The asymptotic distribution of Andrews’ smallest parts function
Barquero Sánchez, Adrián Alberto
MetadataShow full item record
In this paper, we use methods from the spectral theory of automorphic forms to give an asymptotic formula with a power saving error term for Andrews’ smallest parts function spt(n). We use this formula to deduce an asymptotic formula with a power saving error term for the number of 2-marked Durfee symbols associated to partitions of n. Our method requires that we count the number of Heegner points of discriminant −D < 0 and level N inside an “expanding” rectangle contained in a fundamental domain for Γ0(N).
External link to the item10.1007/s00013-015-0831-9
- Matemática 
The following license files are associated with this item: