By Michel Courtieu
This publication, now in its 2d version, is dedicated to the arithmetical concept of Siegel modular kinds and their L-functions. The imperative object are L-functions of classical Siegel modular kinds whose detailed values are studied utilizing the Rankin-Selberg process and the motion of definite differential operators on modular varieties that have great arithmetical homes.
A new approach to p-adic interpolation of those severe values is gifted. a tremendous category of p-adic L-functions treated within the current publication are p-adic L-functions of Siegel modular types having logarithmic progress. The given building of those p-adic L-functions makes use of special algebraic homes of the arithmetical Shimura differential operator.
The publication can be very worthy for postgraduate scholars and for non-experts looking for a quickly method of a speedily constructing area of algebraic quantity conception. This re-creation is considerably revised to account for the hot causes that experience emerged some time past 10 years of the most formulation for specified L-values when it comes to arithmetical idea of approximately holomorphic modular kinds.
Read or Download Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms (Lecture Notes in Mathematics) PDF
Similar Algebraic Geometry books
This paintings attracts jointly rules from algebraic topology, sensible research and geometry. it's a device - a method of conveying details between those 3 matters - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this ebook is to acquaint the reader with the basic rules of analytic K-homology and strengthen a few of its functions.
First textbook-level account of simple examples and strategies during this zone. compatible for self-study by way of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.
"It provides a delicate portrait of a good person. It describes safely and intelligibly on a nontechnical point the area of mathematical principles within which Hilbert created his masterpieces. And it illuminates the historical past of German social background opposed to which the drama of Hilberts lifestyles was once performed.
From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got constrained myself to these issues touching on natural research. within the moment ebook i've got defined these factor which needs to be identified from geometry, for the reason that research is in most cases built in this kind of manner that its program to geometry is proven.
Extra resources for Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms (Lecture Notes in Mathematics)