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The Geodesic Geometry of Arithmetic ...

Purdue University.

The Geodesic Geometry of Arithmetic Orbifolds.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	The Geodesic Geometry of Arithmetic Orbifolds./
Author:	Miller, Nicholas.
Description:	1 online resource (88 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-03(E), Section: B.
Contained By:	Dissertation Abstracts International79-03B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355257403

The Geodesic Geometry of Arithmetic Orbifolds.
Miller, Nicholas.

The Geodesic Geometry of Arithmetic Orbifolds. - 1 online resource (88 pages)

Source: Dissertation Abstracts International, Volume: 79-03(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In this thesis, we prove several results concerning the geodesic geometry of arithmetic orbifolds. These results come in three flavors: 1) quantitative results on the failure of length spectral rigidity for a certain class of arithmetic lattices 2) constructions of pairs of non-commensurable arithmetic manifolds with locally isomorphic lattices and 3) a prime geodesic theorem on arithmetic progressions in the primitive length spectrum.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355257403Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

The Geodesic Geometry of Arithmetic Orbifolds.
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035 $a (MiAaPQ)purdue:21561
035 $a AAI10601100
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Miller, Nicholas. $3 1180837
245 1 4 $a The Geodesic Geometry of Arithmetic Orbifolds.
264 0 $c 2017
300 $a 1 online resource (88 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-03(E), Section: B.
500 $a Adviser: David B. McReynolds.
502 $a Thesis (Ph.D.) $c Purdue University $d 2017.
504 $a Includes bibliographical references
520 $a In this thesis, we prove several results concerning the geodesic geometry of arithmetic orbifolds. These results come in three flavors: 1) quantitative results on the failure of length spectral rigidity for a certain class of arithmetic lattices 2) constructions of pairs of non-commensurable arithmetic manifolds with locally isomorphic lattices and 3) a prime geodesic theorem on arithmetic progressions in the primitive length spectrum.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Purdue University. $b Mathematics. $3 1180530
773 0 $t Dissertation Abstracts International $g 79-03B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10601100 $z click for full text (PQDT)

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