Distribution of the partition function modulo composite integers M
By Scott Ahlgren. 2000
107 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/04f0957ed6dd264ddae57849a79a7070553e74d5
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
- Kathrin Bringmann
- Jeremy Lovejoy
- Ken Ichi Ono
- Stephanie Treneer
- David Penniston
- Cristian-Silviu Radu
- Robert Osburn
- Frank G. Garvan
In Discrete Mathematics and Combinatorics
- Kathrin Bringmann
- Jeremy Lovejoy
- Ken Ichi Ono
- Stephanie Treneer
- David Penniston
- Cristian-Silviu Radu
- George E. Andrews
- Frank G. Garvan
Citations in the corpus
- Unearthing the visions of a master: harmonic Maass forms and number theory (2008, unknown): “The author proved [162] that Atkin's phenomenon generalizes to all prime moduli exceeding 3, and in later work Ahlgren and the author further extended [2] [3] these results to include all moduli coprime to 6.”
- Dyson’s ranks and Maass forms (2010, background): “Subsequent generalizations of this argument appear in [1], [2], [23], [30].”
- Congruences for the coefficients of weakly holomorphic modular forms (2006, methodology): “Recently, Ahlgren and Ono (in [1, 2, 12]) showed that if M is any positive integer coprime to 6, then there exist infinitely many congruences of the form p(An + B) ≡ 0 (mod M).”
- A proof of Subbarao's conjecture (2011, background): “Scott Ahlgen [2] extended this result for arbitrary integers M coprime to 6.”
- RANK AND CONGRUENCES FOR OVERPARTITION PAIRS (2008, background): “In Section 4, we use the theory of modular forms in the spirit of Ahlgren-Ono [2], Mahlburg [29], and Serre [35, 36] to deduce Theorems 1.6 and 1.7.”
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS (2008, background): “Ahlgren [1] has extended this result to include every modulus m coprime to 6, and Ahlgren and Ono gave a unified approach to the problem of such congruences in [3].”