Tag: Quaternionic

Free Download Atsushi Ichino, "Periods of Quaternionic Shimura Varieties. I. "
English | ISBN: 1470448947 | 2021 | 214 pages | PDF | 2 MB
This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura’s algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of L-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras.

Free Download Quaternionic Integral Transforms: A Machine-Generated Literature Overview by Eckhard Hitzer
English | PDF EPUB (True) | 2023 | ISBN : 3031283740 | 4.9 MB
This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book’s editor. Each chapter presents summaries of predefined themes and provides the reader with a basis for further exploration of the topic. As one of the experimental projects initiated by Springer Nature for AI book content generation, this book shows the latest developments in the field. It will be a useful reference for students and researchers who are interested in exploring the latest developments in quaternion integral transforms.