Generalization of Bertrand's Postulate for Gaussian Primes

Autor:	Das, Madhuparna
Rok vydání:	2019
Předmět:	Mathematics - Number Theory 11A41 11N05
Druh dokumentu:	Working Paper
Popis:	Bertrand's Postulate states about the prime distribution for the real numbers. The generalization of Bertrand's Postulate was proved by Das et al. [Arxiv 2018]. In this paper, we have formalized this idea for the Gaussian primes (or the primes on the complex plane). This result gives information about the prime distribution on the complex plane. Comment: The claim of Main Theorem 1 is wrong. The prime counting function on the complex plan does not satisfy the inequality. The prime number Theorem contradicts the claim
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.07086 Zobrazit plný text záznamu View this record from Arxiv