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The Resource Characters and cyclotomic fields in finite geometry, Bernhard Schmidt

Characters and cyclotomic fields in finite geometry, Bernhard Schmidt

Label
Characters and cyclotomic fields in finite geometry
Title
Characters and cyclotomic fields in finite geometry
Statement of responsibility
Bernhard Schmidt
Creator
Subject
Language
eng
Member of
Additional physical form
Also available via the World Wide Web. Contents and references available without subscription.
Cataloging source
DLC
http://library.link/vocab/creatorDate
1967-
http://library.link/vocab/creatorName
Schmidt, Bernhard
Dewey number
  • 510 s
  • 516/.13
Index
index present
LC call number
  • QA3
  • QA167.2
LC item number
.L28 no. 1797
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1797
http://library.link/vocab/subjectName
  • Finite geometries
  • Difference sets
  • Cyclotomy
Label
Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [91]-98) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 1.1. The nature of the problems -- 1.2. The combinatorial structures in question -- 1.3. Group rings, characters, Fourier analysis -- 1.4. Number theoretic tools -- 1.5. Algebraic-combinatorial tools -- 2. The field descent -- 2.1. The fixing theorem -- 2.2. Prescribed absolute value -- 2.3. Bounding the absolute value -- 2.4. The modulus equation and class groups -- 3. Exponent bounds -- 3.1. Self-conjugacy exponent bounds -- 3.2. Field descent exponent bounds -- 4. Two-weight irreducible cyclic codes -- 4.1. A necessary and sufficient condition -- 4.2. All two-weight irreducible cyclic codes? -- 4.3. Partial proof of Conjecture 4.2.4 -- 4.4. Two-intersection sets and sub-difference sets
Control code
50520404
Dimensions
24 cm
Extent
viii, 100 pages
Isbn
9783540442431
Isbn Type
(alk. paper)
Lccn
2002032397
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
Publication
Bibliography note
Includes bibliographical references (pages [91]-98) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 1.1. The nature of the problems -- 1.2. The combinatorial structures in question -- 1.3. Group rings, characters, Fourier analysis -- 1.4. Number theoretic tools -- 1.5. Algebraic-combinatorial tools -- 2. The field descent -- 2.1. The fixing theorem -- 2.2. Prescribed absolute value -- 2.3. Bounding the absolute value -- 2.4. The modulus equation and class groups -- 3. Exponent bounds -- 3.1. Self-conjugacy exponent bounds -- 3.2. Field descent exponent bounds -- 4. Two-weight irreducible cyclic codes -- 4.1. A necessary and sufficient condition -- 4.2. All two-weight irreducible cyclic codes? -- 4.3. Partial proof of Conjecture 4.2.4 -- 4.4. Two-intersection sets and sub-difference sets
Control code
50520404
Dimensions
24 cm
Extent
viii, 100 pages
Isbn
9783540442431
Isbn Type
(alk. paper)
Lccn
2002032397
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

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