Results 11 to 20 of about 73,475 (298)
Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function
Mathematics, 2020 The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift.
Azmeer Nordin, Mohd Salmi Md Noorani
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Riemann's Prime Counting Function and Riemann Zeta Function
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Mallick, Mrigank
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The Mean Square of the Hurwitz Zeta-Function in Short Intervals
AxiomsThe Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter ...
Antanas Laurinčikas +1 more
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Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH [PDF]
Mathematics of Computation, 2015 Followed referee's advice including changing ...
Loïc Grenié, Giuseppe Molteni
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Prime Reciprocal Digit Frequencies and the Euler Zeta Function [PDF]
, 2009 6 ...
Subhash Kak
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Twenty Digits of Some Integrals of the Prime Zeta Function [PDF]
, 2008 The double sum sum_(s >= 1) sum_p 1/(p^s log p^s) = 2.00666645... over the inverse of the product of prime powers p^s and their logarithms, is computed to 24 decimal digits. The sum covers all primes p and all integer exponents s>=1. The calculational strategy is adopted from Cohen's work which basically looks at the fraction as the underivative ...
Richard J. Mathar
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Gocgen Approach for Zeta Function in Twin Primes
International Journal of Pure and Applied Mathematics ResearchI had previously developed an approach called Gocgen approach, which claimed to prove twin prime conjecture. In this paper, I processed the previously developed Gocgen approach with the zeta function and explained the relationship between the zeta function with some formulas to offer another perspective on the zeta function, and also created a new ...
Ahmet F. Gocgen
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The Prime Number Theorem, Riemann Zeta Function Zeros, and Dynamical Zeta Functions
Global Journal of Pure and Applied MathematicsDarrell Cox
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New properties of divisors of natural number [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
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The Average Number of Goldbach Representations and Zero-Free Regions of the Riemann Zeta-Function [PDF]
International Journal of Number Theory, 2023 In this paper, we prove an unconditional form of Fujii's formula for the average number of Goldbach representations and show that the error in this formula is determined by a general zero-free region of the Riemann zeta-function, and vice versa.
Keith Billington +3 more
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