Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.586611
Title: Cyclotomic matrices over quadratic integer rings
Author: Greaves, Gary
Awarding Body: Royal Holloway, University of London
Current Institution: Royal Holloway, University of London
Date of Award: 2012
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Abstract:
This thesis has been motivated largely by Lehmer's problem [20], which was stated in 1933 and it is still a problem that mathematicians have not completely solved. The Mersenne sequence, (2n-1)nen has properties that make it useful for finding large primes but its terms become very large very fast. Lehmer's problem is related to finding large primes in sequences that are analogous to the Mersenne sequence but that grow as slowly as possible and Lehmer's conjecture implies a lower bound on the growth rate of any such sequence.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.586611  DOI: Not available
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