Results 11 to 20 of about 2,002 (253)
Multiple Lucas–Dirichlet Series Associated With Additive and Dirichlet Characters [PDF]
Mediterranean Journal of Mathematics, 2021 20 ...
N. K. Meher, S. S. Rout
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Exceptional characters and nonvanishing of Dirichlet L-functions [PDF]
Mathematische Annalen, 2021 Let $ψ$ be a real primitive character modulo $D$. If the $L$-function $L(s,ψ)$ has a real zero close to $s=1$, known as a Landau-Siegel zero, then we say the character $ψ$ is exceptional. Under the hypothesis that such exceptional characters exist, we prove that at least fifty percent of the central values $L(1/2,χ)$ of the Dirichlet $L$-functions $L(s,
Hung M. Bui +2 more
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A generalization of Menon’s identity with Dirichlet characters [PDF]
International Journal of Number Theory, 2018 The classical Menon’s identity [P. K. Menon, On the sum [Formula: see text], J. Indian Math. Soc.[Formula: see text]N.S.[Formula: see text] 29 (1965) 155–163] states that [Formula: see text] where for a positive integer [Formula: see text], [Formula: see text] is the group of units of the ring [Formula: see text], [Formula: see text] represents the ...
Li, Yan, Hu, Xiaoyu, Kim, Daeyeoul
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Dirichlet characters of the rational polynomials
AIMS Mathematics, 2022 <abstract><p>Denote by $ \chi $ a Dirichlet character modulo $ q\geq 3 $, and $ \overline{a} $ means $ a\cdot\overline{a} \equiv 1 \bmod q $. In this paper, we study Dirichlet characters of the rational polynomials in the form</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \sum\limits ...
Wenjia Guo, Xiaoge Liu, Tianping Zhang
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Taxi Hot Area Function Discovery Based on Passenger Data [PDF]
Jisuanji gongcheng, 2017 According to the passenger movement pattern and the hot pick-up and drop-off areas extracted from taxi driving passenger data,this paper proposes a functions discovery method of taxi hot areas.Firstly,it uses taxi driving data clustering algorithm based ...
SUN Guandong,ZHANG Bing,LIU Yuqian,XIONG Yun
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Dirichlet 𝐿-functions and primitive characters [PDF]
Proceedings of the American Mathematical Society, 1972 It is well known that a Dirichlet L L -function
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Counting certain quadratic partitions of zero modulo a prime number
Open Mathematics, 2021 Consider an odd prime number p≡2(mod3)p\equiv 2\hspace{0.3em}\left(\mathrm{mod}\hspace{0.3em}3). In this paper, the number of certain type of partitions of zero in Z/pZ{\mathbb{Z}}\hspace{-0.1em}\text{/}\hspace{-0.1em}p{\mathbb{Z}} is calculated using a ...
Xiao Wang, Li Aihua
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On Dirichlet characters of polynomials [PDF]
Acta Arithmetica, 1984 In this paper our objective is to investigate the distribution of \(x\) such that \(\chi(f(x)) \ne 1\), where \(f\) is a fixed polynomial belonging to \(\mathbb Z[x]\) and \(\chi\) is a Dirichlet character of order \(q \bmod p\).
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Upper bound estimate of incomplete Cochrane sum
Open Mathematics, 2017 By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
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A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
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