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Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications
Published 2011-04-01Subjects: “…Riemann zeta-function…”
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42
A new generalization of the Riemann zeta function and its difference equation
Published 2011-01-01Subjects: “…Riemann zeta function…”
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43
Entanglement and analytical continuation: an intimate relation told by the Riemann zeta function
Published 2013-01-01“…We propose measurements on a quantum system to realize the Riemann zeta function ζ . A single system, that is classical interference, suffices to create the Dirichlet representation of ζ . …”
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44
Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Published 2023-02-01Subjects: Get full text
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45
New Results Involving Riemann Zeta Function Using Its Distributional Representation
Published 2022-05-01Subjects: Get full text
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46
Universality in Short Intervals of the Riemann Zeta-Function Twisted by Non-Trivial Zeros
Published 2020-11-01Subjects: Get full text
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47
Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function
Published 2017-05-01Subjects: Get full text
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48
A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function
Published 2007-06-01Subjects: Get full text
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49
Some Relations Between the Riemann Zeta Function and the Generalized Bernoulli Polynomials of Level $m$
Published 2019-12-01Subjects: Get full text
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50
Universality of zeta-functions of cusp forms and non-trivial zeros of the Riemann zeta-function
Published 2021-01-01Subjects: “…montgomery pair correlation conjecture, riemann zeta-function, zeta-function of cusp form, universality.…”
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51
Series with Binomial-like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function
Published 2022-05-01Subjects: “…Riemann zeta function…”
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52
An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial
Published 2011-02-01Subjects: Get full text
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53
A multi-variable version of the completed Riemann zeta function and other $L$-functions
Published 2019Conference item -
54
On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip
Published 2019-10-01Subjects: “…Riemann zeta function tail…”
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55
Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by Gram Points
Published 2023-01-01“…In this paper, we consider the approximation of a collection of analytic functions by shifts in the Riemann zeta-function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ζ</mi><mrow><mo>(</mo><mi>s</mi><mo>+</mo><mi>i</mi><msubsup><mi>t</mi><mi>k</mi><msub><mi>α</mi><mn>1</mn></msub></msubsup><mo>)</mo></mrow><mo>,</mo><mo>…</mo><mo>,</mo><mi>ζ</mi><mrow><mo>(</mo><mi>s</mi><mo>+</mo><mi>i</mi><msubsup><mi>t</mi><mi>k</mi><msub><mi>α</mi><mi>r</mi></msub></msubsup><mo>)</mo></mrow><mo>)</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>k</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>…</mo></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>α</mi><mn>1</mn></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>α</mi><mi>r</mi></msub></mrow></semantics></math></inline-formula> are different positive numbers not exceeding 1. …”
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Joint Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by the Gram Function II
Published 2022-11-01Subjects: Get full text
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Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta Function Twisted by Gram Points II
Published 2023-04-01Subjects: Get full text
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A renormalization approach to the Riemann zeta function at — 1, 1 + 2 + 3 + …~ — 1/12.
Published 2018-06-01Subjects: “…Riemann zeta function| sum of natural numbers| $\zeta\left(-1\right)$| 1+2+3+...| Cesaro mean or sum…”
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On zeros of some composite functions
Published 2011-12-01Subjects: “…Riemann zeta-function…”
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A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
Published 2008-04-01Subjects: Get full text
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