Rennie on “A mechanistic model linking insect (Hydropsychidae) silk nets to incipient sediment motion in gravel-bedded streams” Lindsey K. Albertson, Leonard S. Sklar, and Bradley J. Cardinale Stroud Water Research Center, Avondale, Pennsylvania, USA, Earth and Climate Sciences, San Francisco State University, San Francisco, California, USA, School of Natural Resources and Environment, Universi...

Using WZ-pairs we present simpler proofs of Koecher, Leshchiner and BaileyBorwein-Bradley’s identities for generating functions of the sequences {ζ(2n+2)}n≥0 and {ζ(2n + 3)}n≥0. By the same method, we give several new representations for these generating functions yielding faster convergent series for values of the Riemann zeta function.

In this note we give an upper bound for λ(n), the maximum number of edges in a strongly multiplicative graph of order n, which is sharper than the upper bound obtained by Beineke and Hegde [1].

There is a wide body of research to support the view that children with low levels of phonemic awareness on entering school are more likely to be poorer readers and spellers than those with high levels (Adams, 1990; Bradley & Bryant, 1983, 1985; Frith, 1985; Mann, 1993; Snow, Burns & Griffin, 1998). Because academic success is largely dependent upon reading, teachers need a quick and accurate w...

In this note we give an upper bound for λ(n), the maximum number of edges in a strongly multiplicative graph of order n, which is sharper than the upper bounds given by Beineke and Hegde [3] and Adiga, Ramaswamy and Somashekara [2], for n ≥ 28.

a University of Virginia, United States b University of Toronto, Canada c University of California, Davis, United States d Pennsylvania State University, Abington, United States e The University of Southern Mississippi, United States f Ashland University, United States g Virginia Commonwealth University, United States h Bradley University, United States i Ithaca College, United States j Center ...

We define the decomposable extensions of difference fields and study the irreducibility of q-Painlevé equation of type A 7 ′ . Every strongly normal extension or Liouville-Franke extension, the latter of which is a difference analogue of the Liouvillian extension, satisfies that its appropriate algebraic closure is a decomposable extension.

We document the discovery of two generating functions for ζ(2n + 2), analogous to earlier work for ζ(2n + 1) and ζ(4n + 3), initiated by Koecher and pursued further by Borwein, Bradley and others.