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math.NT2022
A Prime Power Equation
Timothy Redmond, Charles Ryavec
A real valued function, , is provided whose Fourier transform, , is an entire function that satisfies, . Then $\hat G(γ) = 0…
math.NT2017★ 1 cited
BesselK Series for the Riemann Zeta function
Timothy Redmond, Charles Ryavec
This paper provides some expansions of Riemann xi function, , as a series of Bessel K functions.
math.NT2016
Exact Russell-Type Modular Equations
Timothy Redmond, Charles Ryavec
This paper provides some statistics for the coefficients of Russell- Type modular equations for the modular function, λ(τ). The results hold uniformly for all odd primes. They do n…