Full Read and Download Reference eBook
Transcendence And Linear Relations Of 1 Periods Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Transcendence And Linear Relations Of 1 Periods book. This book definitely worth reading, it is an incredibly well-written.
Author : Annette Huber
Publisher : Cambridge University Press
Page : 265 pages
File Size : 17,78 MB
Release : 2022-05-26
Category : Mathematics
ISBN : 1316519937
Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.
Author : Annette Huber
Publisher : Cambridge University Press
Page : 266 pages
File Size : 28,72 MB
Release : 2022-05-26
Category : Mathematics
ISBN : 1009022717
This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
Author : Alan Baker
Publisher : Cambridge University Press
Page : 185 pages
File Size : 50,65 MB
Release : 2022-06-09
Category : Computers
ISBN : 100922994X
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author : Jonathan Pila
Publisher : Cambridge University Press
Page : 267 pages
File Size : 12,51 MB
Release : 2022-06-09
Category : Mathematics
ISBN : 1009170325
Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
Author : Alejandro D. de Acosta
Publisher :
Page : 264 pages
File Size : 12,91 MB
Release : 2022-10-12
Category : Mathematics
ISBN : 1009063359
This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the almost sure convergence of the averages of a real or vector-valued function of the chain to the mean of the function with respect to the invariant distribution. In the case of empirical measures, the ergodic theorem states the almost sure convergence in a suitable sense to the invariant distribution. The large deviation theorems provide precise asymptotic estimates at logarithmic level of the probabilities of deviating from the preponderant behavior asserted by the ergodic theorems.
Author : János Kollár
Publisher : Cambridge University Press
Page : 491 pages
File Size : 36,57 MB
Release : 2023-04-30
Category : Mathematics
ISBN : 1009346105
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.
Author : D. E. Edmunds
Publisher : Cambridge University Press
Page : 169 pages
File Size : 24,75 MB
Release : 2022-10-31
Category : Mathematics
ISBN : 1009254634
Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.
Author : Shmuel Weinberger
Publisher : Cambridge University Press
Page : 365 pages
File Size : 46,63 MB
Release : 2022-11-30
Category : Mathematics
ISBN : 1107142598
Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Author : Hossein Movasati
Publisher : World Scientific
Page : 323 pages
File Size : 40,33 MB
Release : 2021-10-12
Category : Mathematics
ISBN : 9811238693
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.
Author : Paula Tretkoff
Publisher : Wspc (Europe)
Page : 0 pages
File Size : 29,89 MB
Release : 2017
Category : Hypergeometric functions
ISBN : 9781786342942
This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi-Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.