WebInequalities for higher order differences of the logarithm of the overpartition function and a problem ... we adapt the techniques of Li (J Number Theory 191:85–103, 2024) and Donepudi and Li ... WebSpeaker: Dalen Dockery (UTK) Title: MacMahon's Partition Analysis Abstract: In the mid-20th century, MacMahon introduced the theory of partition analysis, occasionally referred to as omega calculus, with a goal of developing a systematic way to treat various families of partition functions. His progress was considerable, but in recent years the theory of …
[1708.02569v1] Overpartition $M2$-rank differences, class number …
WebDec 1, 2015 · 190 Z. Ahmed et al. / Journal of Numb er Theory 157 (2015) 184–198 Employing the square of (2.11) as well as (2.9) in the ab ove, and then extracting the terms involving q 5 n +2 from bo th ... WebAn l -regular overpartition of n is an overpartition of n into parts not divisible by l. Let A ¯ l ( n) be the number of l -regular overpartitions of n. Andrews defined singular overpartitions … grand manan photos
New congruences modulo 5 for the number of 2-color partitions
WebAn overpartition of n is a partition of n in which the first occurrence of a number may be overlined. ... {International Journal of Number Theory}, year={2024}, volume={16}, … WebAug 1, 2024 · In a previous paper, we studied an overpartition analogue of Gaussian polynomials as the generating function for overpartitions fitting inside an mn rectangle. ... Int. J. Number Theory, 6 (2010) 785-798. Google Scholar Cross Ref; br0170 B. Sagan, Unimodality and the reflection principle, Ars Combin., 48 (1998) 65-72. WebMar 22, 2024 · The Number Theory Seminar meets on Tuesdays at LIT 368, 1:55pm – 2:45pm, unless otherwise indicated. Date Speaker Affiliation Title; 2024-04-12: ... Higher Order Overpartition Spt Functions: 2014-04-01: Keith Grizzell: University of Florida: Generalization and refinement of the Berkovich-Garvan partition inequalities: grand manan weather network