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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
On the Theory of Maass Wave Forms
This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field. Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and ...
Writing the Breakout Novel
Take your fiction to the next level! Maybe you're a first-time novelist looking for practical guidance. Maybe you've already been published, but your latest effort is stuck in mid-list limbo. Whatever the case may be, author and literary agent Donald Maass can show you how to take your prose to the next level and write a breakout novel - one that rises out of obscurity and hits the best-seller lists. Maass details the elements that all breakout novels share - regardless of genre - then shows you writing techniques that can make your own books stand out and succeed in a crowded marketplace. You'll learn to: • establish a powerful and sweeping sense of time and place • weave subplots into ...
Love Thy Neighbor
An up-close account of the devastating conflict in Bosnia, 1992-3
The Conference on L-Functions
This invaluable volume collects papers written by many of the world''s top experts on L -functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole. The contributions reflect the latest, most advanced and most important aspects of L- functions. In particular, it contains Hida''s lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng''s detailed account of his works on high rank zeta functions and non-abelian L -functions. Sample Chapter(s). Chapter 1: Quantum Maass Forms (435 KB). Contents: Quantum Maass Forms (R Brugge...
The Emotional Craft of Fiction
Engage Your Readers with Emotion While writers might disagree over showing versus telling or plotting versus pantsing, none would argue this: If you want to write strong fiction, you must make your readers feel. The reader's experience must be an emotional journey of its own, one as involving as your characters' struggles, discoveries, and triumphs are for you. That's where The Emotional Craft of Fiction comes in. Veteran literary agent and expert fiction instructor Donald Maass shows you how to use story to provoke a visceral and emotional experience in readers. Topics covered include: • emotional modes of writing • beyond showing versus telling • your story's emotional world • moral stakes • connecting the inner and outer journeys • plot as emotional opportunities • invoking higher emotions, symbols, and emotional language • cascading change • story as emotional mirror • positive spirit and magnanimous writing • the hidden current that makes stories move Readers can simply read a novel...or they can experience it. The Emotional Craft of Fiction shows you how to make that happen.
The Theory of Hardy's Z-Function
Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H. Hardy to show that ζ(s) has infinitely many zeros of the form 1⁄2+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line 1⁄2+it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications; among others it is used for extensive calculations regarding the zeros of ζ(s). This comprehensive account covers many aspects of Z(t), including the distribution of its zeros, Gram points, moments and Mellin transforms. It features an extensive bibliography and end-of-chapter notes containing comments, remarks and references. The book also provides many open problems to stimulate readers interested in further research.
