Results 21 to 30 of about 58 (55)
Polynomial‐exponential equations — Some new cases of solvability
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables.
Vincenzo Mantova, David Masser
wiley +1 more source
Hypercomplex operator calculus for the fractional Helmholtz equation
Mathematical Methods in the Applied Sciences, Volume 47, Issue 14, Page 11439-11472, 30 September 2024.In this paper, we develop a hypercomplex operator calculus to treat fully analytically boundary value problems for the homogeneous and inhomogeneous fractional Helmholtz equation where fractional derivatives in the sense of Caputo and Riemann–Liouville are applied.
Nelson Vieira +3 more
wiley +1 more source
Difficulties in testing for capital overaccumulation
Quantitative Economics, Volume 15, Issue 1, Page 89-114, January 2024.This paper reconsiders the question of testing for the presence of Pareto suboptimal capital overaccumulation in overlapping generations economies. The paper allows generation‐specific technology shocks to evolve over time according to a stationary Markov chain, and assumes that an econometrician observes a finite sample of aggregate quantities.
Narayana R. Kocherlakota
wiley +1 more source