What is the Simplest Linear Ramp? by Suman Das, Sumit K. Garg, Chethan Krishnan, Arnab Kundu

“…We also note that truncating the Riemann zeta function sum at a finite integer N causes the would-be-eternal ramp to end on a plateau.…”
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Computations of eigenvalue avoidance in planar domains by Betcke, T, Trefethen, L

“…The phenomenon of eigenvalue avoidance is of growing interest in applications ranging from quantum mechanics to the theory of the Riemann zeta function. Until now the computation of eigenvalues of the Laplace operator in planar domains has been a difficult problem, making it hard to compute eigenvalue avoidance. …”

Weil's converse theorem for Maass forms and cancellation of zeros by Neururer, M, Oliver, T

“…This weakened analytic assumption applies in the context of our second theorem, which shows that the quotient of the symmetric square L-function of a Maass newform and the Riemann zeta function has infinitely many poles. …”

On some quadrature rules with Gregory end corrections by Bogusław Bożek, Wiesław Solak, Zbigniew Szydełko

“…Several examples (including the Riemann zeta-function) show the efficiency of this new method. …”
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On the non-hyperbolicity of a class of exponential polynomials by Gaspar Mora

“…In this paper we have constructed a class of non-hyperbolic exponential polynomials that contains all the partial sums of the Riemann zeta function. An exponential polynomial been also defined to illustrate the complexity of the structure of the set defined by the closure of the real projections of its zeros. …”
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Some properties of the k-Gamma function by Chrysi G. Kokologiannaki, Valmir Krasniqi

“…We introduce a k-analogue of the Riemann Zeta function ζ_k as an integral and using Schwarz’s and Holder’s inequalities we obtain some inequalities relating ζ_k and Γ_k functions. …”
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Evaluating log-tangent integrals via Euler sums by Anthony Sofo

“…We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet eta function, Dirichlet lambda function and many other special functions. …”
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Resolution of challenging problems in quantum cosmology with electromagnetic radiation by S. Jalalzadeh

“…We solve the corresponding Wheeler–DeWitt equation by utilizing Riemann's zeta function regularization method. We demonstrate that the regularized vacuum energy of the electromagnetic field can overcome factor ordering, boundary conditions, and singularity problems.…”
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Maxima of log-correlated fields: Some recent developments by Bailey, EC, Keating, J

“…We review recent progress relating to the extreme value statistics of the characteristic polynomials of random matrices associated with the classical compact groups, and of the Riemann zeta-function and other L-functions, in the context of the general theory of logarithmically correlated Gaussian fields. …”

Universality Theorems in Physics by Antanas Garbaliauskas

“…The property for the Riemann zeta-function was discovered by S. M. Voronin. Later, many mathematicians, such as S. …”
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Half-isolated zeros and zero-density estimates by Maynard, J, Pratt, K

“…We introduce a new method to detect the zeros of the Riemann zeta function, which is sensitive to the vertical distribution of the zeros. …”

دراسة بعض تطبيقات دالة غاما by نبيل خضير سلمان

“…In this paper, we study the Gamma function, and the representation of a complex variable, using either sequential or appropriate integration ,and its application in solving certain types of integral equations , and their relationship to the Riemann- Zeta function, and used to solve the contour integration ,and to find the integration of Hankel’s contour integral according to Bessel function for integer n.…”
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دراسة بعض تطبيقات دالة غاما by نبيل خضير سلمان

“…In this paper, we study the Gamma function, and the representation of a complex variable, using either sequential or appropriate integration ,and its application in solving certain types of integral equations , and their relationship to the Riemann- Zeta function, and used to solve the contour integration ,and to find the integration of Hankel’s contour integral according to Bessel function for integer n.…”
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Is Catalan’s Constant Rational? by Robert Reynolds, Allan Stauffer

“…We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the Riemann Zeta function and fundamental mathematical constants, including Catalan’s constant. …”
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The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann’s Zeta-Function by Janyarak Tongsomporn, Saeree Wananiyakul, Jörn Steuding

“…In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line. …”
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Moments of zeta and correlations of divisor-sums: V by Conrey, B, Keating, J

“…In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. …”

Exact Laws for Sums of Logarithms of Uniform Spacings by Paul Deheuvels, Gérard Derzko

“…We also obtain closed form expressions for the corresponding cumulants of arbitrary order, in terms of the Riemann zeta function. Our results follow from two representations of this statistic through sums of independent random variables, the latter being of independent interest. …”
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A Formal Proof of the Irrationality of $\zeta(3)$ by Assia Mahboubi, Thomas Sibut-Pinote

“…This paper presents a complete formal verification of a proof that the evaluation of the Riemann zeta function at 3 is irrational, using the Coq proof assistant. …”
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Nonlocal Symmetries for Time-Dependent Order Differential Equations by Andrei Ludu

“…An interesting symmetry of the solution in relation to the Riemann zeta function and Harmonic numbers is observed.…”
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Non-factorizable C-valued functions induced by finite connected graphs by Ilwoo Cho

“…By constructing factorizable functions from our non-factorizable functions, we study relations between graph zeta functions and well-known number-theoretic objects, the Riemann zeta function and the Euler totient function.…”
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