On Primes Represented by Cubic Polynomials
Timothy Foo, Liangyi Zhao
TL;DR
This paper investigates the distribution of prime numbers within cubic polynomial progressions, providing average-case results that enhance understanding of prime distribution in such nonlinear sequences.
Contribution
It establishes a new theorem on the average distribution of primes in cubic polynomial sequences, advancing previous results in prime number theory.
Findings
Proves a theorem on primes in cubic progressions on average
Shows distribution patterns of primes in cubic sequences
Enhances understanding of nonlinear prime distributions
Abstract
In this paper, we prove a theorem on the distribution of primes in cubic progressions on average.
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Taxonomy
TopicsAnalytic Number Theory Research · Algebraic Geometry and Number Theory · Advanced Mathematical Identities