The Effect of Variation in the Order of the Beurling Zeta Function in the Strip (0, 1) on the Upper Bound of Nₚ(x)
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6387Keywords:
Beurling primes;Beurling integers;Beurling zeta functionAbstract
During the third decade of the last century, Arne Beurling introduced the generalise primes as any increasing positive real sequence starting with a real number greater than 1 called ”Beurling primes”. Where the fundamental theorem of arithmetics gives Beurling integers. This work study Beurling’s prime systems and concentrates on the upper bound of Beurling zeta function
in the region (0, 1). This reflects of course on the size of the error term of Beurling counting function of integers Np(x).
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Copyright (c) 2025 Zhwan M. Amen, Faez Al-Maamori, Mudhafar F. Hama
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