Results 191 to 200 of about 1,162 (217)

Asymptotic expansions for partitions generated by infinite products. [PDF]

Math Ann
Bridges W, Brindle B, Bringmann K, Franke J.   +3 more
europepmc   +1 more source

Association of severe depression with bone mineral content: a mediation analysis in PERSIAN cohort study. [PDF]

BMC Public Health
Sahebi M, Daliri M, Nikbakht F, Eslami S, Ebrahimzadeh MH, Moradi A, Taghipour A, Sadeghi M.   +7 more
europepmc   +1 more source

Fuzzy and crisp computational analysis of certain graphs structures via machine learning techniques. [PDF]

Sci Rep
Mufti ZS, AlQadi H, Tabraiz A, Hanif MF, Fiidow MA.   +4 more
europepmc   +1 more source

Adaptive effects of physical education reform: testing a multilevel SEM chain mediation model for social adaptability development. [PDF]

BMC Psychol
Wang J, Yuan G, Zhang R, Yang G, Sun H.
europepmc   +1 more source

Coherent Bunching of Anyons and their Dissociation in Interference Experiments

Heiblum M, Ghosh B, Labendik M, Umansky V, Mross D.   +4 more
europepmc   +1 more source

Fuzzy incidence coloring under structural operations for communication channel allocation. [PDF]

Sci Rep
Deji A, Wang Q, Zhou L.
europepmc   +1 more source

A Caputo fractional-order SEIHRD model for Ebola: theoretical analysis, sensitivity, bifurcation, and numerical simulations. [PDF]

Sci Rep
Malathy R, Krishnan GSS, Loganathan K.
europepmc   +1 more source

The Elementary Theory of Partitions [PDF]

, 1984
George E Andrews
exaly   +4 more sources

On an Elementary Proof of Some Asymptotic Formulas in the Theory of Partitions

The Annals of Mathematics, 1942
Let \(p(n)\) be the number of partitions of the positive integer \(n\) and let \(p_k(n)\) be the number of partitions of \(n\) into exactly \(k\) summands. The author gives an elementary proof that \(\lim_{n \to \infty} n p(n) \exp\{-\pi(2n/3)^{1/2}\}\) exists and is positive, but does not determine its value (known to be \(48^{-1/2}\)).
openaire   +4 more sources