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Showing 2012 · math.NTShow all
3 papers · 2 filters
math.NT2012
The normality of digits in almost constant additive functions
Joseph Vandehey
We consider numbers formed by concatenating some of the base b digits from additive functions f(n) that closely resemble the prime counting function Ω(n). If we concatenate the las…
math.NT2012★ 1 cited
Generalized higher order spt-functions
Atul Dixit, Ae Ja Yee
We give a new generalization of the spt-function of G.E. Andrews, namely , and give its combinatorial interpretation in terms of successive lower-Durfee squares.…
math.NT2012
Rank-Crank type PDEs and generalized Lambert series identities
Song Heng Chan, Atul Dixit, Frank G. Garvan
We show how Rank-Crank type PDEs for higher order Appell functions due to Zwegers may be obtained from a generalized Lambert series identity due to the first author. Special cases…