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Found 145 Documents (Results 1–100)

Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind. arXiv:2204.05612

Preprint, arXiv:2204.05612 [math.CA] (2022).
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A brief review of \(q\)-series. (English) Zbl 1483.05013

Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 76-130 (2021).
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Closed-form formulas and properties of coefficients in Maclaurin’s series expansion of Wilf’s function composited by inverse tangent, square root, and exponential functions. arXiv:2110.08576

Preprint, arXiv:2110.08576 [math.CO] (2021).
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Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications. arXiv:2101.10686

Preprint, arXiv:2101.10686 [math.CO] (2021).
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Motives and \(L\)-functions. (English) Zbl 1469.11349

Jerison, David (ed.) et al., Current developments in mathematics 2018. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, 2018. Somerville, MA: International Press. 57-123 (2020).
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The partition method for a power series expansion. Theory and applications. (English) Zbl 1371.41001

Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-804466-7/hbk; 978-0-12-804511-4/ebook). ix, 302 p. (2017).
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On the freeness of the integral cohomology groups of Hilbert-Blumenthal varieties as Hecke modules. (English) Zbl 1221.11112

Srinivas, V. (ed.), Cycles, motives and Shimura varieties. Proceedings of the international colloquium, Mumbai, India, January 3–12, 2008. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-8487-085-5/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 21, 59-99 (2010).
Reviewer: B. Z. Moroz (Bonn)
MSC:  11F33 14G35 11F46 11F67 13H10 14F05 14G40
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Which partial sums of the Taylor series for \(e\) are convergents to \(e\)? (and a link to the primes 2, 5, 13, 37, 463). II. (English) Zbl 1227.11031

Amdeberhan, Tewodros (ed.) et al., Gems in experimental mathematics. AMS special session on experimental mathematics, Washington, DC, January 5, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4869-2/pbk). Contemporary Mathematics 517, 349-363 (2010).
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Which partial sums of the Taylor series for \(e\) are convergents to \(e\)? (and a link to the primes 2, 5, 13, 37, 463). (English) Zbl 1159.11004

Amdeberhan, Tewodros (ed.) et al., Tapas in experimental mathematics. AMS special session on experimental mathematics, New Orleans, LA, USA, January 5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4317-8/pbk). Contemporary Mathematics 457, 273-284 (2008).
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An asymptotic formula for the Taylor coefficients of the function \(\xi(s)\). (English. Russian original) Zbl 1019.11023

Izv. Math. 65, No. 1, 85-98 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 1, 93-106 (2001).
MSC:  11M06
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