Congruences for the coefficients of weakly holomorphic modular forms
By Stephanie Treneer. 2006
115 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5110f7f4c32ec1958b8dfe14091f0ffeaa15a4e5
How researchers see this paper
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In Algebra and Number Theory
- Kathrin Bringmann
- Jeremy Lovejoy
- Ken Ichi Ono
- Heng Huat Chan
- David Penniston
- Soon-Yi Kang
- Robert Osburn
- Frank G. Garvan
In Mathematical Physics
- Ken Ichi Ono
- Kathrin Bringmann
- Jeremy Lovejoy
- David Penniston
- Heng Huat Chan
- Soon-Yi Kang
- Youn-Seo Choi
- Amanda Folsom
Citations in the corpus
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS (2008, background): “Indeed, Treneer [10] has shown that such a result holds for a quite general class of weakly holomorphic modular forms.”
- Dyson’s ranks and Maass forms (2010, methodology): “Subsequent generalizations of this argument appear in [1], [2], [23], [30].”
- DYSON'S RANK, OVERPARTITIONS, AND WEAK MAASS FORMS (2007, background): “[31] S. Treneer, Congruences for the coefficients of weakly holomorphic modular forms, Proc.”
- Distribution of a certain partition function modulo powers of primes (2011, background): “Treneer’s celebrated theorems in [14] are very general and powerful results.”
- Unearthing the visions of a master: harmonic Maass forms and number theory (2008, background): “1 of [201]), generalizing earlier observations of Ahlgren and the author [3, 162], implies that there is a sufficiently large integer m for which ∑”
- Mock Jacobi forms in basic hypergeometric series (2008, background): “From the work of Treneer [16], we know that N(6)(n) has infinitely many congruences in arithmetic progressions modulo any prime coprime to 6.”
- RANK AND CONGRUENCES FOR OVERPARTITION PAIRS (2008, background): “Now, by a result of Treneer [ 37, Theorem 3.1 ] (and the remarks at the end of [12]), we may conclude that there is a natural number m so that”