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Appendix G - The Dispersion Method of Linnik

Published online by Cambridge University Press:  10 September 2021

Kevin Broughan
Affiliation:
University of Waikato, New Zealand
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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.

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Bounded Gaps Between Primes
The Epic Breakthroughs of the Early Twenty-First Century
, pp. 522 - 527
Publisher: Cambridge University Press
Print publication year: 2021

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