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Author: Jack Broccoli
Publisher: Austin Macauley Publishers
ISBN: 1647501148
Category : Fiction
Languages : en
Pages : 305
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Book Description
Over lunch, Dr Jack Broccoli learns from Dr Larry Faber, a friend from medical school, about an amazing drug he has developed called Ambrotine. It seems that it reverses aging and cures almost any disease. Larry needs experimental subjects, so Jack volunteers some of his own nursing home patients and the results are positive beyond all expectations. There are however, a few unexpected side effects. Jack finds himself in trouble with his licensing authority and on the run from Pharmex, a ruthless drug company interested in the enormous financial promise of the drug. He also has problems caused by his generous desire to be of service to womankind. He falls in love with Karen but has to flee with her to an undisclosed location as a craze for Ambrotine sweeps the world…
Author: Jack Broccoli
Publisher: Austin Macauley Publishers
ISBN: 1647501148
Category : Fiction
Languages : en
Pages : 305
Get Book
Book Description
Over lunch, Dr Jack Broccoli learns from Dr Larry Faber, a friend from medical school, about an amazing drug he has developed called Ambrotine. It seems that it reverses aging and cures almost any disease. Larry needs experimental subjects, so Jack volunteers some of his own nursing home patients and the results are positive beyond all expectations. There are however, a few unexpected side effects. Jack finds himself in trouble with his licensing authority and on the run from Pharmex, a ruthless drug company interested in the enormous financial promise of the drug. He also has problems caused by his generous desire to be of service to womankind. He falls in love with Karen but has to flee with her to an undisclosed location as a craze for Ambrotine sweeps the world…
Author: Jack Broccoli
Publisher: Austin Macauley
ISBN: 9781647501136
Category :
Languages : en
Pages : 238
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Book Description
Over lunch, Dr Jack Broccoli learns from Dr Larry Faber, a friend from medical school, about an amazing drug he has developed called Ambrotine. It seems that it reverses aging and cures almost any disease. Larry needs experimental subjects, so Jack volunteers some of his own nursing home patients and the results are positive beyond all expectations. There are however, a few unexpected side effects. Jack finds himself in trouble with his licensing authority and on the run from Pharmex, a ruthless drug company interested in the enormous financial promise of the drug. He also has problems caused by his generous desire to be of service to womankind. He falls in love with Karen but has to flee with her to an undisclosed location as a craze for Ambrotine sweeps the world...
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Author: Weng Lin
Publisher: World Scientific
ISBN: 9813230665
Category : Mathematics
Languages : en
Pages : 556
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Book Description
This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands' theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur's analytic truncations and parabolic reductions of Harder–Narasimhan and Atiyah–Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis. In addition, two levels of the distributions for their zeros are exposed, i.e. a classical one giving the Dirac symbol, and a secondary one conjecturally related to GUE. This book is written not only for experts, but for graduate students as well. For example, it offers a summary of basic theories on Eisenstein series and stability of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel type treatment of cusps and fundamental domains, and an elementary approach to the trace formula involved. Being in the junctions of several branches and advanced topics of mathematics, these works are very complicated, the results are fundamental, and the theory exposes a fertile area for further research. Contents: Non-Abelian Zeta Functions Rank Two Zeta Functions Eisenstein Periods and Multiple L-Functions Zeta Functions for Reductive Groups Algebraic, Analytic Structures and Rieman Hypothesis Geometric Structures and Riemann Hypothesis Five Essays on Arithmetic Cohomology Readership: Graduate students and researchers in the theory of zeta functions. Keywords: Zeta Function;Riemann Hypothesis;Stability;Lattice;Fundamental Domain;Reductive Group;Root System;Eisenstein Series;Truncation;Arithmetic Principal Torsor;Adelic CohomologyReview: Key Features: Genuine zeta functions for reductive groups over number fields are introduced and studied systematically, based on (i) fine parabolic structures and Lie structures involved, (ii) a new stability theory for arithmetic principal torsors over number fields, and (iii) trace formula via a geometric understanding of Arthur's analytic truncations For the first time in history, we prove a weak Riemann hypothesis for zeta functions of reductive groups defined over number fields Not only the theory is explained, but the process of building the theory is elaborated in great detail
Author: Harry Reimann
Publisher: Springer
ISBN: 354068414X
Category : Mathematics
Languages : en
Pages : 152
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Book Description
This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.
Author: Yasushi Komori
Publisher: Springer Nature
ISBN: 9819909104
Category : Mathematics
Languages : en
Pages : 419
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Book Description
The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell–Tornheim multiple zeta-functions, and Euler–Zagier multiple zeta-functions. Zeta-functions of root systems are defined by certain multiple series, given in terms of root systems. Therefore, they intrinsically have the action of associated Weyl groups. The exposition begins with a brief introduction to the theory of Lie algebras and root systems and then provides the definition of zeta-functions of root systems, explicit examples associated with various simple Lie algebras, meromorphic continuation and recursive analytic structure described by Dynkin diagrams, special values at integer points, functional relations, and the background given by the action of Weyl groups. In particular, an explicit form of Witten’s volume formula is provided. It is shown that various relations among special values of Euler–Zagier multiple zeta-functions—which usually are called multiple zeta values (MZVs) and are quite important in connection with Zagier’s conjecture—are just special cases of various functional relations among zeta-functions of root systems. The authors further provide other applications to the theory of MZVs and also introduce generalizations with Dirichlet characters, and with certain congruence conditions. The book concludes with a brief description of other relevant topics.
Author: Enrique Artal-Bartolo
Publisher: American Mathematical Soc.
ISBN: 0821838768
Category : Fonctions zêta
Languages : en
Pages : 98
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Book Description
Intends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension
Author: Takashi Aoki
Publisher: Springer Science & Business Media
ISBN: 0387249818
Category : Mathematics
Languages : en
Pages : 219
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Book Description
This volume contains papers by invited speakers of the symposium "Zeta Functions, Topology and Quantum Physics" held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to establish mutual understanding and to exchange ideas among researchers working in various fields which have relation to zeta functions and zeta values. We are very happy to add this volume to the series Developments in Mathematics from Springer. In this respect, Professor Krishnaswami Alladi helped us a lot by showing his keen and enthusiastic interest in publishing this volume and by contributing his paper with Alexander Berkovich. We gratefully acknowledge financial support from Kinki University. We would like to thank Professor Megumu Munakata, Vice-Rector of Kinki University, and Professor Nobuki Kawashima, Director of School of Interdisciplinary Studies of Science and Engineering, Kinki Univ- sity, for their interest and support. We also thank John Martindale of Springer for his excellent editorial work.
Author: Andreas Juhl
Publisher: Birkhäuser
ISBN: 3034883404
Category : Mathematics
Languages : en
Pages : 712
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Book Description
Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were suggested by an analogy between Weil's explicit formula for the Riemann zeta function and Selberg's trace formula ([261]). The purpose of the cohomological theory is to understand the analytical properties of the zeta functions on the basis of suitable analogs of the Lefschetz fixed point formula in which periodic orbits of the geodesic flow take the place of fixed points. This approach is parallel to Weil's idea to analyze the zeta functions of pro jective algebraic varieties over finite fields on the basis of suitable versions of the Lefschetz fixed point formula. The Lefschetz formula formalism shows that the divisors of the rational Hassc-Wcil zeta functions are determined by the spectra of Frobenius operators on l-adic cohomology.
Author: Jürgen Fischer
Publisher: Springer
ISBN: 3540393315
Category : Mathematics
Languages : en
Pages : 188
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Book Description
The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula.
