**Research Area/ Research Interest: Number Theory**

**Research Paper Topics ideas for** Masters and Ph.D. Thesis and publication

- Transcendental number theory
- Analytical number theory: A topological approach
- Entropy and Its Application to Number Theory
- Geometric Number Theory
- Non-dense orbits on homogeneous spaces and applications to geometry and number theory
- Number theory
- Beyond Knuth’s notation for unimaginable numbers within computational number theory
- Number Theory and Dynamical Systems (Preliminary Notes)
- Watermarking of Digital Image Based on Complex Number Theory
- On a communication complexity problem in combinatorial number theory
- Study of Hazards in Underground Mining: Using Fuzzy Cognitive Map and Z-Number Theory for Prioritizing of effective Factors on Occupational Hazards in …
- Conjecture: 100% of elliptic surfaces over Q have rank zero
- Periods of t-modules as special values
- t-Aspect subconvexity for GL (2)× GL (2) L-function
- The even parity Goldfeld conjecture: Congruent number elliptic curves
- Fragile watermarking scheme in spatial domain based on prime number distribution theory
- Efforts to Stop Prosecutions Based on the Regulation of the Prosecutors of the Republic of Indonesia Number 15 of 2020 Perspective of the Theory of Dignity Justice
- Five open problems in quantum information theory
- On explicit estimates for S (t), S1 (t), and ζ (1/2+ it) under the Riemann hypothesis
- Classifying families of orthogonal polynomials having Galois group the alternating group
- A reduction algorithm for Hilbert modular groups
- MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms
- Alon–Tarsi numbers of direct products
- NNLO positivity bounds on chiral perturbation theory for a general number of flavours
- On shuffle-type functional relations of desingularized multiple zeta-functions
- Algebraic independence of the Carlitz period and its hyperderivatives
- Counting zeros of the Riemann zeta function
- Equivariant special L-values of abelian t-modules
- Higher genus theory
- On the number of zeros of diagonal quartic forms over finite fields
- Sequences with almost Poissonian pair correlations
- Non-commutative analytic subgroup theorem
- The local Gan-Gross-Prasad conjecture for U (n+ 1)× U (n): A non-generic case
- Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields
- Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices
- On Drinfeld modular forms of higher rank IV: Modular forms with level
- Class numbers of real quadratic fields
- On some applications of GCD sums to Arithmetic Combinatorics
- Real quadratic fields admitting universal lattices of rank 7
- Fundamental Theory
- More exact values of the function Γ⁎(k)
- Rogers’ mean value theorem for S-arithmetic Siegel transforms and applications to the geometry of numbers
- A consequence of the relative Bogomolov conjecture
- Explicit lower bounds on| L (1, χ)|
- Euler: The master of us all
- Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer
- On seven conjectures of Kedlaya and Medvedovsky
- Frobenius–Perron theory of representations of quivers
- Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions
- Pairing pythagorean pairs
- p-adic heights and Vologodsky integration
- Proof of the Bessenrodt–Ono Inequality by Induction
- On an extension of the Landau-Gonek formula
- On twisted A-harmonic sums and Carlitz finite zeta values
- p-adic Differential Equations
- A t-motivic interpretation of shuffle relations for multizeta values
- Fourier analysis
- Rikuna’s generic cyclic polynomial and the monogenity
- On the compactification of the Drinfeld modular curve of level Γ1Δ (n)
- Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo , , and
- Some properties of the Catalan numbers
- A crank-based approach to the theory of 3-core partitions
- Supercongruences concerning truncated hypergeometric series
- Counting bounded elements of a number field
- Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms
- Diophantine triples and K3 surfaces
- O-minimal invariants for discrete-time dynamical systems
- Elliptic curves over the rational numbers with semi-abelian reduction and two-division points
- Fitting ideals of class groups in Carlitz–Hayes cyclotomic extensions
- Notes on isocrystals
- Effective arguments in unipotent dynamics
- On multi-poly-Bernoulli–Carlitz numbers
- Tensor powers of rank 1 Drinfeld modules and periods
- Tilted corners in integer grids
- Spectrum of a linear differential equation over a field of formal power series
- Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
- Arithmetic intersections of modular geodesics
- Functional equation and zeros on the critical line of the quadrilateral zeta function
- Some q-supercongruences from the Bailey transformation
- Variétés abéliennes CM et grosse monodromie finie sauvage
- Theta correspondence for almost unramified representations of unitary groups
- How far is an extension of p-adic fields from having a normal integral basis?
- An effective version of Belyĭ’s theorem in positive characteristic
- On Drinfeld modular forms of higher rank II
- On superspecial abelian surfaces over finite fields III
- Integrality, duality and finiteness in combinatoric topological strings
- Unique sums and differences in finite Abelian groups
- On the clique number of Paley graphs of prime power order
- A finiteness result for p-adic families of Bianchi modular forms
- Model theory of adeles I
- Algebraic geometry and commutative algebra
- Category of C-motives over finite fields
- A reliability analysis method of dynamic irregularity for track–viaduct system with low stiffness
- Twist-minimal trace formula for holomorphic cusp forms
- Discrete maximal operators over surfaces of higher codimension
- Topological models for stable motivic invariants of regular number rings
- A lower bound on the number of inequivalent APN functions
- Neutrinoless Double-Beta Decay: A Roadmap for Matching Theory to Experiment
- DSRP Theory: A Primer
- Introduction to the theory of differential inclusions
- Capitulation abélienne des groupes de classes de rayons
- Probabilistic uncertain linguistic EDAS method based on prospect theory for multiple attribute group decision-making and its application to green finance
- Paramodular forms coming from elliptic curves
- Metric theory of Weyl sums
- On the extension of the theory of Umweganregung with respect to the use of divergent white X-ray radiation
- Machine-learning the Sato–Tate conjecture
- On the Theory of Free Carrier Electro-Magneto-Optical Phenomena
- On the bounds of the perimeter of an ellipse
- Convergence to the Plancherel measure of Hecke Eigenvalues
- On the theory of electrical domains in hot electron semiconductors
- Testing real quantum theory in an optical quantum network
- No-go theorems for quantum resource purification: New approach and channel theory
- Infinite Sperner’s theorem
- The Theory of the Use of Cloud Technologies in the Implementation of Hierarchical Preparation of Engineers
- A Course in Stochastic Game Theory
- Theory of Light Emission by Impurity Centres from Non-Equilibrium Vibrational States
- The Analog of Lehmer Problem on Abelian Varieties with Complex Multiplication
- On the theory of the MIS high-frequency capacitance. The effect of degeneration and non-parabolicity
- The Choice of Non-Equilibrium Statistical Operator Parameters and the Cross-Relaxation Theory
- Triangles and triple products of Laplace eigenfunctions
- Resampling and Network Theory
- Some q-supercongruences from a quadratic transformation by Rahman
- A vortex–wave interaction theory describing the effect of boundary forcing on shear flows
- POLYNOMIAL METHODS AND INCIDENCE THEORY.
- On Elkies’ method for bounding the transitivity degree of Galois groups
- Mock modularity and surface defects in topological super Yang-Mills theory
- l-class groups of fields in Kummer towers
- Maxima of log-correlated fields: some recent developments
- The 4D Einstein-Gauss-Bonnet theory of gravity: a review
- An Innovation and Entrepreneurship Management System for Universities Based on Cluster Analysis Theory
- Recurrence relations of poly-Cauchy numbers by the r-Stirling transform
- Frames over finite fields: Basic theory and equiangular lines in unitary geometry
- Necessary and sufficient conditions for a difference defined by four derivatives of a function containing trigamma function to be completely monotonic
- On the ergodic Waring–Goldbach problem
- Employing Typicality in Optimal Control Theory
- Gallai-Ramsey number of even cycles with chords
- Discussion of the heat flux rectification in the solid-solid system in the acoustic-mismatch theory framework
- 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
- Hermite-Pad\'{e} approximation and integrability
- Graph theory methods: applications in brain networks
- A new extension for local composition model–From theory to Equation of State
- Comparing Crowdfunding Theory and Practice: The Case of Technology Firms in England
- RELATIVISTIC SCATTERING THEORY
- Differential and Integral Calculus for Fuzzy Number-Valued Functions with Interactivity
- Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and 𝑝
- Coefficient bounds for a new family of bi-univalent functions associated with -Lucas polynomials
- Forecasting: theory and practice
- Constructive theory of ordinals
- Varieties of mathematical understanding
- Brane Physics Solutions for M-Theory
- Statistical Inference: Theory of Estimation
- Archive theory
- Rough statistical convergence for difference sequences
- Exact learning and test theory
- Estimating power for clinical trials with Patient Reported Outcomes-using Item Response Theory
- Nonlocal vibration of functionally graded nanoplates using a layerwise theory
- Adopting the Joint Line Theory for Bone Resection in Cruciate‐Retaining Total Knee Arthroplasty to Prevent Flexion Gap Tightness
- Theory-oriented screening and discovery of advanced energy transformation materials in electrocatalysis
- Theory of Critical Distances and static/dynamic fracture behaviour of un-reinforced concrete: length scale parameters vs. material meso-structural features
- Some explicit expressions for twisted Catalan-Daehee numbers
- A new distance-based total uncertainty measure in Dempster-Shafer evidence theory
- Semi-supervised Heterogeneous Domain Adaptation: Theory and Algorithms
- Perceived behavioral control moderating effects in the theory of planned behavior: A meta-analysis.
- q-Laplace transform on quantum integral
- International Symposium in Approximation Theory Nashville, May 17-21, 2011
- Theory and techniques for “intellicise” wireless networks
- On subspace-recurrent operators
- Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy n-cell-number-valued functions
- The operator-splitting method for Cahn-Hilliard is stable
- On maximal cliques of Cayley graphs over fields
- Effective Field Theory of St\” uckelberg Vector Bosons
- Constructing Generic Effective Field Theory for All Masses and Spins
- … enhancement and emission reduction of a diesel engine fueled with different biodiesel-diesel blending fuel based on the multi-parameter optimization theory
- Using information theory to detect rogue taxa and improve consensus trees
- Partial offloading with stable equilibrium in fog-cloud environments using replicator dynamics of evolutionary game theory
- Paul Erdos, Sweet Genius
- Several determinantal expressions of generalized Tribonacci polynomials and sequences
- Two loop mass renormalization in heterotic string theory: NS states
- The maximum number of induced ‘s in a planar graph
- A mathematical theory of the computational resolution limit in one dimension
- Home: Indian Lattice Gauge Theory Initiative: TIFR
- Extremal problems for multigraphs
- On the Diophantine Equation dx 2 + p 2 aq 2 b = 4 yp
- Quantum q-series identities
- Ample simplicial complexes
- On Evaluations of Euler-Type Sums of Hyperharmonic Numbers
- Snowmass White Paper: Bootstrapping String Theory
- Hyperbolic functions obtained from -Jacobsthal sequences
- Efficient well placement optimization based on theory-guided convolutional neural network
- Experimental validation of inviscid linear stability theory applied to an axisymmetric jet
- Cultural Consensus Theory for Two-Dimensional Data: Expertise-Weighted Aggregation of Location Judgments
- Some Cambridge controversies in the theory of capital
- Second moment of the Prime Geodesic Theorem for PSL ( 2 , Z [ i ] )
- Philosophical methodology: from data to theory
- Non-classical foundations of set theory
- A review on a general multi-species BGK model: modelling, theory and numerics
- Angular-momentum projection in coupled-cluster theory: structure of Mg
- Least number of n-periodic points of self-maps of PSU ( 2 ) × PSU ( 2 )
- Logic Locking-Connecting Theory and Practice
- Inflation: Theory and Observations
- Poncelet triangles: a theory for locus ellipticity
- Theory of Nuclear Quadrupole Relaxation in Liquid Metals
- Integration of Information Theory, Fractal Theory and Statistical Analyses for Landslide Susceptibility Mapping at Regional Scales
- Employment Effects of Restricting Fixed-Term Contracts: Theory and Evidence
- Advanced nursing research: From theory to practice
- Theorizing the behavioral state: Resolving the theory-practice paradox of policy sciences
- Development of a theory-informed questionnaire to assess the acceptability of healthcare interventions
- Quantitative study on landscape colors of plant communities in urban parks based on natural color system and M‐S theory in Nanjing, China
- Reliance on artificial intelligence, machine learning and deep learning in the Era of industry 4.0
- Pure Gauss sums and skew Hadamard difference sets
- Political Settlements and Development: Theory, Evidence, Implications
- Representation Theory via Cohomology of Line Bundles
- Wall Distance Effects on Transition to Turbulence in Low-Reynolds-Number Separated Flows
- On the formalist-structuralist theory of character
- Where (and by how much) does a theory break down? With an application to the expectation hypothesis
- An enhanced higher order zigzag theory for laminated composite plates under mechanical/thermal loading
- Incorporating kinematic wave theory into a deep learning method for high-resolution traffic speed estimation
- Gap statistics and higher correlations for geometric progressions modulo one
- The theory and practice of change management
- Advanced topics in quantum field theory: A lecture course
- Algorithmically solving the tadpole problem
- On the maximum number of odd cycles in graphs without smaller odd cycles
- The Study of the Pore Structure Properties of Rocks Based on Complex Network Theory: Taking an Example of the Sandstone in the Tongnan Area in China
- Golden Age of Analog
- On a class of hypergeometric diagonals
- Proton number cumulants and correlation functions in Au-Au collisions at –200 GeV from hydrodynamics
- Non-virtually abelian anisotropic linear groups are not boundedly generated
- On a Diophantine equation
- Research Design: From Theory to Application
- Knock Detection in Combustion Engine Time Series Using a Theory-Guided 1D Convolutional Neural Network Approach
- Conceptual configuration design of line-foldable deployable space truss structures employing graph theory
- Quantitative numerical analysis of micro-thermal transpiration pump using kinetic theory of gases
- Elements of?-Category Theory
- A NUMERICAL SOLUTION OF A COUPLING SYSTEM OF CONFORMABLE TIME-DERIVATIVE TWO-DIMENSIONAL BURGERS’EQUATIONS
- Predicting Acceptance of e–Mental Health Interventions in Patients With Obesity by Using an Extended Unified Theory of Acceptance Model: Cross-sectional …
- An energy bound in the affine group
- Integration and Differentiation in the European Union: Theory and Policies
- Transfer operators and Hankel transforms between relative trace formulas, I: Character theory
- Dichromatic number and forced subdivisions
- Analytical method of evaluating nonuniformities in shock tube flows: theory and development
- Thermal Sensor Placement for Multi-core Systems based on Low-complex Compressive Sensing Theory
- A note on groups with a finite number of pairwise permutable seminormal subgroups
- Normal cloud model theory-based comprehensive fuzzy assessment of wooden pagoda safety
- Beam theory reformulation to implement various boundary conditions for generalized differential quadrature method
- How Schrödinger’s mice weave consciousness
- A Galerkin strategy for tri-hybridized mixture in ethylene glycol comprising variable diffusion and thermal conductivity using non-Fourier’s theory
- A classical formulation of quantum theory?
- Nanodosimetric calculations of radiation-induced DNA damage in a new nucleus geometrical model based on the isochore theory
- Using theories and frameworks to understand how to reduce low-value healthcare: a scoping review
- Inverse Turán numbers
- Choice points for a theory of normality
- Open for innovation: An improved measurement approach using item response theory
- Unitarity Problems for an Effective Field Theory Description of Early Universe Cosmology
- A socialist republican theory of freedom and government
- Asymptotically most powerful tests for random number generators
- The impact of digital marketing strategies on customer’s buying behavior in online shopping using the rough set theory
- A novel pipeline leak detection and localization method based on the FBG pipe-fixture sensor array and compressed sensing theory
- A new lower bound on graph gonality
- The unreasonable effectiveness of wall-crossing in algebraic geometry
- ABID: Angle Based Intrinsic Dimensionality—Theory and analysis
- Putting the theory into ‘burstlet theory’with a biophysical model of burstlets and bursts in the respiratory preBötzinger complex
- Limit distribution theory for smooth -Wasserstein distances
- Nonparametric estimation and conformal inference of the sufficient forecasting with a diverging number of factors
- On two conjectures about the intersection distribution
- Transfer operators and Hankel transforms between relative trace formulas, II: Rankin–Selberg theory
- Kuroda’s formula and arithmetic statistics
- Ground states of Heisenberg spin clusters from projected Hartree-Fock theory
- Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory
- Improving the visibility and description of theory in qualitative research: The QUANTUM typology