Function field arithmetic:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ [u.a.]
World Scientific
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 388 S. |
| ISBN: | 9812388397 9789812388391 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV024609844 | ||
| 003 | DE-604 | ||
| 005 | 20120712 | ||
| 007 | t | ||
| 008 | 090924s2004 |||| 00||| eng d | ||
| 020 | |a 9812388397 |9 981-238-839-7 | ||
| 020 | |a 9789812388391 |9 978-981-238-839-1 | ||
| 035 | |a (OCoLC)54677693 | ||
| 035 | |a (DE-599)BVBBV024609844 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-20 |a DE-19 |a DE-11 |a DE-355 |a DE-91G | ||
| 050 | 0 | |a QA247 | |
| 082 | 0 | |a 512/.3 |2 22 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a MAT 144f |2 stub | ||
| 084 | |a 12E30 |2 msc | ||
| 084 | |a MAT 125f |2 stub | ||
| 100 | 1 | |a Thakur, Dinesh S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Function field arithmetic |c by Dinesh S. Thakur |
| 264 | 1 | |a River Edge, NJ [u.a.] |b World Scientific |c 2004 | |
| 300 | |a XV, 388 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Algebraïsche oppervlakken |2 gtt | |
| 650 | 7 | |a Aritmetische functies |2 gtt | |
| 650 | 4 | |a Corps algébriques | |
| 650 | 4 | |a Drinfeld, Modules de | |
| 650 | 4 | |a Fonctions arithmétiques | |
| 650 | 4 | |a Algebraic fields | |
| 650 | 4 | |a Arithmetic functions | |
| 650 | 4 | |a Drinfeld modules | |
| 650 | 0 | 7 | |a Zahlkörper |0 (DE-588)4067273-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Drinfeld-Modul |0 (DE-588)4132653-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionenkörper |0 (DE-588)4155688-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Zahlkörper |0 (DE-588)4067273-6 |D s |
| 689 | 0 | 1 | |a Funktionenkörper |0 (DE-588)4155688-4 |D s |
| 689 | 0 | 2 | |a Drinfeld-Modul |0 (DE-588)4132653-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018582639&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018582639 | ||
Datensatz im Suchindex
| _version_ | 1804140626357256192 |
|---|---|
| adam_text | FUNCTION FIELD R I T H M ET I C- BY DINESH S. THAKUR UNIVERSITY OF
ARIZONA, USA WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * SHANGHAI
* HONGKONG * TAIPEI * CHENNAI CONTENTS 1. NUMBER FIELDS AND FUNCTION
FIELDS 1 1.1 GLOBAL FIELDS: BASIC ANALOGIES AND CONTRASTS 1 1.2 GENUS
AND RIEMANN-ROCH THEOREM 9 1.3 ZETA FUNCTION AND CLASS GROUP 13 1.4
CLASS FIELD THEORY AND GALOIS GROUP 20 2. DRINFELD MODULES 31 2.1
CARLITZ MODULE AND RELATED ARITHMETICAL OBJECTS 31 2.2 DRINFELD MODULES:
BASIC DEFINITIONS 34 2.3 TORSION POINTS 39 2.4 ANALYTIC THEORY 41 2.5
EXPLICIT CALCULATIONS FOR CARLITZ MODULE 44 2.6 REDUCTIONS 48 2.7
ENDOMORPHISMS 50 2.8 FIELD OF DEFINITION 52 2.9 POINTS ON DRINFELD
MODULES 53 2.10 ADJOINTS AND DUALITY 54 2.11 USEFUL TOOLS IN
NON-ARCHIMEDEAN OR FINITE FIELD SETTING . ... 56 (A) PROPERTIES OF K{R}
57 (B) MOORE DETERMINANT 58 (C) G-RESULTANTS 58 (D) NON-ARCHIMEDEAN
CALCULUS 59 (E) DWORK S TRACE FORMULA 61 XII CONTENTS 3. EXPLICIT CLASS
FIELD THEORY 63 3.1 TORSION OF RANK ONE DRINFELD MODULES 64 3.2 SIGN
NORMALIZATION OF THE TOP COEFFICIENT 68 3.3 NORMALIZING FIELD AS A CLASS
FIELD 70 3.4 SMALLEST FIELD OF DEFINITION AS A CLASS FIELD 73 3.5 RING
OF DEFINITION 74 3.6 CYCLOTOMIC FIELDS 76 3.7 MODULI APPROACH 77 3.8
SUMMARY 79 3.9 MAXIMAL ABELIAN EXTENSION 80 3.10 CYCLOTOMIC THEORY OF
Q [T] 82 3.11 CYCLOTOMIC UNITS AND CONJECTURES OF BRUMER AND STARK ...
83 3.12 SOME CONTRASTS AND OPEN QUESTIONS 85 4. GAUSS SUMS AND GAMMA
FUNCTIONS 87 4.1 GAUSS AND JACOBI SUMS: DEFINITIONS 88 4.2 GAUSS AND
JACOBI SUMS: Q [T] CASE 91 4.3 GAUSS AND JACOBI SUMS: GENERAL A 94 4.4
SIGN OF GAUSS SUMS FOR Q [T] 99 4.5 ARITHMETIC FACTORIAL AND GAMMA:
DEFINITIONS 101 (A) Q [T] CASE 101 (B) GENERAL A 103 4.6 FUNCTIONAL
EQUATIONS IN ARITHMETIC CASE 105 4.7 SPECIAL VALUES FOR ARITHMETIC TOO
109 (A) PERIODS: W Q [T] CASE 109 (B) PERIODS: GENERAL A 110 4.8 SPECIAL
VALUES OF ARITHMETIC F V 113 (A) F Q [I] CASE: ANALOG OF GROSS-KOBLITZ .
113 (B) GENERAL A 114 4.9 GEOMETRIC FACTORIAL AND GAMMA: DEFINITIONS 116
4.10 FUNCTIONAL EQUATIONS IN GEOMETRIC CASE 118 4.11 SPECIAL VALUES OF
GEOMETRIC F ARID T V : Q [T] CASE 122 4.12 COMPARISONS AND UNIFORM
FRAMEWORK 124 4.13 MORE ANALOGIES FOR Q [T : DIVISIBILITIES 130 4.14
BINOMIAL COEFFICIENTS 132 (A) BINOMIAL COEFFICIENTS AS NICE BASIS . .
134 (B) DIFFERENCE AND DIFFERENTIATION OPERATORS 136 4.15 RELATIONS
BETWEEN THE TWO NOTIONS OF BINOMIALS 138 CONTENTS XIII 4.16 BERNOULLI
NUMBERS AND POLYNOMIALS 142 4.17 NOTE ON FINITE DIFFERENCES AND
Q-ANALOGS 149 5. ZETA FUNCTIONS 153 5.1 ZETA VALUES AT INTEGERS:
DEFINITIONS 154 5.2 VALUES AT POSITIVE INTEGERS 158 5.3 VALUES AT
NON-POSITIVE INTEGERS 162 5.4 MULTIPLICITIES OF TRIVIAL ZEROS 166 5.5
ZETA FUNCTION INTERPOLATION ON CHARACTER SPACE 170 (A) OO-ADIC
INTERPOLATION 170 (B) P ADIC INTERPOLATION 173 5.6 POWER SUMS 174 5.7
ZETA MEASURE 176 5.8 ZERO DISTRIBUTION 178 5.9 LOW VALUES AND
MULTI-LOGARITHMS 182 5.10 MULTIZETA VALUES 185 (A) COMPLEX VALUED
MULTIZETA 186 (B) FINITE CHARACTERISTIC VARIANTS 187 (C) INTERPOLATIONS
195 5.11 ANALYTIC PROPERTIES OF ZETA AND FREDHOLM DETERMINANT . . . 197
5.12 NOTE ON CLASSICAL INTERPOLATIONS 199 6. HIGHER RANK THEORY 205 6.1
ELLIPTIC MODULES 205 6.2 MODULAR FORMS 209 6.3 GALOIS REPRESENTATIONS
213 6.4 DERHAM COHOMOLOGY .218 (A) ELLIPTIC CURVES CASE: MOTIVATION ...
219 (B) DRINFELD MODULES CASE 221 6.5 HYPERGEOMETRIC FUNCTIONS 226 (A)
THE FIRST ANALOG 227 (B) THE SECOND ANALOG 233 7. HIGHER DIMENSIONS AND
GEOMETRIC TOOLS 237 7.1 I-MODULES AND ^-MOTIVES 239 7.2 TORSION 244 7.3
PURITY 244 7.4 EXPONENTIAL, PERIOD LATTICE AND UNIFORMIZABILITY 247 XIV
CONTENTS 7.5 COHOMOLOGY REALIZATIONS 253 7.6 EXAMPLE: CARLITZ-TATE TWIST
C N 254 7.7 DRINFELD DICTIONARY IN THE SIMPLEST CASE 256 7.8
KRICHEVER/DRINFELD DICTIONARY IN MORE GENERALITY 260 8. APPLICATIONS TO
GAUSS SUMS, GAMMA AND ZETA VALUES 265 8.1 C N AND (N) 266 8.2 SHTUKA
AND JACOBI SUMS 267 (A) GAUSS SUMS AND THETA DIVISOR .... 269 (B)
EXAMPLES AND APPLICATIONS 269 (C) THE CASE G = D^ = 1 271 8.3 ANOTHER
GAMMA FUNCTION 273 (A) ANALOG OF GROSS-KOBLITZ 276 (B) INTERPOLATION AT
OO FOR NEW GAMMA . 276 8.4 FERMAT MOTIVES AND SOLITONS 280 8.5 ANOTHER
APPROACH TO SOLITONS 286 8.6 ANALOG OF GROSS-KOBLITZ FOR GEOMETRIC
GAMMA: Q [T] CASE . 290 8.7 WHAT IS KNOWN OR EXPECTED IN GENERAL CASE?
290 8.8 GAMMA VALUES TO PERIODS CONNECTION VIA SOLITONS: SKETCH . 293
8.9 LOG-ALGEBRAICITY, CYCLOTOMIC MODULE AND VANDIVER CONJECTURE 295 8.10
EXPLICIT LOG-ALGEBRAICITY FORMULAS 298 9. DIOPHANTINE APPROXIMATION 303
9.1 APPROXIMATION EXPONENTS 304 9.2 GOOD APPROXIMATIONS: CONTINUED
FRACTIONS 306 9.3 RANGE OF EXPONENTS : FROBENIUS 312 9.4 RANGE OF
EXPONENTS: DIFFERENTIATION 319 9.5 CONNECTION WITH DEFORMATION THEORY
322 (A) HEIGHT INEQUALITIES FOR ALGEBRAIC POINTS 323 (B) EXPONENT
HIERARCHY 324 (C) APPROXIMATION BY ALGEBRAIC FUNCTIONS 325 9.6 NOTE ON
CONNECTION WITH DIOPHANTINE EQUATIONS 326 10. TRANSCENDENCE RESULTS 329
10.1 APPROXIMATION TECHNIQUES AND IRRATIONALITY 330 10.2 TRANSCENDENCE
RESULTS ON DRINFELD MODULES 331 10.3 APPLICATION TO ZETA AND GAMMA
VALUES 334 10.4 TRANSCENDENCE RESULTS IN HIGHER DIMENSIONS 335 CONTENTS
XV 10.5 APPLICATION TO ZETA AND GAMMA VALUES 337 11. AUTOMATA AND
ALGEBRAICITY: APPLICATIONS 341 11.1 AUTOMATA AND ALGEBRAICITY 341 11.2
SOME USEFUL AUTOMATA TOOLS 347 11.3 APPLICATIONS TO TRANSCENDENCE OF
GAMMA VALUES AND MONOMIALS 348 11.4 APPLICATIONS TO TRANSCENDENCE:
PERIODS AND MODULAR FUNCTIONS353 11.5 CLASSIFYING FINITE CHARACTERISTIC
NUMBERS 355 11.6 COMPUTATIONAL CLASSES AND BASIC TOOLS 357 11.7
ALGEBRAIC PROPERTIES OF COMPUTATIONAL CLASSES 360 11.8 APPLICATIONS TO
REFINED TRANSCENDENCE 364 NOTE ON THE NOTATION 371 BIBLIOGRAPHY 373
|
| any_adam_object | 1 |
| author | Thakur, Dinesh S. |
| author_facet | Thakur, Dinesh S. |
| author_role | aut |
| author_sort | Thakur, Dinesh S. |
| author_variant | d s t ds dst |
| building | Verbundindex |
| bvnumber | BV024609844 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| classification_tum | MAT 144f MAT 125f |
| ctrlnum | (OCoLC)54677693 (DE-599)BVBBV024609844 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01899nam a2200529 c 4500</leader><controlfield tag="001">BV024609844</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120712 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090924s2004 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812388397</subfield><subfield code="9">981-238-839-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812388391</subfield><subfield code="9">978-981-238-839-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)54677693</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV024609844</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.3</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 144f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">12E30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 125f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Thakur, Dinesh S.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Function field arithmetic</subfield><subfield code="c">by Dinesh S. Thakur</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">River Edge, NJ [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 388 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebraïsche oppervlakken</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Aritmetische functies</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Corps algébriques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Drinfeld, Modules de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions arithmétiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic fields</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Arithmetic functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Drinfeld modules</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlkörper</subfield><subfield code="0">(DE-588)4067273-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Drinfeld-Modul</subfield><subfield code="0">(DE-588)4132653-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionenkörper</subfield><subfield code="0">(DE-588)4155688-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahlkörper</subfield><subfield code="0">(DE-588)4067273-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Funktionenkörper</subfield><subfield code="0">(DE-588)4155688-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Drinfeld-Modul</subfield><subfield code="0">(DE-588)4132653-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018582639&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018582639</subfield></datafield></record></collection> |
| id | DE-604.BV024609844 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:02:58Z |
| institution | BVB |
| isbn | 9812388397 9789812388391 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018582639 |
| oclc_num | 54677693 |
| open_access_boolean | |
| owner | DE-83 DE-20 DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| owner_facet | DE-83 DE-20 DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| physical | XV, 388 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Thakur, Dinesh S. Verfasser aut Function field arithmetic by Dinesh S. Thakur River Edge, NJ [u.a.] World Scientific 2004 XV, 388 S. txt rdacontent n rdamedia nc rdacarrier Algebraïsche oppervlakken gtt Aritmetische functies gtt Corps algébriques Drinfeld, Modules de Fonctions arithmétiques Algebraic fields Arithmetic functions Drinfeld modules Zahlkörper (DE-588)4067273-6 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 gnd rswk-swf Funktionenkörper (DE-588)4155688-4 gnd rswk-swf Zahlkörper (DE-588)4067273-6 s Funktionenkörper (DE-588)4155688-4 s Drinfeld-Modul (DE-588)4132653-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018582639&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thakur, Dinesh S. Function field arithmetic Algebraïsche oppervlakken gtt Aritmetische functies gtt Corps algébriques Drinfeld, Modules de Fonctions arithmétiques Algebraic fields Arithmetic functions Drinfeld modules Zahlkörper (DE-588)4067273-6 gnd Drinfeld-Modul (DE-588)4132653-2 gnd Funktionenkörper (DE-588)4155688-4 gnd |
| subject_GND | (DE-588)4067273-6 (DE-588)4132653-2 (DE-588)4155688-4 |
| title | Function field arithmetic |
| title_auth | Function field arithmetic |
| title_exact_search | Function field arithmetic |
| title_full | Function field arithmetic by Dinesh S. Thakur |
| title_fullStr | Function field arithmetic by Dinesh S. Thakur |
| title_full_unstemmed | Function field arithmetic by Dinesh S. Thakur |
| title_short | Function field arithmetic |
| title_sort | function field arithmetic |
| topic | Algebraïsche oppervlakken gtt Aritmetische functies gtt Corps algébriques Drinfeld, Modules de Fonctions arithmétiques Algebraic fields Arithmetic functions Drinfeld modules Zahlkörper (DE-588)4067273-6 gnd Drinfeld-Modul (DE-588)4132653-2 gnd Funktionenkörper (DE-588)4155688-4 gnd |
| topic_facet | Algebraïsche oppervlakken Aritmetische functies Corps algébriques Drinfeld, Modules de Fonctions arithmétiques Algebraic fields Arithmetic functions Drinfeld modules Zahlkörper Drinfeld-Modul Funktionenkörper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018582639&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thakurdineshs functionfieldarithmetic |