Number Theory Research Topics

Research Area/ Research Interest: Number Theory

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

1.  Transcendental number theory
2.  Analytical number theory: A topological approach
3. Entropy and Its Application to Number Theory
4.  Geometric Number Theory
5. Non-dense orbits on homogeneous spaces and applications to geometry and number theory
6. Number theory
7. Beyond Knuth’s notation for unimaginable numbers within computational number theory
8.  Number Theory and Dynamical Systems (Preliminary Notes)
9. Watermarking of Digital Image Based on Complex Number Theory
10. On a communication complexity problem in combinatorial number theory
11. Study of Hazards in Underground Mining: Using Fuzzy Cognitive Map and Z-Number Theory for Prioritizing of effective Factors on Occupational Hazards in …
12. Conjecture: 100% of elliptic surfaces over Q have rank zero
13. Periods of t-modules as special values
14. t-Aspect subconvexity for GL (2)× GL (2) L-function
15. The even parity Goldfeld conjecture: Congruent number elliptic curves
16. Fragile watermarking scheme in spatial domain based on prime number distribution theory
17. 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
18. Five open problems in quantum information theory
19. On explicit estimates for S (t), S1 (t), and ζ (1/2+ it) under the Riemann hypothesis
20. Classifying families of orthogonal polynomials having Galois group the alternating group
21.  A reduction algorithm for Hilbert modular groups
22.  MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms
23. Alon–Tarsi numbers of direct products
24. NNLO positivity bounds on chiral perturbation theory for a general number of flavours
25. On shuffle-type functional relations of desingularized multiple zeta-functions
26. Algebraic independence of the Carlitz period and its hyperderivatives
27. Counting zeros of the Riemann zeta function
28. Equivariant special L-values of abelian t-modules
29. Higher genus theory
30. On the number of zeros of diagonal quartic forms over finite fields
31. Sequences with almost Poissonian pair correlations
32. Non-commutative analytic subgroup theorem
33. The local Gan-Gross-Prasad conjecture for U (n+ 1)× U (n): A non-generic case
34. Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields
35. Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices
36. On Drinfeld modular forms of higher rank IV: Modular forms with level
37. Class numbers of real quadratic fields
38. On some applications of GCD sums to Arithmetic Combinatorics
39. Real quadratic fields admitting universal lattices of rank 7
40. Fundamental Theory
41. More exact values of the function Γ⁎(k)
42. Rogers’ mean value theorem for S-arithmetic Siegel transforms and applications to the geometry of numbers
43. A consequence of the relative Bogomolov conjecture
44. Explicit lower bounds on| L (1, χ)|
45.  Euler: The master of us all
46. Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer
47. On seven conjectures of Kedlaya and Medvedovsky
48. Frobenius–Perron theory of representations of quivers
49. Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions
50.  Pairing pythagorean pairs
51. p-adic heights and Vologodsky integration
52.  Proof of the Bessenrodt–Ono Inequality by Induction
53. On an extension of the Landau-Gonek formula
54. On twisted A-harmonic sums and Carlitz finite zeta values
55.  p-adic Differential Equations
56. A t-motivic interpretation of shuffle relations for multizeta values
57.  Fourier analysis
58. Rikuna’s generic cyclic polynomial and the monogenity
59. On the compactification of the Drinfeld modular curve of level Γ1Δ (n)
60. Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo , , and
61.  Some properties of the Catalan numbers
62. A crank-based approach to the theory of 3-core partitions
63. Supercongruences concerning truncated hypergeometric series
64. Counting bounded elements of a number field
65. Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms
66.  Diophantine triples and K3 surfaces
67. O-minimal invariants for discrete-time dynamical systems
68. Elliptic curves over the rational numbers with semi-abelian reduction and two-division points
69. Fitting ideals of class groups in Carlitz–Hayes cyclotomic extensions
70.  Notes on isocrystals
71.  Effective arguments in unipotent dynamics
72. On multi-poly-Bernoulli–Carlitz numbers
73. Tensor powers of rank 1 Drinfeld modules and periods
74. Tilted corners in integer grids
75. Spectrum of a linear differential equation over a field of formal power series
76. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
77. Arithmetic intersections of modular geodesics
78. Functional equation and zeros on the critical line of the quadrilateral zeta function
79. Some q-supercongruences from the Bailey transformation
80. Variétés abéliennes CM et grosse monodromie finie sauvage
81. Theta correspondence for almost unramified representations of unitary groups
82. How far is an extension of p-adic fields from having a normal integral basis?
83. An effective version of Belyĭ’s theorem in positive characteristic
84. On Drinfeld modular forms of higher rank II
85. On superspecial abelian surfaces over finite fields III
86.  Integrality, duality and finiteness in combinatoric topological strings
87. Unique sums and differences in finite Abelian groups
88. On the clique number of Paley graphs of prime power order
89. A finiteness result for p-adic families of Bianchi modular forms
90. Model theory of adeles I
91.  Algebraic geometry and commutative algebra
92. Category of C-motives over finite fields
93. A reliability analysis method of dynamic irregularity for track–viaduct system with low stiffness
94.  Twist-minimal trace formula for holomorphic cusp forms
95. Discrete maximal operators over surfaces of higher codimension
96. Topological models for stable motivic invariants of regular number rings
97. A lower bound on the number of inequivalent APN functions
98. Neutrinoless Double-Beta Decay: A Roadmap for Matching Theory to Experiment
99. DSRP Theory: A Primer
100.  Introduction to the theory of differential inclusions
101. Capitulation abélienne des groupes de classes de rayons
102. Probabilistic uncertain linguistic EDAS method based on prospect theory for multiple attribute group decision-making and its application to green finance
103. Paramodular forms coming from elliptic curves
104. Metric theory of Weyl sums
105. On the extension of the theory of Umweganregung with respect to the use of divergent white X-ray radiation
106. Machine-learning the Sato–Tate conjecture
107. On the Theory of Free Carrier Electro-Magneto-Optical Phenomena
108. On the bounds of the perimeter of an ellipse
109. Convergence to the Plancherel measure of Hecke Eigenvalues
110. On the theory of electrical domains in hot electron semiconductors
111. Testing real quantum theory in an optical quantum network
112. No-go theorems for quantum resource purification: New approach and channel theory
113.  Infinite Sperner’s theorem
114. The Theory of the Use of Cloud Technologies in the Implementation of Hierarchical Preparation of Engineers
115.  A Course in Stochastic Game Theory
116. Theory of Light Emission by Impurity Centres from Non-Equilibrium Vibrational States
117.  The Analog of Lehmer Problem on Abelian Varieties with Complex Multiplication
118. On the theory of the MIS high-frequency capacitance. The effect of degeneration and non-parabolicity
119. The Choice of Non-Equilibrium Statistical Operator Parameters and the Cross-Relaxation Theory
120. Triangles and triple products of Laplace eigenfunctions
121. Resampling and Network Theory
122. Some q-supercongruences from a quadratic transformation by Rahman
123. A vortex–wave interaction theory describing the effect of boundary forcing on shear flows
124.  POLYNOMIAL METHODS AND INCIDENCE THEORY.
125. On Elkies’ method for bounding the transitivity degree of Galois groups
126. Mock modularity and surface defects in topological super Yang-Mills theory
127. l-class groups of fields in Kummer towers
128.  Maxima of log-correlated fields: some recent developments
129. The 4D Einstein-Gauss-Bonnet theory of gravity: a review
130.  An Innovation and Entrepreneurship Management System for Universities Based on Cluster Analysis Theory
131. Recurrence relations of poly-Cauchy numbers by the r-Stirling transform
132. Frames over finite fields: Basic theory and equiangular lines in unitary geometry
133.  Necessary and sufficient conditions for a difference defined by four derivatives of a function containing trigamma function to be completely monotonic
134. On the ergodic Waring–Goldbach problem
135. Employing Typicality in Optimal Control Theory
136. Gallai-Ramsey number of even cycles with chords
137. Discussion of the heat flux rectification in the solid-solid system in the acoustic-mismatch theory framework
138. 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
139. Hermite-Pad\'{e} approximation and integrability
140.  Graph theory methods: applications in brain networks
141. A new extension for local composition model–From theory to Equation of State
142. Comparing Crowdfunding Theory and Practice: The Case of Technology Firms in England
143.  RELATIVISTIC SCATTERING THEORY
144. Differential and Integral Calculus for Fuzzy Number-Valued Functions with Interactivity
145.  Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and 𝑝
146. Coefficient bounds for a new family of bi-univalent functions associated with -Lucas polynomials
147.  Forecasting: theory and practice
148. Constructive theory of ordinals
149. Varieties of mathematical understanding
150.  Brane Physics Solutions for M-Theory
151.  Statistical Inference: Theory of Estimation
152. Archive theory
153.  Rough statistical convergence for difference sequences
154. Exact learning and test theory
155. Estimating power for clinical trials with Patient Reported Outcomes-using Item Response Theory
156. Nonlocal vibration of functionally graded nanoplates using a layerwise theory
157. Adopting the Joint Line Theory for Bone Resection in Cruciate‐Retaining Total Knee Arthroplasty to Prevent Flexion Gap Tightness
158.  Theory-oriented screening and discovery of advanced energy transformation materials in electrocatalysis
159. Theory of Critical Distances and static/dynamic fracture behaviour of un-reinforced concrete: length scale parameters vs. material meso-structural features
160. Some explicit expressions for twisted Catalan-Daehee numbers
161. A new distance-based total uncertainty measure in Dempster-Shafer evidence theory
162. Semi-supervised Heterogeneous Domain Adaptation: Theory and Algorithms
163. Perceived behavioral control moderating effects in the theory of planned behavior: A meta-analysis.
164.  q-Laplace transform on quantum integral
165.  International Symposium in Approximation Theory Nashville, May 17-21, 2011
166.  Theory and techniques for “intellicise” wireless networks
167. On subspace-recurrent operators
168. Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy n-cell-number-valued functions
169. The operator-splitting method for Cahn-Hilliard is stable
170. On maximal cliques of Cayley graphs over fields
171. Effective Field Theory of St\” uckelberg Vector Bosons
172. Constructing Generic Effective Field Theory for All Masses and Spins
173. … enhancement and emission reduction of a diesel engine fueled with different biodiesel-diesel blending fuel based on the multi-parameter optimization theory
174. Using information theory to detect rogue taxa and improve consensus trees
175. Partial offloading with stable equilibrium in fog-cloud environments using replicator dynamics of evolutionary game theory
176. Paul Erdos, Sweet Genius
177. Several determinantal expressions of generalized Tribonacci polynomials and sequences
178. Two loop mass renormalization in heterotic string theory: NS states
179. The maximum number of induced ‘s in a planar graph
180. A mathematical theory of the computational resolution limit in one dimension
181.  Home: Indian Lattice Gauge Theory Initiative: TIFR
182. Extremal problems for multigraphs
183. On the Diophantine Equation dx 2 + p 2 aq 2 b = 4 yp
184. Quantum q-series identities
185.  Ample simplicial complexes
186. On Evaluations of Euler-Type Sums of Hyperharmonic Numbers
187.  Snowmass White Paper: Bootstrapping String Theory
188. Hyperbolic functions obtained from -Jacobsthal sequences
189.  Efficient well placement optimization based on theory-guided convolutional neural network
190. Experimental validation of inviscid linear stability theory applied to an axisymmetric jet
191. Cultural Consensus Theory for Two-Dimensional Data: Expertise-Weighted Aggregation of Location Judgments
192.  Some Cambridge controversies in the theory of capital
193. Second moment of the Prime Geodesic Theorem for PSL ( 2 , Z [ i ] )
194.  Philosophical methodology: from data to theory
195. Non-classical foundations of set theory
196. A review on a general multi-species BGK model: modelling, theory and numerics
197. Angular-momentum projection in coupled-cluster theory: structure of Mg
198.  Least number of n-periodic points of self-maps of PSU ( 2 ) × PSU ( 2 )
199. Logic Locking-Connecting Theory and Practice
200. Inflation: Theory and Observations
201. Poncelet triangles: a theory for locus ellipticity
202. Theory of Nuclear Quadrupole Relaxation in Liquid Metals
203.  Integration of Information Theory, Fractal Theory and Statistical Analyses for Landslide Susceptibility Mapping at Regional Scales
204.  Employment Effects of Restricting Fixed-Term Contracts: Theory and Evidence
205.  Advanced nursing research: From theory to practice
206. Theorizing the behavioral state: Resolving the theory-practice paradox of policy sciences
207.  Development of a theory-informed questionnaire to assess the acceptability of healthcare interventions
208. Quantitative study on landscape colors of plant communities in urban parks based on natural color system and M‐S theory in Nanjing, China
209. Reliance on artificial intelligence, machine learning and deep learning in the Era of industry 4.0
210. Pure Gauss sums and skew Hadamard difference sets
211.  Political Settlements and Development: Theory, Evidence, Implications
212. Representation Theory via Cohomology of Line Bundles
213. Wall Distance Effects on Transition to Turbulence in Low-Reynolds-Number Separated Flows
214. On the formalist-structuralist theory of character
215. Where (and by how much) does a theory break down? With an application to the expectation hypothesis
216. An enhanced higher order zigzag theory for laminated composite plates under mechanical/thermal loading
217. Incorporating kinematic wave theory into a deep learning method for high-resolution traffic speed estimation
218. Gap statistics and higher correlations for geometric progressions modulo one
219.  The theory and practice of change management
220.  Advanced topics in quantum field theory: A lecture course
221. Algorithmically solving the tadpole problem
222. On the maximum number of odd cycles in graphs without smaller odd cycles
223. 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
224. Golden Age of Analog
225. On a class of hypergeometric diagonals
226. Proton number cumulants and correlation functions in Au-Au collisions at –200 GeV from hydrodynamics
227. Non-virtually abelian anisotropic linear groups are not boundedly generated
228. On a Diophantine equation
229. Research Design: From Theory to Application
230. Knock Detection in Combustion Engine Time Series Using a Theory-Guided 1D Convolutional Neural Network Approach
231. Conceptual configuration design of line-foldable deployable space truss structures employing graph theory
232. Quantitative numerical analysis of micro-thermal transpiration pump using kinetic theory of gases
233.  Elements of?-Category Theory
234.  A NUMERICAL SOLUTION OF A COUPLING SYSTEM OF CONFORMABLE TIME-DERIVATIVE TWO-DIMENSIONAL BURGERS’EQUATIONS
235.  Predicting Acceptance of e–Mental Health Interventions in Patients With Obesity by Using an Extended Unified Theory of Acceptance Model: Cross-sectional …
236. An energy bound in the affine group
237.  Integration and Differentiation in the European Union: Theory and Policies
238. Transfer operators and Hankel transforms between relative trace formulas, I: Character theory
239. Dichromatic number and forced subdivisions
240. Analytical method of evaluating nonuniformities in shock tube flows: theory and development
241. Thermal Sensor Placement for Multi-core Systems based on Low-complex Compressive Sensing Theory
242. A note on groups with a finite number of pairwise permutable seminormal subgroups
243. Normal cloud model theory-based comprehensive fuzzy assessment of wooden pagoda safety
244. Beam theory reformulation to implement various boundary conditions for generalized differential quadrature method
245. How Schrödinger’s mice weave consciousness
246.  A Galerkin strategy for tri-hybridized mixture in ethylene glycol comprising variable diffusion and thermal conductivity using non-Fourier’s theory
247. A classical formulation of quantum theory?
248. Nanodosimetric calculations of radiation-induced DNA damage in a new nucleus geometrical model based on the isochore theory
249.  Using theories and frameworks to understand how to reduce low-value healthcare: a scoping review
250. Inverse Turán numbers
251. Choice points for a theory of normality
252. Open for innovation: An improved measurement approach using item response theory
253. Unitarity Problems for an Effective Field Theory Description of Early Universe Cosmology
254. A socialist republican theory of freedom and government
255. Asymptotically most powerful tests for random number generators
256. The impact of digital marketing strategies on customer’s buying behavior in online shopping using the rough set theory
257. A novel pipeline leak detection and localization method based on the FBG pipe-fixture sensor array and compressed sensing theory
258. A new lower bound on graph gonality
259.  The unreasonable effectiveness of wall-crossing in algebraic geometry
260.  ABID: Angle Based Intrinsic Dimensionality—Theory and analysis
261. Putting the theory into ‘burstlet theory’with a biophysical model of burstlets and bursts in the respiratory preBötzinger complex
262. Limit distribution theory for smooth -Wasserstein distances
263. Nonparametric estimation and conformal inference of the sufficient forecasting with a diverging number of factors
264. On two conjectures about the intersection distribution
265. Transfer operators and Hankel transforms between relative trace formulas, II: Rankin–Selberg theory
266. Kuroda’s formula and arithmetic statistics
267. Ground states of Heisenberg spin clusters from projected Hartree-Fock theory
268. Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory
269.  Improving the visibility and description of theory in qualitative research: The QUANTUM typology