Results 1 to 10 of about 12,013 (148)
A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for it.
Jiayuan Hu, Yu Zhan, Qin Si
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Some identities and reciprocity relationsof unipoly-Dedekind type DC sums
Journal of Inequalities and Applications, 2021 Dedekind type DC sums and their generalizations are defined in terms of Euler functions and their generalization. Recently, Ma et al. (Adv. Differ. Equ. 2021:30 2021) introduced the poly-Dedekind type DC sums by replacing the Euler function appearing in ...
Hye Kyung Kim, Dae Sik Lee
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On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
Journal of Mathematics, 2021 The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to ...
Xiaoling Xu
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ON A SUM INVOLVING CERTAIN ARITHMETIC FUNCTIONS ON PIATETSKI–SHAPIRO AND BEATTY SEQUENCES
Проблемы анализа, 2022 Let 𝑐, 𝛼, 𝛽 ∈ R be such that ...
T. Srichan
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The Decomposition of a Finitely Generated Module over Some Special Ring
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module.
I Gede Adhitya Wisnu Wardhana
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The density of elliptic Dedekind sums
Acta Arithmetica, 2022 Elliptic Dedekind sums were introduced by R. Sczech as generalizations of classical Dedekind sums to complex lattices. We show that for any lattice with real $j$-invariant, the values of suitably normalized elliptic Dedekind sums are dense in the real numbers. This extends an earlier result of Ito for Euclidean imaginary quadratic rings.
Berkopec, Nicolas +4 more
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Reciprocity and the kernel of Dedekind sums
Research in Number Theory, 2023 9 pages, 2 ...
Alexis LaBelle +2 more
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Bazı Hardy Toplamları ve Ramanujan Toplamının Ortalama Değeri Hakkında Yeni Bağıntılar
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2020 Dedekind toplamı, Dedekind eta-fonksiyonunun dönüşüm formülünde doğal olarak ortaya çıkmıştır. Benzer şekilde, Hardy toplamlarına ise theta fonksiyonunun dönüşüm formüllerinde karşılaşılmıştır.
Muhammet Cihat DAĞLI
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Identities on poly-Dedekind sums
Advances in Difference Equations, 2020 Dedekind sums occur in the transformation behavior of the logarithm of the Dedekind eta-function under substitutions from the modular group. In 1892, Dedekind showed a reciprocity relation for the Dedekind sums.
Taekyun Kim +3 more
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