Results 201 to 210 of about 24,946 (242)

Staphylococcus epidermidis MB614 and Staphylococcus hominis MB621 from human milk as up regulators of TNF-α induced IL-8 production by Caco-2 cell line. [PDF]

BMC Biotechnol
Saeed A, Yasmin A, Ahmed MA, Zaib S, Tabish M, Rehman B.   +5 more
europepmc   +1 more source

Enhanced security of affine ciphers using digraph transformation and a modified three pass protocol. [PDF]

Sci Rep
Bete S, Demilew SA, Woldegiworgis TA, Tsegaye GG, Girmaw DW.   +4 more
europepmc   +1 more source

Gibbs manifolds. [PDF]

Inf Geom
Pavlov D, Sturmfels B, Telen S.
europepmc   +1 more source

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Sums over Primes

2021
See the abstract in the attached pdf.
openaire   +2 more sources

Character sums over shifted primes

Mathematical Notes, 2010
Let \(q\) 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 \[ \left|\sum_{n\leq N}\Lambda(n)\chi(n+a)\right|\leq \left(N^{7/8}q^{1/9}+N^{33/32}q^{-1/18}\right)q^{o(1)}. \]
Friedlander, J. B., Gong, K., Shparlinskii, I. E.   +2 more
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EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES

International Journal of Number Theory, 2010
We 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.
openaire   +2 more sources

Sum of short exponential sums over prime numbers

Doklady Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rakhmonov, Z. Kh., Rakhmonov, F. Z.
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Exponential sums over primes with multiplicative coefficients

Mathematische Zeitschrift, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramaré, Olivier, Viswanadham, G. K.
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Short cubic exponential sums over primes

Proceedings of the Steklov Institute of Mathematics, 2017
Vinogradov started the study of short exponential sums over primes of the form \[ \sum\limits_{x ...
Rakhmonov, Z. Kh., Rakhmonov, F. Z.
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Exponential sums over primes in short intervals

Acta Mathematica Hungarica, 1986
Let \[ S(x,y,\alpha)=\sum_{x ...
A. BALOG, PERELLI, ALBERTO
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