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Distribution of primes

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  • Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in Göttingen on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.

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  • The distribution of special subsets of positive integers is a central topic of research in analytic number theory. In this paper we present a survey of recent progress on the distribution of B-free numbers in short intervals and some of its applications.

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  • Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.

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  • Prelude multiplicative functions, Introduction to sieve methods, Interlude probabilistic number theory, The combinatorial sieve, Some applications of sieve methods, Gaps between primes, Irregularities in the distribution of primes,... As the main contents of the document "Sieve methods". Invite you to consult.

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  • part 2 book “number theory - an introduction to mathematics” has contents: the arithmetic of quadratic forms, the geometry of numbers, the number of prime numbers, a character study, uniform distribution and ergodic theory, elliptic functions, connections with number theory.

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  • Th e prime objective for writing the fi rst edition of this book was to provide an up-to-date text at a reasonable cost. We also felt that there was a signifi cant gap in the literature for a book that off ered a broad strategic framework as well as a clear and straightforward description of the basic functions and elements related to logistics and distribution. In the second edition of the book, published in 2000, we provided a signifi cant revision of the original text.

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  • The prime objective of the current research study is to develop a comprehensive framework for e-logistics customer satisfaction.

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  • In this paper, we introduce a D-H key distribution protocol over polynomial rings. These protocols use some polynomials with two cyclomic cosets in the center of the ring as part of the private keys. We give some examples over the polynomial rings Zp, where p is a prime number. We also give a security analysis of the proposed protocols and conclude that the only possible attack is by brute force.

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  • Rainfall is a prime input for various engineering design such as hydraulic structures, water conservation structures, bridges and culverts, canals, storm water sewer and road drainage system. The detailed statistical analysis of each region is essential to estimate the relevant input value for design and analysis of engineering structures and also for crop planning. The present study comprises statistical analysis i.e. frequency analysis of daily maximum rainfall data of Udaipur district.

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  • During the 21st century adoption of electric motor for irrigation operation will be much more resulting a sharp rise in demand for electricity. The electricity requirement for planning, design and operation of irrigation and water resources systems is necessary. It is a parameter of prime importance in formulating the policy for distribution of electricity as well as decision making in day by day operation and management of electricity distribution network. The study was done for the year 2010-11.

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  • Land development is one of the prime components of sustainable farming. Unevenness of agricultural fields leads to the in-efficient use of irrigation water, which in turn reduces the yield and farm income. Levelling index, which is a dynamic factor, determines the quality and accuracy of land levelling. Land development/levelling is having enormous impact on moisture storage and distribution in the field both spatially and temporally, crop growth, yields and irrigation water saving.

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  • The time required to reach other planets makes planetary surface exploration missions prime targets for automation. Sending rovers to other planets either instead of or together with people can also significantly reduce the danger and cost involved. Teams of rovers are both more fault tolerant (through redundancy) and more efficient (through parallelism) than single rovers if the rovers are coordinated well

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  • Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 131240, 14 pages doi:10.1155/2011/131240 Research Article Size of Convergence Domains for Generalized Hausdorff Prime Matrices T. Selmanogullari,1 E. Savas,2 and B. E. Rhoades3 ¸ 1 2 Department of Mathematics, Mimar Sinan Fine Arts University, Besiktas, 34349 Istanbul, Turkey Department of Mathematics, Istanbul Commerce University, Uskudar, 34672 Istanbul, Turkey 3 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA Correspondence should be addressed to T.

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  • The prime objective of this research is Assess the impacts of feed and fodder development programmes on livestock farmers of North Karnataka of Belagavi, Baglkote and Gadag district. All the feed and fodder development programmes implemented in study districts for the period 2007-2016 were taken for the study. The programmes are; Fodder minikits distribution, Trainings and demonstrations on feed and fodder, azolla and silage making, Chaff cutter distribution and Fodder banks and Goshalas (Cow shelters).

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  • Prior to the US Securities Acts contractual uses of accounting ("stewardship") were considered the prime reasons for the calculation of accounting earnings. For example, Leake (1912, pp. 1-2) lists management's requirement to ascertain and distribute earnings according to the differential rights of the various classes of capital and profit sharing schemes as the leading two reasons for calculating earnings (other reasons given by Leake are income taxes and public utility regulation).

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  • This paper presented implementation of the Chebyshev permutation polynomials on hardware. The experimental results demonstrate that this is an efficient way to calculate the Chebyshev polynomials in a prime field. According to the hardware structure of the Chebyshev polynomial, a Hybrid-Key Agreement Protocol is proposed. The purpose of our protocol is to enable two end-users exchanging a secret session key using both the key distribution center and the Chebyshev-based public key encryption.

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