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METHOD:PUBLISH
X-WR-CALNAME:Ph.D. Thesis Defense
X-WR-TIMEZONE:America/New_York
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TZID:America/New_York
X-LIC-LOCATION:America/New_York
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
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DTSTART:19701101T020000
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160226T093000
DTEND;TZID=America/New_York:20160226T120000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31408
SUMMARY:Ph.D. Thesis Defense - "Asymptotic formulae in analytic number theo
ry"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Asymptotic formulae in a
nalytic number theory"\nSpeaker: Ayla Gafni - Adviser: R. Vaughan\, Penn
State\nAbstract Link: http://\nAbstract: This dissertation is composed of
two main results. The first is an asymptotic formula for $p^k(n)$\, the n
umber of partitions of a number $n$ into $k$-th powers. As an immediate c
onsequence of this formula\, we derive an asymptotic equivalence for $p^k(
n)$ which was claimed without proof in a 1918 paper of Hardy and Ramanujan
. The result is established using the Hardy-Littlewood circle method. As
a necessary step in the proof\, we obtain a non-trivial bound on exponent
ial sums of the form $\\sum_{m=1}^q e(am^k/q)$.\n\nThe second result is an
asymptotic formula for the number of rational points near planar curves.
More precisely\, if $f:\\mathbb{R}\\rightarrow\\mathbb{R}$ is a sufficien
tly smooth function defined on the interval $[\\eta\,\\xi]$\, then the num
ber of rational points with denominator no larger than $Q$ that lie within
a $\\delta$-neighborhood of the graph of $f$ is shown to be asymptoticall
y equivalent to $(\\xi-\\eta)\\delta Q^2$. This result has implications t
o the field of metric Diophantine approximation.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160301T100000
DTEND;TZID=America/New_York:20160301T123000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31409
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: Daniel Droz
- Adviser: Gary Mullen\, Penn State\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160314T153100
DTEND;TZID=America/New_York:20160314T172900
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=31410
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: William Che
n - Adviser: W. Li\, Penn State\nAbstract Link: http://
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