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The Arithmetic of Function Fields : : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / / ed. by David Goss, David R. Hayes, Michael Rosen.

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Superior document:	Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
MitwirkendeR:	Anderson, G. W., Car, M., Chapman, R. J., Damamme, G., Denis, L., Dummit, D. S., Feng, Keqin, Friesen, C., Gekeler, E. - U., Gekeler, E.-U., Goss, David, Hayes, David R., Hellegouarch, Y., Oukhaba, H., Payne, G., Reversat, M., Reversat, Marc, Taguchi, Yuichiro, Teitelbaum, Jeremy, Thakur, D. S., Thiery, Alain, Vaserstein, L. N., Vaserstein, L., Wan, Daqing, Yu, Jing, de Shalit, E.,
HerausgeberIn:	Goss, David, Hayes, David R., Rosen, Michael,
Place / Publishing House:	Berlin ;, Boston : : De Gruyter, , [2011] ©1992
Year of Publication:	2011
Edition:	Reprint 2011
Language:	English
Series:	Ohio State University Mathematical Research Institute Publications , 2
Online Access:	https://doi.org/10.1515/9783110886153 https://www.degruyter.com/isbn/9783110886153 Cover
Physical Description:	1 online resource (482 p.) :; Num. figs.
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spelling	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / ed. by David Goss, David R. Hayes, Michael Rosen. Reprint 2011 Berlin ; Boston : De Gruyter, [2011] ©1992 1 online resource (482 p.) : Num. figs. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Ohio State University Mathematical Research Institute Publications , 0942-0363 ; 2 Frontmatter -- Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number “Parity” for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Algebraic fields Congresses. Drinfeld modules Congresses. Algebraischer Funktionenkörper. Arithmetic. MATHEMATICS / General. bisacsh Anderson, G. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Car, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chapman, R. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Damamme, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Denis, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dummit, D. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Feng, Keqin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Friesen, C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gekeler, E. - U., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gekeler, E.-U., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goss, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goss, David, editor. edt http://id.loc.gov/vocabulary/relators/edt Hayes, David R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hayes, David R., editor. edt http://id.loc.gov/vocabulary/relators/edt Hellegouarch, Y., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Oukhaba, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Payne, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Reversat, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Reversat, Marc, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rosen, Michael, editor. edt http://id.loc.gov/vocabulary/relators/edt Taguchi, Yuichiro, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Teitelbaum, Jeremy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thakur, D. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thiery, Alain, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vaserstein, L. N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vaserstein, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wan, Daqing, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yu, Jing, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb de Shalit, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS 9783110306569 ZDB-23-DBI print 9783110131710 https://doi.org/10.1515/9783110886153 https://www.degruyter.com/isbn/9783110886153 Cover https://www.degruyter.com/document/cover/isbn/9783110886153/original
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title	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 /
spellingShingle	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / Ohio State University Mathematical Research Institute Publications , Frontmatter -- Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number “Parity” for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary -- Backmatter
title_sub	Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 /
title_full	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / ed. by David Goss, David R. Hayes, Michael Rosen.
title_fullStr	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / ed. by David Goss, David R. Hayes, Michael Rosen.
title_full_unstemmed	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / ed. by David Goss, David R. Hayes, Michael Rosen.
title_auth	The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 /
title_alt	Frontmatter -- Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number “Parity” for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary -- Backmatter
title_new	The Arithmetic of Function Fields :
title_sort	the arithmetic of function fields : proceedings of the workshop at the ohio state university, june 17-26, 1991 /
series	Ohio State University Mathematical Research Institute Publications ,
series2	Ohio State University Mathematical Research Institute Publications ,
publisher	De Gruyter,
publishDate	2011
physical	1 online resource (482 p.) : Num. figs. Issued also in print.
edition	Reprint 2011
contents	Frontmatter -- Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number “Parity” for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary -- Backmatter
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callnumber-first	Q - Science
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illustrated	Not Illustrated
dewey-hundreds	500 - Science
dewey-tens	510 - Mathematics
dewey-ones	512 - Algebra
dewey-full	512/.74
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doi_str_mv	10.1515/9783110886153
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Hayes, Michael Rosen.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2011</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (482 p.) :</subfield><subfield code="b">Num. figs.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Ohio State University Mathematical Research Institute Publications ,</subfield><subfield code="x">0942-0363 ;</subfield><subfield code="v">2</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">A Brief Introduction to Drinfeld Modules -- </subfield><subfield code="t">Galois Calculus and Carlitz Exponentials -- </subfield><subfield code="t">A Two-Dimensional Analogue of Stickelberger's Theorem -- </subfield><subfield code="t">On Gamma Functions for Function Fields -- </subfield><subfield code="t">Groups of Elliptic Units in Global Function Fields -- </subfield><subfield code="t">Class Number “Parity” for Cyclic Function Fields -- </subfield><subfield code="t">Genus Two Hyperelliptic Drinfeld Modules over F2 -- </subfield><subfield code="t">A Short Introduction to Rigid Analytic Spaces -- </subfield><subfield code="t">Lecture on Rigid Geometry -- </subfield><subfield code="t">Moduli for Drinfeld Modules -- </subfield><subfield code="t">Ramifications Arising from Drinfeld Modules -- </subfield><subfield code="t">Rigid Analytic Modular Forms: An Integral Transform Approach -- </subfield><subfield code="t">Some Results on the Jacobians of Drinfeld Modular Curves -- </subfield><subfield code="t">Some Integrals Attached to Modular Forms in the Theory of Function Fields -- </subfield><subfield code="t">Transcendence in Finite Characteristic -- </subfield><subfield code="t">Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- </subfield><subfield code="t">Géométrie Diophantienne sur les Modules de Drinfeld -- </subfield><subfield code="t">Transcendence Properties of Carlitz Zeta-values -- </subfield><subfield code="t">L-series of t-motives and Drinfeld Modules -- </subfield><subfield code="t">Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- </subfield><subfield code="t">Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- </subfield><subfield code="t">The Circle Method and the Strict Waring Problem in Function Fields -- </subfield><subfield code="t">Ramsey's Theorem and Waring's Problem for Algebras over Fields -- </subfield><subfield code="t">Sums of Three Cubes -- </subfield><subfield code="t">Heights and Zeta Functions in Function Fields -- </subfield><subfield code="t">Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- </subfield><subfield code="t">Dictionary -- </subfield><subfield code="t">Backmatter</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Algebraic fields</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Drinfeld modules</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraischer Funktionenkörper.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Arithmetic.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Anderson, G. W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Car, M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chapman, R. 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The Arithmetic of Function Fields : : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / / ed. by David Goss, David R. Hayes, Michael Rosen.

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