Results 21 to 30 of about 47,970 (95)

Evaluating parametric holonomic sequences using rectangular splitting

, 2013
We adapt the rectangular splitting technique of Paterson and Stockmeyer to the problem of evaluating terms in holonomic sequences that depend on a parameter. This approach allows computing the $n$-th term in a recurrent sequence of suitable type using $O(
Johansson, Fredrik
core   +1 more source

On Additive Divisor Sums and Partial Divisor Functions

, 2019
We establish asymptotic formulae for various correlations involving general divisor functions $d_k(n)$ and partial divisor functions $d_l(n,A)=\sum_{q|n:q\leq n^A}d_{l-1}(q)$, where $A\in[0,1]$ is a parameter and $k,l\in\mathbb{N}$ are fixed. Our results
Andrade, Julio, Smith, Kevin
core  

Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems

, 2009
An infinite particle system of independent jumping particles is considered. Their constructions is recalled, further properties are derived, the relation with hierarchical equations, Poissonian analysis, and second quantization are discussed.
da Silva, José Luís, Kondratiev, Yuri G., Kuna, Tobias, Oliveira, Maria João, Streit, Ludwig   +4 more
core  

Nodal Statistics of Planar Random Waves

, 2017
We consider Berry's random planar wave model (1977) for a positive Laplace eigenvalue $E>0$, both in the real and complex case, and prove limit theorems for the nodal statistics associated with a smooth compact domain, in the high-energy limit ($E\to ...
Nourdin, Ivan, Peccati, Giovanni, Rossi, Maurizia   +2 more
core  

Generalising the Hardy-Littlewood Method for Primes

, 2006
The Hardy-Littlewood method is a well-known technique in analytic number theory. Among its spectacular applications are Vinogradov's 1937 result that every sufficiently large odd number is a sum of three primes, and a related result of Chowla and Van der
Green, Ben
core   +2 more sources

Moments of derivatives of quadratic Dirichlet <i>L</i>-functions with prime conductor. [PDF]

Res Number Theory
Best CG.
europepmc   +1 more source

Exact Solution and Large-Scale Scaling Analysis of the Imaginary Creutz-Stark Ladder. [PDF]

Entropy (Basel)
Qi Y, Lin H, Lu Q, Long D, Ruan D, Long GL.   +5 more
europepmc   +1 more source

Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime. [PDF]

Arch Ration Mech Anal
Chen L, Holzinger A, Jüngel A.
europepmc   +1 more source

On the real zeroes of half-integral weight Hecke cusp forms. [PDF]

Math Ann
Jääsaari J.
europepmc   +1 more source

Constructing G-computation Estimators: Two Case Studies in Selection Bias. [PDF]

Epidemiology
Zivich PN, Lu H.
europepmc   +1 more source