44 citations · 263 across the 45 of their papers we have counts for
52 papers
Some integrals of the Dedekind function
Mark W. Coffey
Let be the weight Dedekind function. A unification and generalization of the integrals , , of Glasser \cite{glasser2009} is presented.…
Generalizations of Russell-style integrals
Mark W. Coffey
First some definite integrals of W. H. L. Russell, almost all with trigonometric function integrands, are derived, and many generalized. Then a list is given in Russell-style of ge…
Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric function
Mark W. Coffey
The well known table of Gradshteyn and Ryzhik contains indefinite and definite integrals of both elementary and special functions. We give proofs of several entries containing inte…
Binomial Polynomials mimicking Riemann's Zeta Function
Mark W. Coffey, Matthew C. Lettington
The (generalised) Mellin transforms of certain Chebyshev and Gegenbauer functions based upon the Chebyshev and Gegenbauer polynomials, have polynomial factors , whose zeros…
Summatory relations and prime products for the Stieltjes constants, and other related results
Mark W. Coffey
The Stieltjes constants appear in the regular part of the Laurent expansion for the Hurwitz zeta function . We present summatory results for these constants $γ_k(a…
Adiabatic quantum computing solution of the knapsack problem
Mark W. Coffey
We illustrate the adiabatic quantum computing solution of the knapsack problem with both integer profits and weights. For problems with objects (or items) and integer capacity…