2023
Title : Meromorphic Continuation Of Global Zeta Function For Number Fields
Area : Analytic Number Theory, Harmonic Analysis, Global Class Field Theory
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Title : A brief Introduction To Splitting Of Primes Over Number Fields
Area : Algebraic Number Theory
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Title : On the proof of the Prime Number Theorem using Order Estimates for the Chebyshev Theta Function
Area : Analytic Number Theory
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Area : Analytic Number Theory
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Title : A Combinatorial Approach Towards Ramanujan's Partition Congruences Modulo 5, 7 and 11 In Terms Of Its Corresponding Cranks
Area : Combinatorial Number Theory , Additive Number Theory , Theory of Integer Partitions
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Title : On the Order Estimate of the Mertens Function and its Relation to the Zeros of the Riemann Zeta Function
Area : Analytic Number Theory , Advanced Linear Algebra , Advanced Matrix Theory
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Title : A Detailed Study of Kirchhoff-type Critical Elliptic Equations and $p$-Sub-Laplacian Operators within the Heisenberg Group $\mathcal{H}_{n}$ Framework
Area : Analysis, Partial Differential Equations
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2024
Title : Automorphisms of Affine Spaces : A Proof of Bijectivity via Jacobian Determinant
Area : Algebraic Geometry
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Title : On the $H^{m}$-Regularity for Second Order Elliptic Equations
Area : Analysis of PDEs, Fourier Analysis
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Title : An Exposition on Critical Point Theory with Applications
Area : Analysis of PDEs, Functional Analysis
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Title : On proving an Inequality of Ramanujan using Explicit Order Estimates of the Mertens Function
Area : Analytic Number Theory, Distribution of Primes
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Title : Studying some Inequalities involving Polynomial Functions in $\pi(x)$
Area : Analytic Number Theory, Distribution of Primes
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