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An introduction to the analytic theory of automorphic forms, limited to the case of fuchsian groups, but from the point of view of the general theory, ending with an... Læs mere
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The author continues his outstanding scholarly attempt to bring together all significant mathematical constants in one place. Using this book, students and professionals will... Læs mere
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The authors combine rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into some of the most profound results of... Læs mere
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Written in honor of Peter L. Montgomery, this book surveys his many contributions to computational number theory and cryptography. For... Læs mere
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Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers... Læs mere
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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
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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
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Hilbert's Tenth Problem - to find an algorithm to determine whether a polynomial equation in several variables with integer... Læs mere
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Recent years have seen a flurry of advances in Fourier restriction theory, with significant applications in number theory, PDEs and geometric analysis.... Læs mere
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Aimed at advanced students and active researchers in mathematics or theoretical physics, this book provides a detailed exposition of automorphic forms and representations, from the basics up to cutting-edge research topics at the interface between number theory and string theory.
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This self-contained book introduces discrete harmonic analysis with an emphasis on the Discrete Fourier... Læs mere
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This book records in considerable detail the remarkable bounded prime gaps breakthroughs of recent decades, including... Læs mere