By Alexei Skorobogatov
By Akihito Uchiyama
Uchiyama's decomposition of BMO capabilities is taken into account the "Mount Everest of Hardy house theory". This ebook is predicated at the draft, which the writer accomplished ahead of his surprising loss of life in 1997. these days, his contributions are super influential in numerous fields of research, resulting in additional breakthroughs.
By Hatice Boylan
By David Grynkiewicz
By Yann Bugeaud
By Wilfredo Urbina,Alex Stokolos
This quantity of papers provided on the convention in honor of Calixto P. Calderón via his pals, colleagues, and scholars is meant to make the mathematical neighborhood conscious of his vital scholarly and examine contributions in modern Harmonic research and Mathematical types utilized to Biology and drugs, and to stimulate extra learn sooner or later during this sector of natural and utilized mathematics.
By André Voros
In this article, the recognized zeros of the Riemann zeta functionality and its generalizations (L-functions, Dedekind and Selberg zeta functions)are analyzed via a number of zeta capabilities equipped over these zeros.
By Oleg Karpenkov
Traditionally a subject matter of quantity concept, persisted fractions seem in dynamical platforms, algebraic geometry, topology, or even celestial mechanics. the increase of computational geometry has ended in renewed curiosity in multidimensional generalizations of persevered fractions. quite a few classical theorems were prolonged to the multidimensional case, casting mild on phenomena in varied parts of arithmetic. This e-book introduces a brand new geometric imaginative and prescient of endured fractions. It covers a number of functions to questions comparable to such components as Diophantine approximation, algebraic quantity concept, and toric geometry.
The reader will locate an outline of present growth within the geometric thought of multidimensional persevered fractions observed via at the moment open difficulties. at any time when attainable, we illustrate geometric structures with figures and examples. each one bankruptcy has routines worthwhile for undergraduate or graduate courses.
By Marc Kesseböhmer,Sara Munday,Bernd Otto Stratmann
By connecting dynamical platforms and quantity concept, this graduate textbook on ergodic concept acts as an creation to a hugely lively sector of arithmetic, the place a number of strands of study open up. The textual content explores a variety of strategies in endless ergodic idea, continuously utilizing persisted fractions and different number-theoretic dynamical structures as illustrative examples.
Number-theoretical dynamical systems
Basic ergodic theory
Renewal thought and α-sum-level sets
Infinite ergodic theory
Applications of countless ergodic theory