A new analytical modelling for nonlocal generalized Riesz fractional sine-Gordon equation by S. Saha Ray

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Hilbert’s Double Series Theorem’s Extensions via the Mathieu Series Approach by Tibor K. Pogány

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New properties for the Ramanujan R-function by Cai Chuan-Yu, Chen Lu, Huang Ti-Ren, Chu Yuming

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18.785 Analytic Number Theory, Spring 2007 by Kedlaya, Kiran

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18.112 Functions of a Complex Variable, Fall 2005 by Helgason, Sigurdur, 1927-

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18.112 Functions of a Complex Variable, Fall 2006 by Helgason, Sigurdur, 1927-

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Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series rep... by Qi Feng

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Amplitude-like functions from entire functions by Claude Duhr, Chandrashekhar Kshirsagar

“…Abstract Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key ingredient in the construction is an even entire function whose only zeroes coincide with the non-trivial zeroes of the Riemann zeta function. …”
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Investigation of Riemann hypothesis via Rényi dimension and Hurst exponent by Peh, Wei Yan

“…The Riemann hypothesis is an unsolved problem in mathematics involving the locations of the non-trivial zeros in the Riemann zeta function, and state that: "The real part of every non-trivial zero of the Riemann zeta function is 1/2." …”
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Supersymmetry and the Riemann zeros on the critical line by Ashok Das, Pushpa Kalauni

“…Keywords: Riemann hypothesis, Supersymmetry, Riemann zeta function, Riemann zeros…”
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On the Order of Growth of Lerch Zeta Functions by Jörn Steuding, Janyarak Tongsomporn

“…We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. …”
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On the moments of the moments of ζ(1/2 + it) by Bailey, EC, Keating, J

“…Taking t at random, uniformly from [0,𝑇], we consider the kth moment, with respect to t, of the random variable corresponding to the 2βth moment of ζ(1/2+𝒾x) over the interval x ∈ (𝑡,𝑡+1), where ζ(s) is the Riemann zeta function. We call these the ‘moments of moments’ of the Riemann zeta function, and present a conjecture for their asymptotics, when 𝑇 → ∞, for integer 𝑘, 𝛽. …”

Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence by Yuganand Nellambakam, K. Haritha, K. V. S. Shiv Chaitanya

“…We calculate the intensity of multiple slits and the antenna’s amplification factor (AF) in terms of the Riemann zeta function. We further demonstrate that the Riemann zeta function gives rise to additional nulls. …”
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Matrix model for Riemann zeta via its local factors by Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta, Debashis Ghoshal

“…We combine the data from all primes to propose a Hamiltonian and a matrix model for the Riemann zeta function.…”
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On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class by Bui, HM, Keating, JP, Smith, DJ

“…Phys. 252 (2004) 589–617] for the Riemann zeta‐function to other 𝐿 ‐functions in the Selberg class. …”

Series of Floor and Ceiling Functions—Part II: Infinite Series by Dhairya Shah, Manoj Sahni, Ritu Sahni, Ernesto León-Castro, Maricruz Olazabal-Lugo

“…We then use these theorems to develop distinct novel results involving the Hurwitz zeta function, Riemann zeta function, polylogarithms and Fibonacci numbers. …”
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Asymptotic analysis of differential equations / by 358898 White, R. B.

Some Observations on the Greatest Prime Factor of an Integer by Jakimczuk Rafael

“…We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.…”
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Sharp refined quadratic estimations of Shafer's inequalities by Ling Zhu

“…In this paper, using the power series expansions of $(\tan x)^{k}(k=1,2,3)$ and the monotonicity of a function involving the Riemann's zeta function, we sharpen the quadratic estimations of Shafer's inequalities which is refined by Nishizawa [5].…”
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Further results on Gram's Law by Trudgian, TS

“…This thesis shows that Gram's Law and the Rosser Rule (methods for locating zeroes of the Riemann zeta-function) fail in a positive proportion of cases. …”