Recent progress with the Dirichlet problem
نویسندگان
چکیده
منابع مشابه
Recent Progress on the Dirichlet Divisor Problem and the Mean Square of the Riemann Zeta-function
Let ∆(x) and E(t) denote respectively the remainder terms in the Dirichlet divisor problem and the mean square formula for the Riemann zeta-function on the critical line. This article is a survey of recent developments on the research of these famous error terms in number theory. These include upper bounds, Ω-results, sign changes, moments and distribution, etc. A few open problems will also be...
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The two conjectures are, of course, equivalent. If 2n — 2 = pi+p2, then 2n = pi+p2+2 and 2n + l = pi+p2+3Conversely, if 2n=pi -\-p2-\-pz one of the primes must be 2 and 2n — 2 = pi+p2. An impressive collection of numerical evidence indicating the truth of the conjectures has accumulated in the years since Goldbach's letter was written, but is it not known to this day whether the conjectures are...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1926
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1926-04267-1