Value And Distribution

Mr Dobb examines the history of economic thought in the light of the modern controversy over capital theory and, more particularly, the appearance of Sraffa's book The Production of Commodities by Means of Commodities, which was a watershed in the critical discussions constituted a crucial turning-point in the history of economics: an estimate not unconnected with his reinterpretation of nineteenth-century economic thought as consisting of two streams or traditions commonly confused under the generic title of 'the classical tradition' against which Jevons so strongly reacted.

This book looks at the value and distribution debates on the theories of Adam Smith. A variety of the aspects of his work are covered in this book such as his labour command measure, as are a number of interpretations and criticisms.

This monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution as well as a valuable reference for research specialists. Authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its number theoretic digressions These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.

It is well known that solving certain theoretical or practical problems often depends on exploring the behavior of the roots of an equation such as (1) J(z) = a, where J(z) is an entire or meromorphic function and a is a complex value. It is especially important to investigate the number n(r, J = a) of the roots of (1) and their distribution in a disk Izl ~ r, each root being counted with its multiplicity. It was the research on such topics that raised the curtain on the theory of value distribution of entire or meromorphic functions. In the last century, the famous mathematician E. Picard obtained the pathbreaking result: Any non-constant entire function J(z) must take every finite complex value infinitely many times, with at most one excep tion. Later, E. Borel, by introducing the concept of the order of an entire function, gave the above result a more precise formulation as follows. An entire function J (z) of order A( 0 A

The book presents a rigorous reconstruction of Ricardo's contribution to economic theory and a unifying interpretation of the key issues of Ricardo's research. Part One deals primarily with the problems of value and distribution Part Two deals specifically with the issues of distribution and growth. * Contemporary economic literature in the fields of value, distribution and growth is witnessing a renewed interest in the approach of the classical school, notably in the work of David Ricardo.

This new volume explores two alternative economic theories - the classical theory and the marginalist or neoclassical theory- through a discussion between two eminent economists, Pierangelo Garegnani and Paul Samuelson. The key themes of the volume are the difference in approaches to the explanation of the distribution of income and relative prices, and therefore different approaches to all other economic problems, in particular capital accumulation and economic growth. The book discusses whether there is a 'classical' approach to the theory of value and distribution at the core of economic theory that is fundamentally different from the later marginalist or neoclassical theory. In the volume, the late Pierangelo Garegnani argues for the validity of Piero Sraffa's position on this issue, whilst the late noble laureate Paul Samuelson vehemently contests it. At a time of economic crisis, the future of the discipline is far from certain, and so it is extremely important to bring these debates back into the light, by reproducing them together for the first time. A comprehensive introduction by Heinz Kurz sets the debate in this context, and provides crucial background to the arguments.

These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.

This book explores some of the most important themes in neo-Ricardian economics. It explores the many contributions of Pierangelo Garengnani to modern economics, including his work in capital theory, the theory of effective demand and stability analysis. Contributors include Paul Samuelson, John Eatwell, Murray Milgate, Edward Nell, Alessandro Roncaglia and Ian Steedman.