Some Arithmetic Sums Connected With the Greatest Integer Function.
نویسندگان
چکیده
منابع مشابه
Bounding sums of the Möbius function over arithmetic progressions
Let M(x) = ∑ 1≤n≤x μ(n) where μ is the Möbius function. It is well-known that the Riemann Hypothesis is equivalent to the assertion that M(x) = O(x1/2+ ) for all > 0. There has been much interest and progress in further bounding M(x) under the assumption of the Riemann Hypothesis. In 2009, Soundararajan established the current best bound of M(x) √ x exp ( (log x)(log log x) ) (setting c to 14, ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1960
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10592