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Ford, Kevin Hildebrand, A. J. Berndt, Bruce C. Li, Xiaochun Meng, Xianchang 2017-09-29T17:56:28Z 2017-09-29T17:56:28Z 2017-07-07 2017-08 Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2017-09-29 without embargo terms The student, Xianchang Meng, accepted the attached license on 2017-07-06 at 14:12. The student, Xianchang Meng, submitted this Dissertation for approval on 2017-07-06 at 14:15. This Dissertation was approved for publication on 2017-07-07 at 13:55. DSpace SAF Submission Ingestion Package generated from Vireo submission #11326 on 2017-09-29 at 11:28:05 Made available in DSpace on 2017-09-29T17:56:28Z (GMT). No. of bitstreams: 3 MENG-DISSERTATION-2017.pdf: 948097 bytes, checksum: b085cac4137f73ce93d8450d26380595 (MD5) LICENSE.txt: 4211 bytes, checksum: d2084312323ccfd78089b1591814812c (MD5) PROQUEST_LICENSE.txt: 4557 bytes, checksum: 41e621f3990217de51b7ac2c75257c0b (MD5) Previous issue date: 2017-07-07 application/pdf http://hdl.handle.net/2142/98338 en Copyright 2017 Xianchang Meng Riemann zeta-function K-free numbers Primes in arithmetic progressions Dirichlet L-function The distribution of k-free numbers and integers with fixed number of prime factors text text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.