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linnik

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Appendix G - The Dispersion Method of Linnik
Kevin Broughan, University of Waikato, New Zealand
Book:

Bounded Gaps Between Primes

Published online:

10 September 2021

Print publication:

25 February 2021, pp 522-527
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Summary

This appendix first defines a form of the disperson method of Linnik for a particular class of integer equations, and then gives the result of its application to several examples due to Linnik, namely to an additive divisor problem, to norms in different algebraic number fields,counting the number of solutions to expressing a natural number as a sum of two squares plus an 2-almost prime, and to a Titchmarsh divisor problem. A not well known conjecture of Euler is stated as a challenge problem for the method.