Results 181 to 190 of about 571 (219)
Intersecting Memories of Immunity and Climate: Potential Multiyear Impacts of the El Niño-Southern Oscillation on Infectious Disease Spread. [PDF]
Chung MV +4 more
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Aging Is a Key Driver for Adult Acute Myeloid Leukemia
Acute myeloid leukemia (AML) is a classical age‐related hematologic malignancy, and a key driver of AML is aging, which profoundly regulates intrinsic factors such as genomic instability, epigenetic reprogramming, and metabolic dysregulation, and alters bone marrow microenvironment.
Rong Yin, Haojian Zhang
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Fully Complementary Higher Dimensional Partitions. [PDF]
Schreier-Aigner F.
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From spatial perception to referential meaning: convergent image schemas in the music of and texts about Beethoven's piano sonatas. [PDF]
Antović M, Jovanović VŽ, Popović M.
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Extreme values of derivatives of zeta and L-functions. [PDF]
Yang D.
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Density of rational points on some quadric bundle threefolds. [PDF]
Bonolis D, Browning T, Huang Z.
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On exponential sums over primes in arithmetic progressions
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Character sums over shifted primes
Mathematical Notes, 2010Let \(q\) be an arbitrary positive integer, \(\chi\) be a primitive character modulo \(q\), and let \(\Lambda(n)\) be the von Mangoldt function. For \(N\leq q^{16/9}\), the authors prove that \[ \left|\sum_{n\leq N}\Lambda(n)\chi(n+a)\right|\leq \left(N^{7/8}q^{1/9}+N^{33/32}q^{-1/18}\right)q^{o(1)}. \]
J B Friedlander +2 more
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Exponential sums over primes in short intervals
Science in China Series A: Mathematics, 2006Let \(\Lambda(m)\) be von Mangoldt's function, \(k \in \mathbb N\), \(2 \leq y \leq x\), and \(\alpha = a/q + \lambda\), with \((a, q) = 1\). In this paper, the authors prove that \[ \begin{multlined} \sum_{x < m \leq x + y} \Lambda(m)\exp(2\pi i\alpha m^k) \ll (qx)^{\epsilon} \Big( yx^{-1/2}(q\Xi)^{1/2} + x^{1/2}q^{1/2}\Xi^{1/6}\\ + y^{1/2}x^{3/10 ...
Tao Zhan, Guangshi Lu, Jianya Liu
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EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES
International Journal of Number Theory, 2010We specialize a problem studied by Elliott, the behavior of arbitrary sequences ap of complex numbers on residue classes to prime moduli to the case ap = e(αp). For these special cases, we obtain under certain additional conditions improvements on Elliott's results.
Maier, H., Sankaranarayanan, A.
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