Asymptotic behaviour of equations and
Asymptotic behaviour of the equation with complex-valued coefficients
Asymptotic behaviour of the system of two differential equations
Asymptotic estimates for the growth of meromorphic solutions to differential equations in angular domains.
Asymptotic expansions of solutions to the fifth Painlevé equation in neighbourhoods of singular and nonsingular points of the equation
Applying methods of plane Power Geometry we are looking for the asymptotic expansions of solutions to the fifth Painlevé equation in the neighbourhood of its singular and nonsingular points.
Asymptotic nature of solutions of the equation with a complex valued function
Asymptotics of polynomial solutions of a class of generalized Lamé differential equations.
Asymptotische Eigenschaften der Differentialgleichung
Asymptotische Formeln für die Lösungnen der Differentialgleichung
Auszug aus einem Schreiben des Herrn L. Fuchs an C. W. Borchardt.
Automorphic realization of residual Galois representations
We show that it is possible in rather general situations to obtain a finite-dimensional modular representation of the Galois group of a number field as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over , provided one works “potentially.” The proof is based on a close study of the monodromy of the Dwork family of Calabi–Yau hypersurfaces; this in turn makes use of properties of rigid local systems and the classification...