Results 41 to 50 of about 37,887 (268)
On the first power mean of L-functions with the weight of general Kloosterman sums
International Journal of Mathematics and Mathematical Sciences, 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
Zhang Wenpeng
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On multiplicative automatic sequences
, 2019 We show that any automatic multiplicative sequence either coincides with a Dirichlet character or is identically zero when restricted to integers not divisible by small primes. This answers a question of Bell, Bruin and Coons.
Konieczny, Jakub
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Improving Online Clustering of Chinese Technology Web News With Bag-of-Near-Synonyms
IEEE Access, 2020 In the Internet era, online clustering of technology web news can help discover scientific breakthroughs and grasp technology trends. To do that automatically, the news documents to be clustered must be represented appropriately with numerical vectors ...
Zhe Zhang +4 more
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Murmurations of Dirichlet Characters
International Mathematics Research NoticesAbstract We calculate murmuration densities for two families of Dirichlet characters. The first family contains complex Dirichlet characters normalized by their Gauss sums. Integrating the first density over a geometric interval yields a murmuration function compatible with experimental observations.
Lee, Kyu-Hwan +2 more
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A Plug‐and‐Play Volume Minimizing Micromixer
Advanced Science, EarlyView.ABSTRACT Microscale fluid mixing has numerous applications where rapid and efficient mixing is required, including drug discovery, bio‐analysis and point‐of‐care diagnostics. Conventional soft lithography processes, however, make the integration of robust and reliable mixing difficult to implement in practice, especially across different flow rates ...
Kirill Kolesnik +3 more
wiley +1 more source
Weyl-type hybrid subconvexity bounds for twisted $L$-functions and Heegner points on shrinking sets
, 2017 We prove a Weyl-type subconvexity bound for the central value of the $L$-function of a Hecke-Maass form or a holomorphic Hecke eigenform twisted by a quadratic Dirichlet character, uniform in the archimedean parameter as well as the twisting parameter. A
Young, Matthew P.
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Proton FLASH Exposure Preserves Gut Commensal Microbiomes and Spares Intestinal Stem Cells
Advanced Science, EarlyView.This study highlights the role of Proton FLASH abdominal irradiation in sparing of intestinal stem cells and preservation of key gut microbial population resulting minimization of radiation toxicity in intestinal epithelium in mice. Our findings support the potential of Proton FLASH to improve the therapeutic ratio for abdominal radiation exposure ...
Rishi Man Chugh +11 more
wiley +1 more source
Advanced Science, EarlyView.A nano‐plasma device enables watt‐level on‐chip THz generation through picosecond switching triggered by secondary electron emission avalanche. An ultra‐dense electron sheet initiates nano‐plasma formation within a ∼100 nm gap, driving rapid energy release into an integrated resonator.
Guangyu Sun +4 more
wiley +1 more source
Mean Values of Products of L-Functions and Bernoulli Polynomials
Mathematics, 2018 Let m 1 , ⋯ , m r be nonnegative integers, and set: M r = m 1 + ⋯ + m r . In this paper, first we establish an explicit linear decomposition of: ∏ i = 1 r B m i ( x ) m i !
Abdelmejid Bayad, Daeyeoul Kim
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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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