4 papers
Zeta Regularized Trigonometric Products Over Zeros Of The Riemann Zeta Function
Efe Gürel
We prove a novel zeta regularized product formula concerning regularization of trigonometric products over non-trivial zeros of the Riemann zeta function. Furthermore, we calculate…
Novel Proofs For Fundamental Identities Of Weierstrass Sigma And Jacobi Theta Functions
Efe Gürel
In this note, we describe a general procedure to prove functional equations involving quasi-periodic functions. We give novel proofs for fundamental identities of Weierstrass sigma…
Resolution Of Multiplicative Anomaly Of Zeta Regularization For Polynomials
Efe Gürel
In this paper, the problem of multiplicative anomaly of zeta regularization is solved for polynomials. For a regularizable sequence , we explicitly calculate the zeta regularize…
The Theory Of Auxiliary Weierstrassian Zeta Functions And Zeta Differences
Efe Gürel
In this paper, we expand the theory of Weierstrassian elliptic functions by introducing auxiliary zeta functions , zeta differences of first kind and second kind $Δ_{λ,μ…