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New and Old Results in Resultant Theory

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New applications of pseudoanalytic function theory to the Dirac equation

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New Approach for Stochastic Quantum Processes, their Manipulation and Control

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New Approach to Bounded Quantum--Mechanical Models

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New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I. One-dimensional particles, short-range pair potentials

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New approach to representation theory of semisimple Lie algebras and quantum algebras

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New approximate radial wave functions for power-law potentials

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New Basic Form of the Semiclassical Quantization Condition

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New Bessel Identities from Laguerre Polynomials

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New bounds for the free energy of directed polymers in dimension 1+1 and 1+2

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New bounds on the Lieb-Thirring constants

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New bounds on the maximum ionization of atoms

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New branching rules induced by plethysm

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New characterizations of the region of complete localization for random Schrödinger operators

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New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians

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New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order

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New Classes of Off-Diagonal Cosmological Solutions in Einstein Gravity

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New Classes of Potentials for which the Radial Schrodinger Equation can be solved at Zero Energy

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New classes of quasi-solvable potentials, their exactly-solvable limit and related orthogonal polynomials

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New classes of spin chains from $(S\hat{O}_{(q)}(N)$, $S\hat{p}_{(q)}(N))$ Temperley-Lieb algebras: Data transmission and (q, N) parametrized entanglement entropies

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