TY - JOUR
T1 - New theorems on the parity of partition functions
AU - Berndt, Bruce C.
AU - Yee, Ae Ja
AU - Zaharescu, Alexandru
N1 - Publisher Copyright:
© Walter de Gruyter.
PY - 2020/2/5
Y1 - 2020/2/5
N2 - Working in the ring A of formal power series in one variable over the field of two elements, we have recently established lower bounds for both the number of even values and the number of odd values for a wide variety of partition functions. Here, we introduce two further ideas, diÂerential equations in A and finite perturbations, to prove theorems on the parity of a considerably larger class of partition functions.
AB - Working in the ring A of formal power series in one variable over the field of two elements, we have recently established lower bounds for both the number of even values and the number of odd values for a wide variety of partition functions. Here, we introduce two further ideas, diÂerential equations in A and finite perturbations, to prove theorems on the parity of a considerably larger class of partition functions.
UR - http://www.scopus.com/inward/record.url?scp=85085978796&partnerID=8YFLogxK
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U2 - 10.1515/crll.2004.008
DO - 10.1515/crll.2004.008
M3 - Article
AN - SCOPUS:85085978796
SN - 0075-4102
VL - 2004
SP - 91
EP - 109
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 566
ER -