Andrews, A Hardy-Ramanujan Formula for Restricted Partitions, J. Number Theory, 38, 135-144 (1991).Gert Almkvist and George E. Andrews, A Hardy-Ramanujan formula for restricted partitions, J. Number Theory 38 (1991), no. 2, 135-144. MR 1111367...
We interpret the Hardy–Ramanujan–Rademacher formula for the integer partition function as a statement about su 2, and explore in some detail the generalization to other Lie algebras. We conjecture that the number Mod(g, d) of g-modules in dimension d is given by (α/d) exp(βd γ...
We re-prove the Hardy-Ramanujan asymptotic formula for the partition function without using the circle method. We derive our result from recent work of Bruinier and Ono on harmonic weak Maass forms.DOI: 10.1090/S0002-9939-2012-11458-3 年份...
[8] B. C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, Reine Angew. Math., 303-304 (1978), 332-365. [9] L. A. Goldberg, Transformations of theta-functions and analogues of Dedekind sums, Ph.D. thesis, University of Illinois,...
Results Some identities were gat involving generalized Dedekind sum,generalized Hardy sum and Ramanujan sum. 结果得到了广义Dedekind和,广义Hardy和与Ramanujan和混合均值的的5个关系恒等式。2) generalized hardy operator 广义Hardy算子 1. Let T_b be the commutator generated by generalized Hardy operator ...
A Hardy-Ramanujan formula for restricted partitions. Journal of Number Theory, 38(2):135-144, 1991.Gert Almkvist and George E. Andrews, A Hardy-Ramanujan Formula for Restricted Partitions, J. Number Theory, 38, 135-144 (1991).Gert Almkvist and George E Andrews. A Hardy-Ramanujan formula ...
We interpret the Hardy–Ramanujan–Rademacher formula for the integer partition function as a statement about su 2, and explore in some detail the generalization to other Lie algebras. We conjecture that the number Mod(g, d) of g-modules in dimension d is given by (α/d) exp(βd γ) ...
广义Dedekind和广义Hardy和Ramanujan和混合均值目的用Dirichlet L-函数的均值定理以及Dirichlet特征的性质来研究广义Dedekind和与Ramanujan和的混合均值分布问题,试图推广经典... 田清,张小蹦 - 《西北大学学报(自然科学版)》 被引量: 1发表: 2009年 广义Dedekind和及Hardy和的均值问题研究 Dedekind 和, Hardy和, Diric...
Hardy-Ramanujan's asymptotic formula for par- titions and the central limit theorem. Advances in Mathematics, 125(1):114-120, 1997.L. B´aez-Duarte: Hardy-Ramanujan's asymptotic formula for parti- tions and the central limit theorem, Adv. Math. 125 (1997) 114-120....
This is an extension of the classical Hardy-Ramanujan formula and Szekeres' formula. The proof relies on the saddle point method.doi:10.1016/j.jnt.2019.02.006Jiang, TiefengWang, KeElsevier ScienceJournal of Number TheoryTiefeng Jiang and Ke Wang, A generalized Hardy-Ramanujan formula for the ...