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Found 149 Documents (Results 1–100)

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Schneider, Carsten; Zudilin, Wadim

A case study for \(\zeta (4)\). (English) Zbl 1499.11271

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:  11M06 68W30
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\textit{C. Schneider} and \textit{W. Zudilin}, Springer Proc. Math. Stat. 373, 421--435 (2021; Zbl 1499.11271)
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Zudilin, Wadim

On a family of polynomials related to \(\zeta (2,1)=\zeta (3)\). (English) Zbl 1455.11124

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 621-630 (2020).
MSC:  11M32 33C47
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\textit{W. Zudilin}, Springer Proc. Math. Stat. 314, 621--630 (2020; Zbl 1455.11124)
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Straub, Armin; Zudilin, Wadim

Short walk adventures. (English) Zbl 1448.33018

Bailey, David H. (ed.) et al., From analysis to visualization. A celebration of the life and legacy of Jonathan M. Borwein, Callaghan, Australia, September 25–29, 2017. Cham: Springer. Springer Proc. Math. Stat. 313, 423-439 (2020); correction ibid. 313, C1 (2020).
Reviewer: István Mező (Nanjing)
MSC:  33E05 33C20
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\textit{A. Straub} and \textit{W. Zudilin}, Springer Proc. Math. Stat. 313, 423--439 (2020; Zbl 1448.33018)
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Brunault, François; Zudilin, Wadim

Many variations of Mahler measures. A lasting symphony. (English) Zbl 1476.11002

Australian Mathematical Society Lecture Series 28. Cambridge: Cambridge University Press (ISBN 978-1-108-79445-9/pbk; 978-1-108-88555-3/ebook). xv, 167 p. (2020).
Reviewer: Riccardo Pengo (Lyon)
MSC:  11-01 11R09 11F67 11G50
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\textit{F. Brunault} and \textit{W. Zudilin}, Many variations of Mahler measures. A lasting symphony. Cambridge: Cambridge University Press (2020; Zbl 1476.11002)
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Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim

Crouching AGM, hidden modularity. (English) Zbl 1437.11058

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 169-187 (2018).
MSC:  11F11 33C20 33F05 65Q30
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\textit{S. Cooper} et al., Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 169--187 (2018; Zbl 1437.11058)
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Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim

Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) (English. Abridged French version) Zbl 1398.11109

C. R., Math., Acad. Sci. Paris 356, No. 7, 707-711 (2018).
Reviewer: Giovanni Coppola (Avellino)
MSC:  11M06
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\textit{S. Fischler} et al., C. R., Math., Acad. Sci. Paris 356, No. 7, 707--711 (2018; Zbl 1398.11109)
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Cooper, Shaun; Wan, James G.; Zudilin, Wadim

Holonomic alchemy and series for \(1/\pi \). (English) Zbl 1391.11165

Andrews, George E. (ed.) et al., Analytic number theory, modular forms and \(q\)-hypergeometric series. In honor of Krishna Alladi’s 60th birthday, University of Florida, Gainesville, FL, USA, March 17–21, 2016. Cham: Springer (ISBN 978-3-319-68375-1/hbk; 978-3-319-68376-8/ebook). Springer Proceedings in Mathematics & Statistics 221, 179-205 (2017).
MSC:  11Y60 11F11 11B65
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\textit{S. Cooper} et al., Springer Proc. Math. Stat. 221, 179--205 (2017; Zbl 1391.11165)
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Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim

Neverending fractions. An introduction to continued fractions. (English) Zbl 1307.11001

Australian Mathematical Society Lecture Series 23. Cambridge: Cambridge University Press (ISBN 978-0-521-18649-0/pbk; 978-1-107-00665-2/hbk; 978-0-511-90265-9/ebook). x, 212 p. (2014).
Reviewer: Werner Kleinert (Berlin)
MSC:  11-01 11A55 11J70 11K50 11Y65
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\textit{J. Borwein} et al., Neverending fractions. An introduction to continued fractions. Cambridge: Cambridge University Press (2014; Zbl 1307.11001)
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Guillera, Jesús; Zudilin, Wadim

Ramanujan-type formulae for \(1/\pi\): the art of translation. (English) Zbl 1371.11162

Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 181-195 (2013).
MSC:  11Y60 33C20 11F11 65B10
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\textit{J. Guillera} and \textit{W. Zudilin}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 181--195 (2013; Zbl 1371.11162)
Full Text: arXiv
Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, Wadim

Logarithmic and complex constant term identities. (English) Zbl 1290.05152

Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 219-250 (2013).
Reviewer: Matthew Davis (New Concord)
MSC:  05E05 05A05 05A10 05A19 33C20
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\textit{T. Chappell} et al., Springer Proc. Math. Stat. 50, 219--250 (2013; Zbl 1290.05152)
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Zudilin, Wadim

Lost in translation. (English) Zbl 1285.33008

Kotsireas, Ilias S. (ed.) et al., Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26–29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer (ISBN 978-3-642-30978-6/hbk; 978-3-642-30979-3/ebook). 287-293 (2013).
MSC:  33C20 11Y60
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\textit{W. Zudilin}, in: Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26--29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer. 287--293 (2013; Zbl 1285.33008)
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Zudilin, Wadim

Period(d)ness of \(L\)-values. (English) Zbl 1316.11038

Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 381-395 (2013).
Reviewer: Artūras Dubickas (Vilnius)
MSC:  11F67 11G55
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\textit{W. Zudilin}, Springer Proc. Math. Stat. 43, 381--395 (2013; Zbl 1316.11038)
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Borwein, Jonathan M. (ed.); Shparlinski, Igor (ed.); Zudilin, Wadim (ed.)

Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. (English) Zbl 1266.11001

Springer Proceedings in Mathematics & Statistics 43. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). x, 395 p. (2013).
MSC:  11-06 00B25 00B30 01A70 11-03 01A60 11A55 11B75 11E20 11M06
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\textit{J. M. Borwein} (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12--16, 2012. New York, NY: Springer (2013; Zbl 1266.11001)
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Yang, Yifan; Zudilin, Wadim

On \(\mathrm{Sp}_4\) modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. (English) Zbl 1283.11073

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, 381-413 (2010).
MSC:  11F23 11F46 14J32 34M15 34M35
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\textit{Y. Yang} and \textit{W. Zudilin}, Contemp. Math. 517, 381--413 (2010; Zbl 1283.11073)
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Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim

Experimental mathematics and mathematical physics. (English) Zbl 1221.82006

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, 41-58 (2010).
MSC:  82-08 65D30 82-04 65Y04
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\textit{D. H. Bailey} et al., Contemp. Math. 517, 41--58 (2010; Zbl 1221.82006)
Full Text: arXiv
Zudilin, Wadim

Ramanujan-type formulae for \(1/\pi\): a second wind? (English) Zbl 1159.11053

Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 179-188 (2008).
Reviewer: Jeremy Lovejoy (Paris)
MSC:  11Y60 11F11 33C20 33F10
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\textit{W. Zudilin}, Fields Inst. Commun. 54, 179--188 (2008; Zbl 1159.11053)
Full Text: arXiv
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim

Apéry limits of differential equations of order 4 and 5. (English) Zbl 1159.14019

Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 105-123 (2008).
Reviewer: Noriko Yui (Kingston)
MSC:  14J32 11Y60 14D05
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\textit{G. Almkvist} et al., Fields Inst. Commun. 54, 105--123 (2008; Zbl 1159.14019)
Bundschuh, Peter; Zudilin, Wadim

Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. (English) Zbl 1213.11146

Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 123-139 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
MSC:  11J72 11J82 33D15
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\textit{P. Bundschuh} and \textit{W. Zudilin}, Dev. Math. 16, 123--139 (2008; Zbl 1213.11146)
Väänänen, K.; Zudilin, V. V.
[Zudilin, Wadim]

Linear independence of values of Tschakaloff series. (English. Russian original) Zbl 1173.11043

Russ. Math. Surv. 62, No. 1, 196-198 (2007); translation from Usp. Mat. Nauk 62, No. 1, 197-198 (2007).
Reviewer: Peter Bundschuh (Köln)
MSC:  11J72 11J82
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\textit{K. Väänänen} and \textit{V. V. Zudilin}, Russ. Math. Surv. 62, No. 1, 196--198 (2007; Zbl 1173.11043); translation from Usp. Mat. Nauk 62, No. 1, 197--198 (2007)
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