH (IJASTR … , 2025
    2025
    Citations: 10
  • A Study On Integer Design Of Solutions Of Diophantine Equation (+)(+)=(+)(−) With>,=,<<<, 2025 IJCRT|
    T Srinivas
    Issue 11, 2320-28 , 2025
    2025
    Citations: 9
  • Algebraic structure of reciprocal Pythagorean triples
    K Sridevi, T Srinivas
    Advances and Applications in Mathematical Sciences (AAMS), Mili Publication … , 2022
    2022
    Citations: 8
  • Transportation and its health implications in India
    T Srinivas
    Int. J. Eng. Res. Dev 10 (7), 67-73 , 2014
    2014
    Citations: 8
  • Proof of Fermat’s last theorem by choosing two unknowns in the integer solution are prime exponents
    MT SRINIVAS
    Pacific International Journal 3 (4), 147-151 , 2020
    2020
    Citations: 6
  • Solving For Stoichiometric Coefficients Of Chemical Diophantine Equation(+)(5+)=(+)(-) With>,=,<<<, 2025 IJCRT|
    T Srinivas, G Sujatha
    Issue 11, 2320-28 , 2025
    2025
    Citations: 5
  • Using the Altman Z-Score Model to Forecast the Financial Distress of a Subset of NIFTY 50 Companies in the Indian Stock Market
    T Srinivas
    Qeios , 2023
    2023
    Citations: 5
  • A new approach to define cryptographic coding on binary operations on set of Pythagorean triples
    K Sridevi, T Srinivas
    Mater. Today Proc.(Scopus), Elsevier , 2021
    2021
    Citations: 5