Edited by David Kohel: Aix Marseille Universite, Marseille, France,
Igor Shparlinski: University of New South Wales, Sydney, Australia

Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures

Contemporary Mathematics, Volume: 663
2016; 238 pp; Softcover
Print ISBN: 978-1-4704-1947-9

This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17-21, 2014 and February 24-28, 2014, at the Centre International de Rencontres Mathematiques, Marseille, France.

This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.

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Edited by Dihua Jiang: University of Minnesota, Minneapolis, MN,
Freydoon Shahidi: Purdue University, West Lafayette, IN,
David Soudry: Tel Aviv University, Tel Aviv, Israel

Advances in the Theory of Automorphic Forms and Their $L$-functions

Contemporary Mathematics,Volume: 664
2016; 376 pp; Softcover
Print ISBN: 978-1-4704-1709-3

This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L -functions” held in honor of James Cogdell's 60th birthday, held from October 16?25, 2013, at the Erwin Schrodinger Institute (ESI) at the University of Vienna.
The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L

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Alexander Shen: Institute of Problems of Information Transmission, Moscow, Russia
and LIRMM CNRS, Universite de Montpellier, Montpellier, France

Geometry in Problems

MSRI Mathematical Circles Library, Volume: 18
2016; 214 pp; Softcover
Print ISBN: 978-1-4704-1921-9

Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving.

The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions.

The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process.

In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

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Pandelis Dodos: University of Athens, Athens, Greece,
Vassilis Kanellopoulos: National Technical University of Athens, Athens, Greece

Ramsey Theory for Product Spaces

Mathematical Surveys and Monographs, Volume: 212
2016; 245 pp; Hardcover
Print ISBN: 978-1-4704-2808-2

Ramsey theory is a dynamic area of combinatorics that has various applications in analysis, ergodic theory, logic, number theory, probability theory, theoretical computer science, and topological dynamics.

This book is devoted to one of the most important areas of Ramsey theory?the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dimensional case. The book presents many major results and methods in the area, such as Szemeredi's regularity method, the hypergraph removal lemma, and the density Hales-Jewett theorem.

This book addresses researchers in combinatorics but also working mathematicians and advanced graduate students who are interested in Ramsey theory.

The prerequisites for reading this book are rather minimal: it only requires familiarity, at the graduate level, with probability theory and real analysis. Some familiarity with the basics of Ramsey theory would be beneficial, though not necessary.

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Edited by Helge Glockner: Universitat Paderborn, Paderborn, Germany,
Alain Escassut: Universite Blaise Pascal, Aubiere, France,
Khodr Shamseddine: University of Manitoba, Winnipeg, Manitoba, Canada

Advances in Non-Archimedean Analysis

Contemporary Mathematics, Volume: 665
2016; 335 pp; Softcover
Print ISBN: 978-1-4704-1988-2

This volume contains the Proceedings of the 13th International Conference on padic Functional Analysis, held from August 12?16, 2014, at the University of Paderborn, Paderborn, Germany.

The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications.

Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

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