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M.A. Raspanti: Il Seminario Matematico di Roma nel contesto europeo tra il XIX secolo e l'inizio del XX
📥 Full Text pdf (Editorial version), posted online 11 February 2026.
Abstract. This work presents the Rome Mathematical Seminar, exploring its distinctive characteristics and situating it within national and international contexts. Having examined the mathematical seminars that arose in Germany in the 19th century and in France in the early 20th century, which differed from each other in terms of their characteristics and aims, we will focus on the Italian context.
Beyond private initiatives, the first Seminars in Italy were founded in Naples in 1906 and in Rome in 1913, at a time when Italian mathematics was experiencing a revival on an international scale. We will also dedicate a section to the Circolo matematico di Palermo, which, although it has become an international society, was originally conceived as a meeting place for scientific discussion for mathematicians in Palermo only.
A notable feature of the Rome Seminar is the publication of its own journal, the Rendiconti del Seminario Matematico di Roma, offering valuable insights into the Seminar's activities and the variety and direction of its research interests. The journal is also a significant source for examining the development Faculty of Sciences' national and international relations, particularly those of the Rome School of Mathematics.
H. Meghnafi, O. Selt, M.A.Hammami: Asymptotic analysis of a class of differential equations under a small parameter with application
📥 Full Text (Editorial version), posted online 8 January 2026.
Abstract. For a class of perturbed non-autonomous nonlinear systems, we show that global exponential stability of the nominal system guarantees the existence of an exponentially decaying Lyapunov function for the perturbed case provided the perturbation is small enough. Our approach explicitly constructs this function. The practical value of these convergence criteria is confirmed by numerical simulation of a Van der Pol oscillator, which verifies the theoretical bounds on the perturbation
Francesco Maltese: The existence and local uniqueness of the eigenfunctions of the non-linear operator ΔHun in the hyperbolic Poincaré half-plane.
📥 Full Text (Editorial version), posted online 31 October 2025.
Abstract. In this article, we find locally eigenfunctions for a particular nonlinear hyperbolic differential operator ΔHun where ΔH is the hyperbolic Laplacian in the Poincaré half-plane.
We have proved that these eigenfunctions are an analytic and non-exact, whose coefficients satisfy a specific algebraic recursive rule.
The existence of these eigenfunctions allows us to find non-exact solutions with respect to the spatial coordinate of nonlinear diffusive PDEs on the Poincaré half-plane, which could describe a possible one-dimensional physical model.
Eberhard Freitag, Riccardo Salvati Manni: Some Remarks to a Theorem of van Geemen
📥 Full Text (Editorial version), posted online 31 October 2025.
Abstract. In [3], Bert van Geemen computed the dimension of the space of the fourth power of the thetanullwerte. In [7], it has been observed that all linear relations are consequences of the quartic Riemann relations. In this note, we want to give a new proof of these results and extend them. to the vector valued case. In a last section we treat the linear dependencies between arbitrary powers of the thetanullwerte. We will show that k = 4 is the only case where such dependencies can occur.
Glossary:Editorial version: final version, ready for publication.Online first: layout of Rendiconti, with unassigned volume and pages.Postprint: author's version of the accepted paper.
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