"Proportion of zeros on the critical line" · 2 results · Global ETD Search

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Partition asymptotics; zeros of zeta functions; and Apéry-like numbers

Malik, AmitaUniversity of Illinois at Urbana-Champaign2017

… Ramanujan established an asymptotic formula for the number of unrestricted partitions of a positive integer, and claimed a similar asymptotic formula for the number of partitions into perfect kth powers, which was later proved by E. M. Wright. Recently, R. C. Vaughan provided a simpler asymptotic …

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Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions

Roy, ArindamUniversity of Illinois at Urbana-Champaign2015

Made available in DSpace on 2015-09-29T20:38:57Z (GMT). No. of bitstreams: 2 ROY-DISSERTATION-2015.pdf: 821854 bytes, checksum: 7abf6b7f9b1c512d8963ac66590c92b7 (MD5) LICENSE.txt: 4208 bytes, checksum: 502c6a39161a3e8620cd8507bf46885c (MD5) Previous issue date: 2015-08-03

uiuc Repository record for Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions (opens in a new tab)