Titlebook: Goldbach’s Problem; Selected Topics Michael Th. Rassias Book 2017 Springer International Publishing AG 2017 Goldbach’s conjecture.Hardy-Li

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https://doi.org/10.1007/978-3-319-57914-6Goldbach’s conjecture; Hardy-Littlewood circle method; Prime Number Theorem; Vaughan’s proof; Vinogrado

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陶醉

反馈

https://doi.org/10.1007/978-3-031-32935-7In the first section, we begin with some lemmas and theorems which will be useful in presenting a step-by-step proof of Vinogradov’s theorem, which states that there exists a natural number ., such that every odd positive integer ., with ., can be represented as the sum of three prime numbers. The experienced reader may wish to skip this section.

渗入

,Link design — electronic considerations,In this chapter, we present the result of H. Maier and M. Th. Rassias [37] that under the assumption of the Generalized Riemann Hypothesis each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes.

渗入

Ray A. Waller,Vincent T. CovelloIn this chapter we provide an outline of the proof of Schnirelmann’s theorem which states that there exists a positive integer ., such that every integer greater than 1 can be represented as the sum of at most . prime numbers.

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Introduction,In 1742 C. Goldbach, in two letters sent to L. Euler, formulated two conjectures. The first conjecture stated that every even integer can be represented as the sum of two prime numbers, and the second one, that every integer greater than 2 can be represented as the sum of three prime numbers.

保守

,Step-by-Step Proof of Vinogradov’s Theorem,In the first section, we begin with some lemmas and theorems which will be useful in presenting a step-by-step proof of Vinogradov’s theorem, which states that there exists a natural number ., such that every odd positive integer ., with ., can be represented as the sum of three prime numbers. The experienced reader may wish to skip this section.

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