Results 21 to 30 of about 37,887 (268)
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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A note on Dirichlet characters [PDF]
Mathematics of Computation, 1973 Denoting by r ( k , m , p ) r(k,m,p) the first occurrence of m consecutive kth power residues of a prime p ≡ 1 ( mod k ) p \equiv 1 \pmod k , we show that r ( k ...
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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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The second moment of Dirichlet twists of Hecke $L$-functions [PDF]
, 2009 Fix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$, what is the average behavior of the square of the central value of this $L ...
Gao, Peng +2 more
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On the equation F(nᵏ-1) = D [PDF]
Notes on Number Theory and Discrete MathematicsWe prove that if F is a completely multiplicative function and k∈{2,3} such that the equation F(nᵏ-1) = 1 holds for every n∈ℕ, n>1, then F is the identity function.
I. Kátai, B. M. M. Khanh, B. M. Phong
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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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A note on multiplicative automatic sequences, II [PDF]
, 2019 We prove that any $q$-automatic multiplicative function $f:\mathbb{N}\to\mathbb{C}$ either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large primes. This confirms a strong form of a conjecture of J. Bell, N.
Klurman, Oleksiy, Kurlberg, Pär
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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 L ( s , χ ) L(s,\chi ) has a functional equation if the character χ \chi is primitive. This note proves the converse result.
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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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