منابع مشابه
On the Means of the Values of Prime Counting Function
In this paper, we investigate the means of the values of prime counting function $pi(x)$. First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of the ratio of them.
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چکیده ندارد.
15 صفحه اولThe Additive Dilogarithm
A notion of additive dilogarithm for a field k is introduced, based on the K-theory and higher Chow groups of the affine line relative to 2(0). Analogues of the K2-regulator, the polylogarithm Lie algebra, and the `-adic realization of the dilogarithm motive are discussed. The higher Chow groups of 0-cycles in this theory are identified with the Kähler differential forms Ωk. It is hoped that th...
متن کاملSpecial Values of Multiple Polylogarithms
Historically the polylogarithm has attracted specialists and non specialists alike with its lovely evaluations Much the same can be said for Euler sums or multiple harmonic sums which within the past decade have arisen in combinatorics knot theory and high energy physics More recently we have been forced to consider multidimensional extensions encompassing the classical polylogarithm Euler sums...
متن کاملSpecial Values of Multidimensional Polylogarithms
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot 1 theory and high-energy physics. More recently, we have been forced to consider mul-tidimensional extensions encompassing the classical polylogarit...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1984
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-43-2-155-166