Titlebook: Diophantine Approximation and Dirichlet Series; Hervé Queffélec,Martine Queffélec Book 20131st edition Hindustan Book Agency (India) 2013

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,Ergodic theory and Kronecker’s theorems,Measure theory, sometimes, brings out the existence of specific elements by giving positive measure to the set of such objects. For want of anything better, it can also be used in the number-theoretical framework to produce classifications of real numbers through their expansions. Ergodic theory will play a role in this purpose.

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Diophantine approximation,Throughout this chapter, [.] denotes the integral part and {.} the fractional part of the real number . so that . = [.] + {.}; moreover we shall use the notation ‖.‖ for the closest distance of . to an element of ℤ.

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Voronin type theorems,In this introductory section, we begin by fixing some notations, recalling some basic facts on Dirichlet characters ([.], Chapter 5), and presenting the main results to be discussed. The techniques (hilbertian spaces of analytic functions, ergodic theorems) are a good illustration of the material introduced in the previous chapters.

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Non-linear Incentive Equilibrium Strategies for a Transboundary Pollution Differential Game,tic transboundary pollution differential game. The incentive strategies are constructed in such a way that in the long run the pollution stock (the state variable) is close to the steady state of the pollution stock under the cooperative mode of play. The non-linear incentive functions depend on the

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Summarizing Development Divide in Districts of India,attern of sex ratio, estimated singulate mean age at marriage that depict demographic divide in districts of India.These demographic divide are associated with educational, heath and economic inequality among districts of India. The demographic and development divide are equally high within and amon