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Dr. Jesús Guillera Goyanes |
Zaragoza (Spain) |
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Last update: |
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July 27, 2010 |
Extraordinary Prize of Doctorate 2006-07 |
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Ramanujan identities. Hypergeometric series. Experimental Mathematics. Special functions. |
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You can see my address and e-mail in my recent papers |
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Here is the fastest of my proved formulas for p (3 digits per term) written in a popular form. I proved it in 2002 by the WZ-method. |
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| And here is the fastest of all my formulas for p (5 digits per term). It has not been proved yet. I found it in 2003 using the PSLQ algorithm. |
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PhD Thesis - Papers ( ArXiv ) - Problems - Talks |
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Series de Ramanujan: Generalizaciones y Conjeturas, 75 páginas PDF - Advisors: Eva A. Gallardo and W. Zudilin |
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Ramanujan Series: Generalizations and Conjectures (Thesis presentation), Univ. de Zaragoza (2-Julio-2007) PDF |
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Some binomial series obtained by the WZ-method, Adv. in Appl. Math. 29 - 4 (2002) pp. 599-603. PDF (Accepted by Doron Zeilberger) |
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About a new kind of Ramanujan type series, Exp. Math. 12 - 4 (2003) pp. 507-510. PDF |
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Generators of some Ramanujan formulas, The Ramanujan Journal, 11 - 1 (2006) pp. 41 - 48. PDF |
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A
new method to obtain series for 1
/ p and
1 / p2
Exp.
Math. 15
- 1 (2006)
pp. 83 - 89. PDF |
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A class of conjectured series representations for 1 / p Exp. Math. 15 - 4 (2006) pp. 409 - 414. PDF |
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Historia de las fórmulas y algoritmos para p La Gaceta de la RSME, 10 - 1 (2007) pp. 159 - 178. PDF |
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Construction of binomial sums for p and polilogarithmic constants inspired by BBP formulas, Applied Mathematics E-Notes 7 - 34 (2007) |
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pp. 237 - 246. Coauthor: Boris Gourevitch. PDF |
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Hypergeometric identities for 10 extended Ramanujan-type series, The Ramanujan Journal, 15 - 2 (2008) pp. 219 - 234. PDF |
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Double integrals and infinite products for some classical constants, The Ramanujan Journal, 16 - 3 (2008) pp. 247 - 270. Coauthor: |
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Easy proofs of some Borwein's algorithms for p, The Amer. Math. Monthly, 115 - 9 (2008) pp. 850-854. PDF |
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History of the formulas and algorithms for p, Contemporary Mathematics, 517 (2010) pp 173-188. PDF |
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On WZ-pairs which prove Ramanujan series, The Ramanujan Journal, 22 - 3 (2008) pp. 249-259. PDF |
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A matrix form of Ramanujan-type series for 1 / p, Contemporary Mathematics, 517 (2010) pp 189-206. PDF |
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A new Ramanujan-like series for 1 / p2 PDF |
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"Divergent" Ramanujan-type supercongruences Coauthor: Wadim Zudilin. PDF |
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Mahler measure and the WZ-algorithm Coauthor: Mathew Rogers. PDF |
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Mosaic supercongruences of Ramanujan-type PDF |
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Problem 11381 in The Amer. Math. Monthly, 115 - 7 (2008) p. 665. See it in the page of Jonathan Sondow (coauthor). |
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A new formula for p related to a series of Ramanujan. Accepted in Siam Problems PDF |
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El método WZ y las series de tipo Ramanujan para p, Seminario Rubio de Francia Univ. de Zaragoza (2004) PDF |
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WZ-method proofs of some Ramanujan-type series for 1 / p and new series for 1 / p 2
Journées Arithmet. XXIV
Marseille (2005)
PDF |
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Series de Ramanujan: Generalizaciones y Conjeturas, Seminario teoría de números Univ. Autónoma de Madrid (2007) PDF |
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My personal journal (Formulas, experiments, conjectures, tables, ideas, etc) |
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My pi formulas PDF Series closely related to Ramanujan formulas for p PDF |
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Tables of Ramanujan series with rational values of z PDF Chains of series for 1 / p associated to WZ-pairs PDF |
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Expansions related to Ramanujan series and alike PDF Collection of Ramanujan-like series for 1 / p 2 PDF |
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Favorite home pages - Other mathematical links - Other links |
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A-B |
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K-O |
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Para descansar podemos entretenernos con alguno de los estupendos videos de divulgación científica que podemos ver en Redes. |
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Otra posibilidad aún más relajante puede ser ver las bonitas fotos de los viajes de mi sobrina en La web de Guru y Jota. |
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