Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary

By Bruce C. Berndt, Ken Ichi Ono. 2001

107 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/b0f38a3580e2b7cf13ecbebb39e2b7646c8dbeeb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. George E. Andrews
2. Ken Ichi Ono
3. Kathrin Bringmann
4. Jeremy Lovejoy
5. Eric T. Mortenson
6. Heng Huat Chan
7. V. Spiridonov
8. Karl Mahlburg

In Discrete Mathematics and Combinatorics

1. George E. Andrews
2. Ken Ichi Ono
3. Kathrin Bringmann
4. Jeremy Lovejoy
5. V. Spiridonov
6. Karl Mahlburg
7. Heng Huat Chan
8. Frank G. Garvan

Citations in the corpus

• Partitions: At the Interface of q-Series and Modular Forms (2003, background): “It should be noted that Ramanujan himself proved the congruence for general powers of 5 and likely had the corresponding proof for powers of 7 (see [ 12 ] for details).”
• Unearthing the visions of a master: harmonic Maass forms and number theory (2008, background): “Ramanujan conjectured (and in some cases proved) [38, 173, 174] that there are further congruence properties in which the moduli are powers of 5, 7, or 11.”