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L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This ...Savoir plus
This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection wi...Savoir plus
The author presents the fundamentals of the ergodic theory of point transformations and several advanced topics of intense research. The study of dyna...Savoir plus
This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The ...Savoir plus
We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. Thi...Savoir plus
Lévy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the ma...Savoir plus
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra sys...Savoir plus
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies prov...Savoir plus
The study of combinatorial isoperimetric problems exploits similarities between discrete optimization problems and the classical continuous setting. B...Savoir plus
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebr...Savoir plus
The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdő...Savoir plus
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This ...Savoir plus
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. Thes...Savoir plus
The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main...Savoir plus
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, in...Savoir plus
Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the ...Savoir plus
Metric fixed point theory has proved a flourishing area of research for the past twenty-five years. This book offers the mathematical community an acc...Savoir plus
This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concer...Savoir plus
This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students enterin...Savoir plus
The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteri...Savoir plus
This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric ...Savoir plus
In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the rea...Savoir plus
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examp...Savoir plus
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to...Savoir plus