Yurkevich, Sergey Diagonal representation of algebraic power series: a glimpse behind the scenes. (English) Zbl 1499.13065 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 309-339 (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Vargas-Montoya, Daniel Algebraicity modulo \(p\), hypergeometric series and strong Frobenius structure. (Algébricité modulo \(p\), séries hypergéométriques et structures de Frobenius fortes.) (French. English summary) Zbl 1496.11100 Bull. Soc. Math. Fr. 149, No. 3, 439-477 (2021). MSC: 11J89 11J81 12H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe Fast coefficient computation for algebraic power series in positive characteristic. (English) Zbl 1531.11118 Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 119-135 (2019). MSC: 11Y16 12-08 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayoub, Joseph The relative version of the Kontsevich-Zagier conjecture on periods: revisited. (La version relative de la conjecture des périodes de Kontsevich-Zagier revisitée.) (French. English summary) Zbl 1435.14008 Tohoku Math. J. (2) 71, No. 3, 465-485 (2019). MSC: 14C15 11J91 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kedlaya, Kiran S. On the algebraicity of generalized power series. (English) Zbl 1435.13026 Beitr. Algebra Geom. 58, No. 3, 499-527 (2017). Reviewer: Edward Mosteig (Los Angeles) MSC: 13J05 11B85 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauser, Herwig The classical Artin approximation theorems. (English) Zbl 1377.13001 Bull. Am. Math. Soc., New Ser. 54, No. 4, 595-633 (2017); corrigendum ibid. 55, No. 2, 289-293 (2018). Reviewer: Guillaume Rond (Marseille) MSC: 13-03 13-02 14-02 32-02 × Cite Format Result Cite Review PDF Full Text: DOI
Bostan, Alin; Dumont, Louis; Salvy, Bruno Algebraic diagonals and walks: algorithms, bounds, complexity. (English) Zbl 1371.33037 J. Symb. Comput. 83, 68-92 (2017). MSC: 33F10 05A15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berthelot, Pierre; Esnault, Hélène; Rülling, Kay Rational points over finite fields for regular models of algebraic varieties of Hodge type \(\geq 1\). (English) Zbl 1254.14019 Ann. Math. (2) 176, No. 1, 413-508 (2012). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamczewski, Boris; Bell, Jason P. On vanishing coefficients of algebraic power series over fields of positive characteristic. (English) Zbl 1257.11027 Invent. Math. 187, No. 2, 343-393 (2012). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11B85 11G99 11D61 14G17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Allouche, J.-P.; Mendès France, M. Hadamard grade of power series. (English) Zbl 1267.11025 J. Number Theory 131, No. 11, 2013-2022 (2011). MSC: 11B85 13F25 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kedlaya, Kiran S. Finite automata and algebraic extensions of functions fields. (English) Zbl 1161.11317 J. Théor. Nombres Bordx. 18, No. 2, 379-420 (2006). MSC: 11B85 11D88 13F25 16W60 68Q45 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Berthelot, Pierre \({\mathcal D}\)-modules arithmétiques. II: Descente par Frobenius. (Arithmetic \({\mathcal D}\)-modules. II: Frobenius descent). (French) Zbl 0948.14017 Mém. Soc. Math. Fr., Nouv. Sér. 81, 138 p. (2000). Reviewer: Gerd Faltings (Bonn) MSC: 14F30 14F10 14F40 16S32 32C38 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Safonov, K. V. On power series of algebraic and rational functions in \(\mathbb{C}^n\). (English) Zbl 0978.32001 J. Math. Anal. Appl. 243, No. 2, 261-277 (2000). Reviewer: Na Jisheng (Beijing) MSC: 32A05 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, G. W. An elementary approach to \(L\)-functions \(\text{mod }p\). (English) Zbl 0977.11036 J. Number Theory 80, No. 2, 291-303 (2000). Reviewer: Igor Potemine (Toulouse) MSC: 11M38 11G09 11T55 × Cite Format Result Cite Review PDF Full Text: DOI
Fagnot, Isabelle Łukasiewicz language and diagonals of formal series. (Langage de Łukasiewicz et diagonales de séries formelles.) (French) Zbl 0864.68058 J. Théor. Nombres Bordx. 8, No. 1, 31-45 (1996). Reviewer: V.Berthé (Marseille) MSC: 68Q45 13F25 11B85 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Allouche, Jean-Paul Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) (French) Zbl 0714.12006 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 163-187 (1989). Reviewer: G.Christol MSC: 12E99 11B85 11J81 11J85 13F25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Harase, Takashi Algebraic elements in formal power series rings. II. (English) Zbl 0703.13016 Isr. J. Math. 67, No. 1, 62-66 (1989). Reviewer: J.H.de Boer MSC: 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Harase, Takashi Algebraic elements in formal power series rings. (English) Zbl 0675.13015 Isr. J. Math. 63, No. 3, 281-288 (1988). Reviewer: J.H.de Boer MSC: 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Lipshitz, L. The diagonal of a D-finite power series is D-finite. (English) Zbl 0657.13024 J. Algebra 113, No. 2, 373-378 (1988). Reviewer: E. V. Pankrat’ev (Moskva) MSC: 13F25 13J05 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Safonov, K. V. Conditions for the sum of power series to be algebraic and rational. (English) Zbl 0633.32011 Math. Notes 41, 185-189 (1987). MSC: 32B05 32A05 × Cite Format Result Cite Review PDF Full Text: DOI
Denef, J.; Lipshitz, L. Algebraic power series and diagonals. (English) Zbl 0609.12020 J. Number Theory 26, 46-67 (1987). Reviewer: Gilles Christol (Paris) MSC: 11S85 13J05 11R04 68Q45 13J15 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Ekedahl, Torsten On the multiplicative properties of the de Rham-Witt complex. I. (English) Zbl 0575.14016 Ark. Mat. 22, 185-239 (1984). MSC: 14F40 14F30 × Cite Format Result Cite Review PDF Full Text: DOI