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Found 2,736 Documents (Results 1–100)

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On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9. (English. Russian original) Zbl 07606791

Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022).
MSC:  11Rxx 11Jxx 14Hxx
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On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields. (English. Russian original) Zbl 07594424

Dokl. Math. 106, No. 1, 259-264 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 56-62 (2022).
MSC:  11Rxx 11Jxx 11Gxx
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On the strong form of the Borel-Cantelli lemma. (English. Russian original) Zbl 07584675

Vestn. St. Petersbg. Univ., Math. 55, No. 1, 64-70 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 85-93 (2022).
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Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. (English) Zbl 1496.11001

Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922994-4/pbk; 978-1-00-922993-7/ebook). xiv, 169 p. (2022).
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On the transcendence of critical Hecke \(L\)-values. (English) Zbl 07615280

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, 509-521 (2021).
MSC:  11Jxx
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Irrationality and transcendence of alternating series via continued fractions. (English) Zbl 07615279

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, 489-508 (2021).
MSC:  11Jxx
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Siegel’s problem for \(E\)-functions of order 2. (English) Zbl 07615278

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, 473-488 (2021).
MSC:  11Jxx
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A conditional proof of the Leopoldt conjecture for CM fields. (English) Zbl 07615277

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, 465-472 (2021).
MSC:  11Jxx 11R23 11R27
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\(X\)-coordinates of Pell equations in various sequences. (English) Zbl 07615276

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, 451-463 (2021).
MSC:  11Jxx
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A case study for \(\zeta (4)\). (English) Zbl 07615274

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, 421-435 (2021).
MSC:  11Jxx
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An algorithm to prove holonomic differential equations for modular forms. (English) Zbl 07615273

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, 367-420 (2021).
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Néron desingularization of extensions of valuation rings (with an appendix by Kęstutis Česnavičius). (English) Zbl 07615269

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, 275-307 (2021).
MSC:  11Jxx
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Combinatorial quantum field theory and the Jacobian conjecture. (English) Zbl 07615267

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, 249-259 (2021).
MSC:  11Jxx
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A theta identity of Gauss connecting functions from additive and multiplicative number theory. (English) Zbl 07615266

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, 237-248 (2021).
MSC:  11Jxx 11P81 05A19
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Infinite product formulae for generating functions for sequences of squares. (English) Zbl 07615265

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, 193-236 (2021).
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Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models. (English) Zbl 07615264

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, 163-192 (2021).
MSC:  11Jxx
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