Titlebook: Open Problems in Mathematics; John Forbes Nash, Jr.,Michael Th. Rassias Book 2016 Springer International Publishing Switzerland 2016 John

纤细

,The Hadwiger–Nelson Problem,this problem and chose it for the present book. In this chapter we will discuss this problem, its history and generalizations, several of the many related open problems, and the state of the art results.

善辩

,Goldbach’s Conjectures: A Historical Perspective,ciated questions have attracted many mathematicians over the years, and have lead to a range of powerful techniques with many applications. This article is a commentary on the historical developments, the underlying key ideas and their widespread influence on a variety of central questions.

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Coma704

From Quantum Systems to ,-Functions: Pair Correlation Statistics and Beyond,to the discovery of the connections and progress towards understanding the behaviors. In our survey of these two areas, we describe the common mathematics that explains the remarkable universality. We conclude with some thoughts on what might lie ahead in the pair correlation of zeros of the zeta function, and other similar quantities.

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vanced graduate courses and seminars as well as for research.The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary re

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John Forbes Nash, Jr.,Michael Th. RassiasSelf-contained presentation of methods, theory, and results related to some of the most important open problems in mathematics.Useful for advanced graduate courses and seminars as well as for research

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The Discrete Logarithm Problem,ecurity of certain cryptosystems is based on the difficulty of this computation. In this expository paper we discuss several generalizations of the discrete logarithm problem and we describe various algorithms to compute discrete logarithms.

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