目的通过检测变应性鼻炎(AR)患者血清中维生素D(vitamin D,VD)及外周血调节性T细胞(regulatory T cell,Treg)、Th17细胞的表达水平,研究Treg细胞、Th17细胞及VD在AR发病机制中的作用,探讨VD与Treg/Th17细胞间的相互关系以及治疗AR的价...目的通过检测变应性鼻炎(AR)患者血清中维生素D(vitamin D,VD)及外周血调节性T细胞(regulatory T cell,Treg)、Th17细胞的表达水平,研究Treg细胞、Th17细胞及VD在AR发病机制中的作用,探讨VD与Treg/Th17细胞间的相互关系以及治疗AR的价值。方法选取38例AR确诊患者为AR组,健康体检者38例为对照组。采用酶联免疫吸附试验(ELISA)检测受试者外周血25(OH)D_3的含量;电化学发光免疫分析法检测血清总VD含量;流式细胞术(FCM)检测外周血CD4^+IL-17^+Th17细胞、CD4^+CD25^+Foxp3^+Treg细胞占CD4^+T细胞百分率。结果 AR组血清总VD及25(OH)D_3的表达水平显著低于对照组(t=-7.791、-2.439,P均<0.05);AR组CD4^+CD25^+Foxp3^+Treg细胞占CD4^+T细胞的百分率明显低于对照组(t=-17.011,P<0.05);AR组CD4^+IL-17^+Th17细胞占CD4^+T细胞的百分率明显高于对照组(t=8.986,P<0.05);AR组外周血CD4^+CD25^+Foxp3^+Treg细胞表达水平与血清25(OH)D_3含量呈正相关(r=0.713,P<0.05);AR组外周血CD4^+IL-17^+Th17细胞含量与血清25(OH)D_3含量呈负相关(r=-0.658,P<0.05)。结论 AR患者中VD含量显著低于对照组,提示血清VD的缺乏有可能影响AR发病;而VD缺乏可能与Treg/Th17细胞失衡存在一定的相关性。展开更多
In this paper, we prove the following estimate on exponential sums over primes: Let κ≥1,βκ=1/2+log κ/log2, x≥2 and α=a/q+ λ subject to (a, q) = 1, 1≤a≤q, and λ ∈ R. Then As an application, we prove that wi...In this paper, we prove the following estimate on exponential sums over primes: Let κ≥1,βκ=1/2+log κ/log2, x≥2 and α=a/q+ λ subject to (a, q) = 1, 1≤a≤q, and λ ∈ R. Then As an application, we prove that with at most O(N2/8+ε) exceptions, all positive integers up to N satisfying some necessary congruence conditions are the sum of three squares of primes. This result is as strong as what has previously been established under the generalized Riemann hypothesis.展开更多
Let f be a full-level cusp form for GLm(Z) with Fourier coefficients Af(n1,..., nm-1). In this paper,an asymptotic expansion of Voronoi's summation formula for Af(n1,..., nm-1) is established. As applications of t...Let f be a full-level cusp form for GLm(Z) with Fourier coefficients Af(n1,..., nm-1). In this paper,an asymptotic expansion of Voronoi's summation formula for Af(n1,..., nm-1) is established. As applications of this formula, a smoothly weighted average of Af(n, 1,..., 1) against e(α|n|β) is proved to be rapidly decayed when 0 < β < 1/m. When β = 1/m and α equals or approaches ±mq1/mfor a positive integer q, this smooth average has a main term of the size of |Af(1,..., 1, q) + Af(1,..., 1,-q)|X1/(2m)+1/2, which is a manifestation of resonance of oscillation exhibited by the Fourier coefficients Af(n, 1,..., 1). Similar estimate is also proved for a sharp-cut sum.展开更多
基金The author is supported by Post-Doctoral Fellowsbip of The University of Hong Kong.
文摘In this paper, we prove the following estimate on exponential sums over primes: Let κ≥1,βκ=1/2+log κ/log2, x≥2 and α=a/q+ λ subject to (a, q) = 1, 1≤a≤q, and λ ∈ R. Then As an application, we prove that with at most O(N2/8+ε) exceptions, all positive integers up to N satisfying some necessary congruence conditions are the sum of three squares of primes. This result is as strong as what has previously been established under the generalized Riemann hypothesis.
基金supported by National Natural Science Foundation of China(Grant No.10971119)Program for Changjiang Scolars and Innovative Research Team in University(Grant No.1264)
文摘Let f be a full-level cusp form for GLm(Z) with Fourier coefficients Af(n1,..., nm-1). In this paper,an asymptotic expansion of Voronoi's summation formula for Af(n1,..., nm-1) is established. As applications of this formula, a smoothly weighted average of Af(n, 1,..., 1) against e(α|n|β) is proved to be rapidly decayed when 0 < β < 1/m. When β = 1/m and α equals or approaches ±mq1/mfor a positive integer q, this smooth average has a main term of the size of |Af(1,..., 1, q) + Af(1,..., 1,-q)|X1/(2m)+1/2, which is a manifestation of resonance of oscillation exhibited by the Fourier coefficients Af(n, 1,..., 1). Similar estimate is also proved for a sharp-cut sum.
