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V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic... Læs mere
Recent years have seen a flurry of advances in Fourier restriction theory, with significant applications in number theory, PDEs and geometric analysis.... Læs mere
Hilbert's Tenth Problem - to find an algorithm to determine whether a polynomial equation in several variables with integer... Læs mere
Using the simple geometric idea of systematic paper folding, the authors of this 2010 book demonstrate the beauty of mathematics... Læs mere
Presents the state of the art in a range of topics such as Siegel modular forms, Hecke eigenvalues of Hilbert modular forms, Weil representations, Tannakian categories... Læs mere
Containing the latest research, this volume is essential for readers looking for a snapshot of current progress in polynomials and number theory. Contributions by leading... Læs mere
The only book entirely devoted to Joseph Liouville's elementary method in number theory, this gentle introduction explains his method in a clear and... Læs mere
Hodge theory lies at the heart of modern algebraic geometry and this volume explores the many contexts in which it arises,... Læs mere
A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian. While the present extent of the theory of these rings is vast, this book provides... Læs mere
A description of how non-commutative geometry could provide a means to attack the Riemann Hypothesis, one of the most... Læs mere
This graduate-level introduction describes a version of the sheaves-functions dictionary of Deligne, relating... Læs mere
Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers... Læs mere