Results 11 to 20 of about 6,125 (36)
Discretisation for odd quadratic twists [PDF]
, 2005 The discretisation problem for even quadratic twists is almost understood, with the main question now being how the arithmetic Delaunay heuristic interacts with the analytic random matrix theory prediction.
Conrey, J. Brian +3 more
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Distribution of Farey Fractions in Residue Classes and Lang--Trotter Conjectures on Average
, 2007 We prove that the set of Farey fractions of order $T$, that is, the set $\{\alpha/\beta \in \Q : \gcd(\alpha, \beta) = 1, 1 \le \alpha, \beta \le T\}$, is uniformly distributed in residue classes modulo a prime $p$ provided $T \ge p^{1/2 +\eps}$ for any ...
Cojocaru, A. C., Shparlinski, I. E.
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The existence of small prime gaps in subsets of the integers
, 2014 We consider the problem of finding small prime gaps in various sets of integers $\mathcal{C}$. Following the work of Goldston-Pintz-Yildirim, we will consider collections of natural numbers that are well-controlled in arithmetic progressions.
Benatar, Jacques
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Abel Summation of Ramanujan-Fourier Series [PDF]
, 2015 Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions.
Washburn, John
core
An Ap\'ery-like difference equation for Catalan's constant
, 2002 Applying Zeilberger's algorithm of creative telescoping to a family of certain very-well-poised hypergeometric series involving linear forms in Catalan's constant with rational coefficients, we obtain a second-order difference equation for these forms ...
Zudilin, Wadim
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Correlations of the Moebius and Liouville functions and the twin prime conjecture
, 2015 In this note we describe weight functions that exhibit a transitional behavior between weak and strong correlation with the Liouville function. We also describe a binary problem which may be considered as an interpolation between Chowla's conjecture for ...
Preobrazhenskaya, Tatyana +1 more
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Some of the next articles are maybe not open access.
K-theory of AF-algebras from braided C*-tensor categories
Reviews in Mathematical Physics, 2020Andreas Næs Aaserud
exaly