Results 31 to 40 of about 73,475 (298)
On the logarithm of the Riemann zeta-function near the nontrivial zeros [PDF]
Transactions of the American Mathematical Society, 2020 Assuming the Riemann hypothesis and Montgomery's Pair Correlation Conjecture, we investigate the distribution of the sequences $(\log|\zeta(\rho+z)|)$ and $(\arg\zeta(\rho+z)).$ Here $\rho=\frac12+i\gamma$ runs over the nontrivial zeros of the zeta ...
Fatma Çiçek
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Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Concrete Operators, 2023 Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
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Some Numerical Significance of the Riemann Zeta Function
Recent Advances in Natural Sciences, 2023 In this paper, the Riemann analytic continuation formula (RACF) is derived from Euler’s quadratic equation. A nonlinear function and a polynomial function that were required in the derivation were also obtained.
Opeyemi O. Enoch, Lukman O. Salaudeen
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Matrix model for Riemann zeta via its local factors
Nuclear Physics B, 2020 We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is ‘p-iecemeal’, in the sense that we consider each factor in the Euler product representation of the zeta function to
Arghya Chattopadhyay +3 more
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A singular series average and the zeros of the Riemann zeta-function [PDF]
Acta Arithmetica, 2020 We show that the Riesz mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures has an asymptotic formula with an error term that can be expressed as an explicit formula that depends on the zeros of the Riemann zeta ...
D. Goldston, Ade Irma Suriajaya
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Distribution of Beurling primes and zeroes of the Beurling zeta function I. Distribution of the zeroes of the zeta function of Beurling [PDF]
, 2020 We consider the oscillation properties of the remainder term $\Delta(x)$ in the prime number formula for Beurling primes, and their relation to the distribution of the nontrivial zeroes of the Beurling zeta function $\zeta$.
S. R'ev'esz
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Riemann zeros from Floquet engineering a trapped-ion qubit
npj Quantum Information, 2021 The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He +8 more
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The Astrophysical Journal, 2023 We present the analysis of the magnetic field ( B -field) structure of galaxies measured with far-infrared (FIR) and radio (3 and 6 cm) polarimetric observations.
Alejandro S. Borlaff +15 more
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On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function I: Denseness [PDF]
, 2020 We consider iterated integrals of logζ(s){\log\zeta(s)} on certain vertical and horizontal lines. Here, the function ζ(s){\zeta(s)} is the Riemann zeta-function. It is a well-known open problem whether or not the values of the Riemann zeta-function on
K. Endo, S. Inoue
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Adelic amplitudes and intricacies of infinite products
Nuclear Physics B, 2023 For every prime number p it is possible to define a p-adic version of the Veneziano amplitude and its higher-point generalizations. Multiplying together the real amplitude with all its p-adic counterparts yields the adelic amplitude.
Christian Baadsgaard Jepsen
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