This volume is devoted to the study of Hilbert p-adic modular forms. It contains classicality theorems for overconvergent forms which generalize on the first hand Coleman criterion, which can be applied in big weights, and on the second hand Buzzard-Taylor criterion, which can b…
This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research progra…
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
by Ward, Thomas, Everest, Graham
fromUniversitext
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, …
by Ward, Thomas, Everest, Graham
fromUniversitext
"This book covers an exciting interplay between arithmetic and dynamical systems. The fulcrum is a natural measure of height of a polynomial, known as Mahler's measure. In dynamical systems, this same measure arises as the entropy - a measure of orbit complexity - of a map assoc…
E. Kähler: Geometria aritmetica.- L. Roth: Questioni di razionalità e varietà gruppali.- Seminars: B. Segre: Intorno alla geometria sopra un corpo di caratteristica p[not equal to]0 con particolare riguardo al caso p=2.
by Tsfasman, M. A., (Michael A.), Ritzenthaler, Christophe, International Conference Arithmetic, Geometry, Cryptography and Coding Theory, Marseille, France), Lachaud, Gilles
fromContemporary mathematics (American Mathematical Society)
