"This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For…
This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For …
"This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen's famous quas…
This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen's famous quasi…
Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integra…
We consider the zeros of a Neumann eigenfunction φλ on an analytic domain Ω solving the equation −Δφ λ = λ2φλ. We count the number n(λ, H) of intersection points of the nodal lines of φλ (components of the nodal set) with a fixed real analytic curve H contained in the interior o…
The problem of finding eigenvalues and eigenfunctions and studying their behavior plays a crucial role in modern mathematics. More than a century of study by a legion of researchers, including many of the top names in physics as well as mathematics, has led to many important res…
