Character Sums Over The Prime Numbers
N. A. Carella
TL;DR
This paper derives elementary estimates and an omega result for character sums over prime numbers, providing nontrivial bounds especially for large moduli, advancing understanding of prime-related character sums.
Contribution
It introduces new elementary bounds and an omega result for character sums over primes, particularly for large moduli, which were previously less understood.
Findings
Elementary estimates for character sums over primes.
Nontrivial bounds for large modulus q.
An omega result indicating growth behavior.
Abstract
A few elementary estimates of a basic character sum over the prime numbers are derived here. These estimates are nontrivial for character sums modulo large q. In addition, an omega result for character sums over the primes is also included.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Advanced Mathematical Identities