The twin prime conjecture
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DOI: 10.1007/s11537-019-1837-z
Abstract: The Twin Prime Conjecture asserts that there should be infinitely many pairs of primes which differ by 2. Unfortunately this long-standing conjecture remains open, but recently there has been several dramatic developments making partial progress.… read more here.
Keywords: twin prime; conjecture; prime conjecture;
Twin-prime and Goldbach theorems for Z[[x]]
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DOI: 10.1016/j.jnt.2019.12.019
Abstract: Abstract We show that an element f in the ring Z [ [ x ] ] of formal power series over the integers is a sum of two irreducible elements in Z [ [ x… read more here.
Keywords: twin prime; prime goldbach; goldbach theorems;
Cubic Twin Prime Polynomials are Counted by a Modular Form
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DOI: 10.4153/cjm-2018-018-9
Abstract: Abstract We present the geometry behind counting twin prime polynomials in $\mathbb{F}_{q}[T]$ in general. We compute cohomology and explicitly count points by means of a twisted Lefschetz trace formula applied to these parametrizing varieties for… read more here.
Keywords: prime polynomials; geometry; modular form; twin prime ... See more keywords