[PDF] ON A CERTAIN NONARY CUBIC FORM AND RELATED EQUATIONS



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ON A CERTAIN NONARY CUBIC FORM AND RELATED EQUATIONS

Introduction In analytic number theory there are many situations in which, for certain ex- (1 8) with the variables constrained to lie in a homoth-etically



A Note on Equilibrium Pricing as Convex Optimization

et al [10] generalized Eisenberg and Gale’s convex model to handling homoth-etic and quasi-concave utilities introduced by Friedman [8] Here, polynomial time means that one can compute an † approximate equilibrium in a number of arithmetic operations bounded by polynomial in n and log 1 †; or, if there is a



International Trade, Income Distribution and Welfare

1 Introduction Models of international trade have traditionally used richness/heterogeneity on the supply side to gain insight into why countries trade and the likely implications of integration Any heterogeneity on the demand side is usually suppressed by imposing identical and homoth-etic preferences on consumers



On the Burau representation modulo a small prime

Thus we have shown that the only such A have constant entries up to homoth-ety In particular, they are unchanged by setting t = 1, so that stab J(I) can be regarded as a subgroup of the finite group GL(3,Z p), completing the proof This has the immediate corollary: Corollary 1 4 For every vertex v ∈ ∆, stab J(v) is a finite group



Proofs of some classical theorems in minimal surface theory

1 Introduction We will give simple elementary proofs of the following well-known fundamental results in classical minimal surface theory The last of these theorems, Theorem 6, is new Theorem 1 (Osserman [9], Chern and Osserman [1]) Suppose is a complete connected oriented minimal surface in Rn with nite total Gaussian curvature C() = R KdA



NBER WORKING PAPER SERIES GENERALIZED DISAPPOINTMENT AVERSION

1 Introduction The observed facts of aggregate risks and asset prices in the post-war US econ-omy have led researchers to explore models of intertemporal preferences that generalize the well-developed time-additive-expected-utility specification used in the asset-pricing economy of Lucas (1978) In particular, models that al-



ETH Z

Summary In an era of ever-increasing economic integration, a consistent theoretical framework can help guide and understand policies with international implications The present t

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