44 citations · 263 across the 45 of their papers we have counts for
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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.…
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…
Note on the Stieltjes constants: series with Stirling numbers of the first kind
Mark W. Coffey
The Stieltjes constants appear as the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function about . We generalize the integr…
Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers
Mark W. Coffey
The Riemann zeta identity at even integers of Lettington, along with his other Bernoulli and zeta relations, are generalized. Other corresponding recurrences and determinant relati…
On Fibonacci Polynomial Expressions for Sums of th Powers, their implications for Faulhaber's Formula and some Theorems of Fermat
M. W. Coffey, M. C. Lettington
Denote by the sum of the -th powers of the first positive integers . Similarly let be the -fold sum of the -th powers of the firs…