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DISTRIBUTION OF INTEGERS WITH PRESCRIBED STRUCTURE AND APPLICATIONS

Part of: Diophantine approximation, transcendental number theory Exponential sums and character sums Multiplicative number theory Additive number theory; partitions

Published online by Cambridge University Press:  19 October 2020

KAM HUNG YAU Open the ORCID record for KAM HUNG YAU [Opens in a new window]
KAM HUNG YAU*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Kensington, New South Wales, 2052, Australia
*
e-mail: [email protected]
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Abstract

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Keywords

character sumHarman sieveKloostermann sumlocal modelsmooth numbers

MSC classification

Primary: 11N25: Distribution of integers with specified multiplicative constraints
Secondary: 11J20: Inhomogeneous linear forms 11L05: Gauss and Kloosterman sums; generalizations 11L40: Estimates on character sums 11N36: Applications of sieve methods 11P32: Goldbach-type theorems; other additive questions involving primes
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 3 , June 2021 , pp. 509 - 511
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of New South Wales in February 2020; degree approved on 10 June 2020; supervisors Igor Shparlinski and Liangyi Zhao.

References

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