Twin Primes Via Exceptional Characters
John B. Friedlander, Henryk Iwaniec
TL;DR
This paper explores how the assumption of exceptional characters influences the asymptotic behavior of twin prime counts, providing insights into their distribution.
Contribution
It presents a detailed account linking exceptional characters to twin prime asymptotics, advancing understanding of prime distribution under certain hypotheses.
Findings
Exceptional characters imply specific asymptotic formulas for twin primes.
The analysis clarifies the role of exceptional characters in prime distribution.
Provides a framework connecting character theory to twin prime counting functions.
Abstract
We give an account of the arguments that lead from the assumption of the existence of exceptional characters to the asymptotics in related ranges for the counting function of twin primes.
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