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GHOSTS AND CONGRUENCES FOR $\boldsymbol {p}^{\boldsymbol {s}}$ -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS.
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- Journal of the Australian Mathematical Society, 2024, v. 116, n. 1, p. 96, doi. 10.1017/S1446788723000083
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Sums of Powers of Binomials, Their Apéry Limits, and Franel's Suspicions.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 11, p. 9861, doi. 10.1093/imrn/rnac125
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- Article
MAGNETIC (QUASI-)MODULAR FORMS.
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- Nagoya Mathematical Journal, 2022, v. 248, p. 849, doi. 10.1017/nmj.2022.11
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- Article
APÉRY LIMITS FOR ELLIPTIC $\boldsymbol {L}$ -VALUES.
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- Bulletin of the Australian Mathematical Society, 2022, v. 106, n. 2, p. 273, doi. 10.1017/S0004972721001295
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- Article
HEDGEHOGS IN LEHMER'S PROBLEM.
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- Bulletin of the Australian Mathematical Society, 2022, v. 105, n. 2, p. 236, doi. 10.1017/S0004972721000654
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- Article
Automatic discovery of irrationality proofs and irrationality measures.
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- International Journal of Number Theory, 2021, v. 17, n. 3, p. 815, doi. 10.1142/S1793042120400230
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- Article
Two Definite Integrals That Are Definitely (and Surprisingly!) Equal.
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- Mathematical Intelligencer, 2020, v. 42, n. 3, p. 10, doi. 10.1007/s00283-020-09972-2
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- Article
Hypergeometric rational approximations to ζ(4).
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- Proceedings of the Edinburgh Mathematical Society, 2020, v. 63, n. 2, p. 374, doi. 10.1017/S0013091519000427
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- Article
A Common q-Analogue of Two Supercongruences.
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- Results in Mathematics / Resultate der Mathematik, 2020, v. 75, n. 2, p. 1, doi. 10.1007/s00025-020-1168-7
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- Article
HYPERGEOMETRIC MODULAR EQUATIONS.
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- Journal of the Australian Mathematical Society, 2019, v. 107, n. 3, p. 338, doi. 10.1017/S144678871800037X
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- Article
Congruences for q-Binomial Coefficients.
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- Annals of Combinatorics, 2019, v. 23, n. 3/4, p. 1123, doi. 10.1007/s00026-019-00461-8
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- Article
A MAGNETIC DOUBLE INTEGRAL.
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- Journal of the Australian Mathematical Society, 2019, v. 107, n. 1, p. 9, doi. 10.1017/S1446788718000186
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- Article
SOME HYPERGEOMETRIC INTEGRALS FOR LINEAR FORMS IN ZETA VALUES.
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- Bulletin of the Australian Mathematical Society, 2018, v. 98, n. 3, p. 372, doi. 10.1017/S0004972718000503
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- Article
A study of elliptic gamma function and allies.
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- Research in the Mathematical Sciences, 2018, v. 5, n. 4, p. 1, doi. 10.1007/s40687-018-0158-9
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- Article
A VARIATION ON THE THEME OF NICOMACHUS.
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- Bulletin of the Australian Mathematical Society, 2018, v. 97, n. 3, p. 367, doi. 10.1017/S0004972717001411
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- Article
Linear independence of dilogarithmic values.
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- Journal für die Reine und Angewandte Mathematik, 2018, v. 2018, n. 736, p. 193, doi. 10.1515/crelle-2015-0030
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- Article
A Determinantal Approach to Irrationality.
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- Constructive Approximation, 2017, v. 45, n. 2, p. 301, doi. 10.1007/s00365-016-9333-7
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On the Mahler measure of a family of genus 2 curves.
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- Mathematische Zeitschrift, 2016, v. 283, n. 3/4, p. 1185, doi. 10.1007/s00209-016-1637-6
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- Article
On the irrationality of generalized q-logarithm.
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- Research in Number Theory, 2016, v. 2, n. 1, p. 1, doi. 10.1007/s40993-016-0042-x
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Further explorations of Boyd's conjectures and a conductor 21 elliptic curve.
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- Journal of the London Mathematical Society, 2016, v. 93, n. 2, p. 341, doi. 10.1112/jlms/jdv073
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- Article
Algebraic Independence of Mahler Functions via Radial Asymptotics.
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- IMRN: International Mathematics Research Notices, 2016, v. 2016, n. 2, p. 571, doi. 10.1093/imrn/rnv139
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On the Mahler Measure of 1+X+1/X+Y +1/Y.
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- IMRN: International Mathematics Research Notices, 2014, v. 2014, n. 9, p. 2305, doi. 10.1093/imrn/rns285
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- Article
Regulator of modular units and Mahler measures.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2014, v. 156, n. 2, p. 313, doi. 10.1017/S0305004113000765
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- Article
A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS.
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- Bulletin of the Australian Mathematical Society, 2014, v. 89, n. 1, p. 125, doi. 10.1017/S0004972713000233
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- Article
From L-series of elliptic curves to Mahler measures.
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- Compositio Mathematica, 2012, v. 148, n. 2, p. 385, doi. 10.1112/S0010437X11007342
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Dedekind's η-function and Rogers–Ramanujan identities.
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- Bulletin of the London Mathematical Society, 2012, v. 44, n. 1, p. 1, doi. 10.1112/blms/bdr019
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Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations.
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- Proceedings of the Edinburgh Mathematical Society, 2011, v. 54, n. 2, p. 273, doi. 10.1017/S0013091509000959
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A refinement of Nesterenko’s linear independence criterion with applications to zeta values.
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- Mathematische Annalen, 2010, v. 347, n. 4, p. 739, doi. 10.1007/s00208-009-0457-y
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- Article
NEW REPRESENTATIONS FOR APÉRY-LIKE SEQUENCES.
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- Mathematika, 2010, v. 56, n. 1, p. 107, doi. 10.1112/S0025579309000436
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Irrationality of certain numbers that contain values of the di- and trilogarithm.
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- Mathematische Zeitschrift, 2006, v. 254, n. 2, p. 299, doi. 10.1007/s00209-006-0948-4
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Remarks on irrationality of q-harmonic series.
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- Manuscripta Mathematica, 2002, v. 107, n. 4, p. 463, doi. 10.1007/s002290200249
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- Article