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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. (English) Zbl 1300.11002

Ramanujan Mathematical Society Lecture Notes Series 20. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). xii, 420 p. (2013).

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The articles of this volume will be reviewed individually.
Indexed articles:
Adhikari, Sukumar Das, An extremal problem in combinatorial number theory, 1-11 [Zbl 1378.11024]
Agarwal, A. K., Combinatorial properties of \(n\)-colour compositions, 13-28 [Zbl 1308.05005]
Alladi, Krishnaswami, Partial theta identities of Ramanujan, Andrews, and Rogers-fine involving the squares, 29-53 [Zbl 1316.05005]
Anandavardhanan, U. K.; Borisagar, Gautam H., On the \(K(n)\)-invariants of a supersingular representation of \(\mathrm{GL}_2(\mathbb{Q}_p)\), 55-75 [Zbl 1322.22019]
Andrews, George E., The discovery of Ramanujan’s lost notebook, 77-88 [Zbl 1308.01007]
Balasubramanian, R.; Gun, S., Ramanujan and quasi-modular forms, 89-98 [Zbl 1371.11085]
Baruah, Nayandeep Deka; Nath, Kallol, Two quotients of theta functions and arithmetic identities for 3-cores, 99-110 [Zbl 1361.11060]
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru, The circle and divisor problems, and Ramanujan’s contributions through Bessel function series, 111-127 [Zbl 1360.11093]
Bringmann, Kathrin; Lovejoy, Jeremy; Mahlburg, Karl, On \(q\)-difference equations for partitions without \(k\)-sequences, 129-137 [Zbl 1360.11099]
Bruinier, Jan Hendrik; Folsom, Amanda; Kent, Zachary A.; Ono, Ken, Recent work on the partition function, 139-151 [Zbl 1360.11095]
Das, Soumya; Kohnen, Winfried, Some remarks on the Resnikoff-Saldaña conjecture, 153-161 [Zbl 1370.11055]
Dixit, Atul, Ramanujan’s ingenious method for generating modular-type transformation formulas, 163-179 [Zbl 1357.11071]
Guillera, Jesús; Zudilin, Wadim, Ramanujan-type formulae for \(1/\pi\): the art of translation, 181-195 [Zbl 1371.11162]
Li, Wen-Ching Winnie, On Ramanujan graphs and complexes, 197-211 [Zbl 1310.05139]
Liu, Zhi-Guo, On the \(q\)-partial differential equations and \(q\)-series, 213-250 [Zbl 1310.05024]
Munshi, Ritabrata, Shifted convolution of divisor function \(d_3\) and Ramanujan \(\tau\) function, 251-260 [Zbl 1370.11059]
Murty, M. Ram, The partition function revisited, 261-279 [Zbl 1360.11098]
Murty, V. Kumar, Ramanujan and prime numbers, 281-299 [Zbl 1358.11097]
Raghunathan, Ravi, Recent progress on the exterior square \(L\)-function of \(\operatorname{GL}_n\), 301-322 [Zbl 1353.11077]
Raghuram, A., Comparison results for certain periods of cusp forms on \(\operatorname{GL}_{2n}\) over a totally real number field, 323-334 [Zbl 1353.11078]
Ramana, D. S., Representation of integers as chromatic sums of primes, 335-346 [Zbl 1358.11104]
Spiridonov, V. P., Aspects of elliptic hypergeometric functions, 347-361 [Zbl 1307.33007]
Vaughan, R. C., Some problems of ‘Partitio numerorum’: hybrid expressions, 363-385 [Zbl 1369.11069]
Waldschmidt, Michel, From highly composite numbers to transcendental number theory, 387-397 [Zbl 1368.11067]
Yun, Zhiwei, Orbital integrals and Dedekind zeta functions, 399-420 [Zbl 1315.22011]

MSC:

11-06 Proceedings, conferences, collections, etc. pertaining to number theory
05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
33-06 Proceedings, conferences, collections, etc. pertaining to special functions
01A60 History of mathematics in the 20th century
01A70 Biographies, obituaries, personalia, bibliographies
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Ramanujan, Srinivasa
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