Some identities involving the Dirichlet L-function
نویسندگان
چکیده
منابع مشابه
Some Identities Involving Convolutions of Dirichlet Characters and the Möbius Function
In this paper we present some identities involving convolutions of Dirichlet characters and the Möbius function, which are related to a well known identity of Ramanujan, Hardy and Littlewood.
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For any positive integer n and fixed integer t ≥ 1, we define function Ut(n) = min{k : 1 t + 2 t + · · · + n t + k = m, n | m, k ∈ N + , t ∈ N + }, where n ∈ N + , m ∈ N + , which is a new pseudo Smarandache function. The main purpose of this paper is using the elementary method to study the properties of Ut(n), and obtain some interesting identities involving function Ut(n). In reference [1], ...
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The representation of sums in closed form can in some cases be achieved through a variety of different methods, including transform techniques, W–Z methods, Riordan arrays and integral representations. The interested reader is referred to the works of Egorychev [2], Gould [3], Merlini, Sprugnoli and Verri [4], Petkovšek, Wilf and Zeilberger [5] and Sofo [6], [7] and [8]. Recently Diaz-Barrero e...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2007
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa130-2-5