scholarly journals A new look on the truncated pentagonal number theorem

2016 ◽  
Vol 32 (1) ◽  
pp. 97-101
Author(s):  
MIRCEA MERCA ◽  

Two new infinite families of inequalities are given in this paper for the partition function p(n), using the truncated pentagonal number theorem.

1997 ◽  
Vol 08 (05) ◽  
pp. 1063-1071 ◽  
Author(s):  
Nelson A. Alves ◽  
J. R. Drugowich de Felicio ◽  
Ulrich H. E. Hansmann

A general numerical method is presented to locate the partition function zeros in the complex β plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up to L = 64. We also propose an alternative method to evaluate corrections to scaling which relies only on the leading zeros. This method is illustrated with our data.


2010 ◽  
Vol 44 (1) ◽  
pp. 2
Author(s):  
Catherine Cooper Nellist ◽  
Mary Jo Dales
Keyword(s):  

1973 ◽  
Vol 18 (7) ◽  
pp. 332-333
Author(s):  
KURT W. BACK
Keyword(s):  

2000 ◽  
Vol 45 (6) ◽  
pp. 628-630
Author(s):  
June P. Tangney ◽  
Ronda L. Hearing
Keyword(s):  

1960 ◽  
Vol 5 (1) ◽  
pp. 16-17
Author(s):  
IRA ISCOE
Keyword(s):  

1966 ◽  
Vol 11 (11) ◽  
pp. 528-529
Author(s):  
Aryeh Routtenberg
Keyword(s):  

1975 ◽  
Vol 20 (10) ◽  
pp. 789-790
Author(s):  
DAVID J. SCHNEIDER

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