-color partitions with weighted differences equal to minus two.
Natural divisors and the brownian motion
A model of the Brownian motion defined in terms of the natural divisors is proposed and weak convergence of the related measures in the space [0,1] is proved. An analogon of the Erdös arcsine law, known for the prime divisors [6] (see [14] for the proof), is obtained. These results together with the author’s investigation [15] extend the systematic study [9] of the distribution of natural divisors. Our approach is based upon the functional limit theorems of probability theory.
Natural exactly covering systems of congruences
Natural homomorphisms of Witt rings of orders in algebraic number fields
Natural homomorphisms of Witt rings of orders in algebraic number fields. II
We prove that there are infinitely many real quadratic number fields with the property that for infinitely many orders in and for the maximal order in the natural homomorphism of Witt rings is surjective.
Natural numbers n for which ⌊nα + s⌋ ≠ ⌊nβ + s⌋
ndependence of Modular Units on Tate Curves.
Near holomorphy of some automorphic forms at critical points.
Near solutions of polynomial equations
Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
We show that the density functions of nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which appears in value distribution of the logarithmic derivative of the Riemann zeta-function on vertical lines.
Nearly Holomorphic Functions on Hermitian Symmetric Spaces.
Nearly ordinary deformations of irreducible residual representations
Necessary condition for the existence of an incongruent covering system with odd moduli II
Necessary condition for the existence of an incongruent covering system with odd moduli
Necessary conditions for distinct covering systems with square-free moduli
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Negative values of cosine sums
Negatively reduced ideals in orders of real quadratic fields: even discriminants
Neither nor is a perfect square.