Barban-Davenport-Halberstam type theorems for exponential sums and Piatetski-Shapiro primes
S. I. Dimitrov
TL;DR
This paper proves three Barban-Davenport-Halberstam type theorems related to exponential sums and Piatetski-Shapiro primes, advancing understanding of their distribution and properties.
Contribution
It introduces new theorems extending classical results to exponential sums and Piatetski-Shapiro primes, filling gaps in their distributional analysis.
Findings
Established Barban-Davenport-Halberstam type theorems for exponential sums over primes.
Proved analogous theorems for Piatetski-Shapiro primes.
Extended classical distribution results to these specialized prime sets.
Abstract
In this paper we establish three Barban-Davenport-Halberstam type theorems. Namely for exponential sums over primes, for Piatetski-Shapiro primes and for exponential sums over Piatetski-Shapiro primes.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Advanced Mathematical Theories