Generalised power series determined by linear recurrence relations

Authors: Krapp, Lothar Sebastian, Kuhlmann, Salma, Serra, Michele

Contributors: University of Zurich, Serra, Michele

Source: Journal of Algebra. 681:152-189

Subject Terms: Hahn fields, Lifting properties, 410 Linguistics, Mathematics - Logic, 10104 ISLE Institute, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, Rational function fields, 13J05 (16W60 12J10 06F20), Linear recurrence, 490 Other languages, FOS: Mathematics, Automorphism groups, 890 Other literatures, 0101 mathematics, Logic (math.LO), Generalised formal power series, 2602 Algebra and Number Theory, Rayner fields

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Access URL: http://arxiv.org/abs/2206.04126

A New Construction of Nonlinear Codes via Rational Function Fields

Authors: Jin, L., Ma, L., Xing, C.

Source: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 67(2):770-777 Feb, 2021

Construction of Optimal Locally Repairable Codes via Automorphism Groups of Rational Function Fields

Authors: Jin, L., Ma, L., Xing, C.

Source: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 66(1):210-221 Jan, 2020

An extension of Aigner’s theorem

Authors: Tho, Nguyen Xuan^{Aff1, IDs00605023019133_cor1}

Source: Monatshefte für Mathematik. :1-5

Splitting of differential quaternion algebras

Authors: Gupta, Parul, Kaur, Yashpreet ^⁎, Singh, Anupam

Source: In Journal of Algebra 1 November 2023 633:43-55

Splitting fields of differential symbol algebras

Authors: Gupta, Parul ^⁎, Kaur, Yashpreet, Singh, Anupam

Source: In Journal of Pure and Applied Algebra May 2023 227(5)

A new metric on symmetric groups and applications to block permutation codes

Authors: Zhang, Zihan^{Aff1, Aff2, IDs10623023011976_cor1}

Source: Designs, Codes and Cryptography: An International Journal. 91(6):2255-2271

The sixth power moment of Dirichlet L-functions over rational function fields

Authors: Djanković, Goran, Đokić, Dragan ^⁎

Source: In Journal of Mathematical Analysis and Applications 1 October 2022 514(1)

Linkage of Pfister forms over ℂ(x1,…,xn)

Authors: Chapman, Adam, Tignol, Jean-Pierre

Contributors: UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique

Source: Annals of K-theory, Vol. 4, no.3, p. 521-524 (2019)
Ann. K-Theory 4, no. 3 (2019), 521-524

Subject Terms: rational function fields, 11E81, 11E04, 19D45, 11E81, 0103 physical sciences, 11E04, FOS: Mathematics, 0101 mathematics, linkage, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, quadratic forms, 19D45

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Access URL: http://arxiv.org/pdf/1903.02776
http://arxiv.org/abs/1903.02776
https://ui.adsabs.harvard.edu/abs/2019arXiv190302776C/abstract
https://arxiv.org/pdf/1903.02776
https://arxiv.org/abs/1903.02776
https://projecteuclid.org/journals/annals-of-k-theory/volume-4/issue-3/Linkage-of-Pfister-forms-over-mathbb-Cx_1ldotsx_n/10.2140/akt.2019.4.521.full
https://dial.uclouvain.be/pr/boreal/object/boreal:224032
https://msp.org/akt/2019/4-3/p06.xhtml
https://msp.org/akt/2019/4-3/akt-v4-n3-p06-s.pdf
https://hdl.handle.net/2078.1/224032
https://projecteuclid.org/euclid.akt/1578020478

On the third moment of [formula omitted] I: The rational function field case

Authors: Diaconu, Adrian

Source: In Journal of Number Theory May 2019 198:1-42

An Elementary Proof of the Law of Quadratic Reciprocity over Function Fields

Authors: Ji, Chun-Gang, Xue, Yan

Source: Proceedings of the American Mathematical Society, 2008 Sep 01. 136(9), 3035-3039.

Access URL: http://dx.doi.org/10.1090/S0002-9939-08-09327-1

A Construction of Permutation Codes From Rational Function Fields and Improvement to the Gilbert–Varshamov Bound

Authors: Jin, L.

Source: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 62(1):159-162 Jan, 2016

Selberg Sums: A New Perspective

Authors: Patterson, Samuel J.^Aff4

Contributors: Sander, Jürgen, editor^Aff1, Steuding, Jörn, editor^Aff2, Steuding, Rasa, editor^Aff3

Source: From Arithmetic to Zeta-Functions : Number Theory in Memory of Wolfgang Schwarz. :353-365

Valuations on rational function fields that are invariant under permutation of the variables

Authors: Kuhlmann, F.-V. ^{a, ⁎}, Kuhlmann, K. ^a, Vişan, C. ^b

Source: In Journal of Algebra 15 October 2016 464:279-296

Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic: Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic.

Authors: Thanases Pheidas

Source: Journal of Algebra. 273:395-411

Subject Terms: Decidability (number-theoretic aspects), rational function fields, Algebra and Number Theory, Arithmetic theory of algebraic function fields, decidability, elliptic curves, Elliptic curves, Decidability, 0101 mathematics, 01 natural sciences, Rational function fields

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Access URL: https://www.sciencedirect.com/science/article/pii/S002186930300512X
https://core.ac.uk/display/82397979

Construction of binary linear codes via rational function fields

Authors: Jin, Lingfei, Kan, Haibin

Source: Designs, Codes and Cryptography: An International Journal. June 2017 83(3):633-638

Building counterexamples to generalizations for rational functions of Ritt's decomposition theorem

Authors: Jaime Gutierrez, David Sevilla

Source: Journal of Algebra. 303:655-667

Subject Terms: Computer Science - Symbolic Computation, FOS: Computer and information sciences, Algebra and Number Theory, 68W30, 0102 computer and information sciences, Symbolic Computation (cs.SC), Mathematics - Commutative Algebra, 12Y05, Commutative Algebra (math.AC), 01 natural sciences, Rational function fields, Ritt's decomposition theorem, FOS: Mathematics, 13P99, 0101 mathematics

Access URL: http://arxiv.org/abs/0804.1687
https://arxiv.org/abs/0804.1687
http://core.ac.uk/display/24740021
http://www.sciencedirect.com/science/article/pii/S0021869306004157
https://www.sciencedirect.com/science/article/pii/S0021869306004157
https://dblp.uni-trier.de/db/journals/corr/corr0804.html#0001S08

Triangulations

Authors: Claude Itzykson, Michel Bauer

Source: The Grothendieck Theory of Dessins d'Enfants ISBN: 9780521478212

Subject Terms: algebraic curves, modular groups, Topology of the Euclidean \(2\)-space, \(2\)-manifolds, triangulations, Triangulating, surfaces, 01 natural sciences, gravity, Theoretical Computer Science, rational function fields, number theory, hypergraphs, 0103 physical sciences, solitons, Discrete Mathematics and Combinatorics, 0101 mathematics

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Access URL: http://ebooks.cambridge.org/ref/id/CBO9780511569302A014

Value groups, residue fields, and bad places of rational function fields

Authors: Franz-Viktor Kuhlmann

Source: Transactions of the American Mathematical Society. 356:4559-4600

Subject Terms: Ordered fields, construction of extensions with prescribed value groups and residue fields, FOS: Mathematics, 0101 mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Valued fields, 12J10 (Primary), 12J15 (Secondary), 16W60, 01 natural sciences, Valuations, completions, formal power series and related constructions (associative rings and algebras), extensions of valuations to rational function fields

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Access URL: https://www.ams.org/tran/2004-356-11/S0002-9947-04-03463-4/S0002-9947-04-03463-4.pdf
http://arxiv.org/abs/1003.5685
https://www.ams.org/journals/tran/2004-356-11/S0002-9947-04-03463-4/
https://www.jstor.org/stable/3844935

Шести момент Дирихлеових L-функција над рационалним функцијским пољима

Authors: Đokić, Dragan Z.

Contributors: Đanković, Goran, Lipkovski, Aleksandar, Radovanović, Marko, Stankov, Dragan, Stojadinović, Tanja

Source: Универзитет у Београду

Subject Terms: Дирихлеове L-функције, моменти L-функција, рационална функцијска поља, Теорија случајних матрица, Хајесове L-функције, Dirichlet L-functions, moments of L-functions, rational function fields, Random matrix theory, Hayes L-functions

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Access URL: http://nardus.mpn.gov.rs/bitstream/id/161527/Izvestaj_Komisije_15670.pdf
https://hdl.handle.net/21.15107/rcub_nardus_22531
https://nardus.mpn.gov.rs/handle/123456789/22531
https://eteze.bg.ac.rs/application/showtheses?thesesId=9673
https://fedorabg.bg.ac.rs/fedora/get/o:33888/bdef:Content/download
http://nardus.mpn.gov.rs/bitstream/id/161526/Disertacija_15670.pdf
https://plus.cobiss.net/cobiss/sr/sr/bib/145087241