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標題: Titlebook: Surveys in Number Theory; Krishnaswami Alladi Book 2008 Springer-Verlag New York 2008 Complex analysis.Ramanujan‘s Lost Notebook.Weyl char [打印本頁]

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Developments in Mathematicshttp://image.papertrans.cn/t/image/882693.jpg
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https://doi.org/10.1007/978-0-387-78510-3Complex analysis; Ramanujan‘s Lost Notebook; Weyl character formulas; calculus; maass forms; mock theta f
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Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook,a and Guinand’s formula, both connected with the functional equation of nonanalytic Eisenstein series, and both discovered by these authors several years after Ramanujan’s death. Other formulas, including one by K. Soni and two particularly elegant new results, are also stated without proof by Raman
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Theta Functions in Complex Analysis and Number Theory,s to use identities among theta functions to deduce either useful number-theoretic information related to representations as sums of squares and triangular numbers, statements concerning congruences, or statements concerning partitions of sets of integers. In complex analysis the main utility is in
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Inverse Problems for Representation Functions in Additive Number Theory,group X, counts the number of ways an element of X can be written as the sum (or product, if X is nonabelian) of h not necessarily distinct elements of X. The direct problem for representation functions in additive number theory begins with a subset A of X and seeks to understand its representation
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Elliptic Functions and Transcendence,. Even when one is interested only in numbers like π and . that are related to the classical exponential function, it turns out that elliptic functions are required (so far, this should not last forever!) to prove transcendence results and get a better understanding of the situation. First we briefl
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Theta Functions in Complex Analysis and Number Theory,gular numbers, statements concerning congruences, or statements concerning partitions of sets of integers. In complex analysis the main utility is in the theory of compact Riemann surfaces, with which we do not deal. We do show how identities among theta functions yield proofs of Picard’s theorem and a conformal map of the rectangle onto the disk.
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Bruce C. Berndt,Yoonbok Lee,Jaebum Sohnng-term director of the American Institute of Physics.Gives This collection of essays traces a scientific journey bookmarked by remarkable mentors and milestones of science. It provides fascinating reading for everyone interested in the history, public appreciation, and value of science, as well as
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Hershel M. Farkasolution to the . with respect to alternative hypotheses, it should be conceded that that principle does not appear promising as a solution to the . within the context of normative epistemology. According to its precepts, the data . supports an hypothesis . better than it supports an hypothesis . so
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Melvyn B. Nathansonon .happens to know at a specific time ., where that same person . at different times ., .,…, and different persons .,.,…, at that same time . may perfectly properly “happen to know” different sets of propositions (or beliefs). The most important feature distinguishing one theory of knowledge from a
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Ken Onoy; certainly, at the very least, it serves to delineate the difference between the . approach reflected already by the Platonic dialogues, which history thus records as Socrates’ enduring contribution to philosophy, the . approach of the Milesian “nature” philosophers and even the . approach of the
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Michel Waldschmidty; certainly, at the very least, it serves to delineate the difference between the . approach reflected already by the Platonic dialogues, which history thus records as Socrates’ enduring contribution to philosophy, the . approach of the Milesian “nature” philosophers and even the . approach of the
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1389-2177 esville, 2004-2005, and describe major progress on a broad range of topics...This volume is intended for mathematicians and graduate students interested in number theory and related areas..978-1-4419-2689-0978-0-387-78510-3Series ISSN 1389-2177 Series E-ISSN 2197-795X
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Hershel M. Farkasmay possess . relative to . at any particular time: if innumerable hypotheses,.,.,..., for example, all entail that data, then they will all be supported by that evidence with likelihoods of one, which, of course, confer upon each of them not only maximum likelihoods as the . (in the comparative sen
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Book 2008dt)...All of the surveys were outgrowths of featured talks given during the Special Year in Number Theory and Combinatorics at the University of Florida, Gainesville, 2004-2005, and describe major progress on a broad range of topics...This volume is intended for mathematicians and graduate students interested in number theory and related areas..
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1615-1844 tional scientists.Also available online in www.springerlink..The present volume in the New Series of Landolt-B?rnstein provides critically evaluated data on phase diagrams, crystallographic and thermodynamic data of ternary alloy systems. Reliable phase diagrams provide materials scientists and engi
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Advances in Decision Making Under Risk and Uncertainty978-3-540-68437-4Series ISSN 0924-6126 Series E-ISSN 2194-3044
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