A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem

J. Pintz

Type: Article

Publication Date: 2023-01-01

Citations: 2

DOI: https://doi.org/10.4064/aa220728-31-3

Abstract

We prove an approximative formula for the contribution of the major arcs for the Goldbach decomposition of even numbers. The formula does not necessarily give an asymptotic but it expresses the contribution of the major arcs with the aid of a bounded numb

Locations

Acta Arithmetica - View - PDF

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+	Multiplicative Number Theory	1980	H. Davenport
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+	On Goldbach's Problem : Proof that Almost all Even Positive Integers are Sums of Two Primes	1938	T. Estermann
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
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+ PDF Chat	On Linnik’s approximation to Goldbach’s problem. II	2020	J. Pintz Imre Z. Ruzsa