Results 51 to 60 of about 48,609 (140)

On Multilevel Energy‐Based Fragmentation Methods

open access: yesInternational Journal of Quantum Chemistry, Volume 126, Issue 3, January 30, 2026.
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker   +2 more
wiley   +1 more source

Nodal Statistics of Planar Random Waves

open access: yes, 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   +2 more
core  

On Additive Divisor Sums and Partial Divisor Functions

open access: yes, 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  

Asymptotic Formulas for Some Arithmetic Functions

open access: yesCanadian mathematical bulletin, 1958
P. Erdős
semanticscholar   +1 more source

Combining exchangeable <i>P</i>-values. [PDF]

open access: yesProc Natl Acad Sci U S A
Gasparin M, Wang R, Ramdas A.
europepmc   +1 more source

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