139 citations · 610 across the 38 of their papers we have counts for
38 papers
Depth reduction of a class of Witten zeta functions
David M. Bradley, Tianxin Cai, Xia Zhou
We show that if a,b,c,d,f are positive integers such that a+b+c+d+f is even, then the Witten zeta value zeta_{sl(4)}(a,b,c,d,0,f) is expressible in terms of Witten zeta functions w…
On Mordell-Tornheim sums and multiple zeta values
David M. Bradley, Xia Zhou
We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a…
An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent
David M. Bradley
The natural logarithm can be represented by an infinite series that converges for all positive real values of the variable, and which makes concavity patently obvious. Concavity of…
The distribution of the irreducibles in an algebraic number field
David M. Bradley, Ali E. Özlük, Rebecca A. Rozario +1
We study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
A signed analog of Euler's reduction formula for the double zeta function
David M. Bradley
The double zeta function is a function of two arguments defined by a double Dirichlet series, and was first studied by Euler in response to a letter from Goldbach in 1742. By calcu…
Verhulst's logistic curve
David M. Bradley
We observe that the elementary logistic differential equation dP/dt=(1-P/M)kP may be solved by first changing the variable to R=(M-P)/P. This reduces the logistic differential equa…