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Krishnaswami Alladi 《Annals of Combinatorics》2016,20(1):1-20
Continuing our earlier work on partitions with non-repeating odd parts and q-hypergeometric identities, we now study these partitions combinatorially by representing them in terms of 2-modular Ferrers graphs. This yields certain weighted partition identities with free parameters. By special choices of these parameters, we connect them to the Göllnitz-Gordon partitions, and combinatorially prove a modular identity and some parity results. As a consequence, we derive a shifted partition theorem mod 32 of Andrews. Finally we discuss basis partitions in connection with the 2-modular representation of partitions with non-repeating odd parts, and deduce two new parity results involving partial theta series. 相似文献
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Krishnaswami Alladi 《The Ramanujan Journal》2013,31(1-2):213-238
Utilizing a six-variable extension of Heine’s q-hypergeometric transformation that we previously obtained, we now derive variants of Heine’s transformation formula and the Lebesgue identity. The variant of Cauchy’s identity also obtained by us earlier is crucial in these derivations. We then establish some new partition identities which are variants of, and shed new light on, some fundamental classical partition identities. 相似文献
25.
Alladi Sitaram 《Journal of Functional Analysis》1978,27(2):179-184
Let G be a semisimple noncompact Lie group with finite center and let K be a maximal compact subgroup. Then W. H. Barker has shown that if T is a positive definite distribution on G, then T extends to Harish-Chandra's Schwartz space 1(G). We show that the corresponding property is no longer true for the space of double cosets . If G is of real-rank 1, we construct liner functionals for each p, 0 < p ? 2, such that but Tp does not extend to a continuous functional on . In particular, if p ? 1, Tv does not extend to a continuous functional on . We use this to answer a question (in the negative) raised by Barker whether for a K-bi-invariant distribution T on G to be positive definite it is enough to verify that . The main tool used is a theorem of Trombi-Varadarajan. 相似文献
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Sen Gupta S Raja KS Kaltgrad E Strable E Finn MG 《Chemical communications (Cambridge, England)》2005,(34):4315-4317
The Cu(I)-catalyzed ATRP and azide-alkyne cycloaddition reactions together provide a versatile method for the synthesis of end-functionalized glycopolymers and their attachment to a suitably modified viral protein scaffold. 相似文献
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Salil Pradhan Purushothaman Damodaran Krishnaswami Srihari 《European Journal of Operational Research》2008
Optoelectronic products are typically assembled and tested in a flow shop environment with multiple processors at each stage. The first few stages are dedicated for assembly and the later stages are dedicated for calibration and testing. Whenever a product (or job) fails at a stage, it is routed back to one of the downstream stages or to the same stage (depending upon the nature of the failure). Consequently, the product could circulate several times between the current stage and the preceding stage(s) before moving to the next stage. Estimating the performance measures (such as WIP and flow time) of such manufacturing systems is not trivial. This paper presents analytical approximations to estimate the performance measures of a manufacturing system with multiple product classes, job circulations due to failures, and some resources being shared among different product classes. The analytical approximations were verified using simulation on several problem instances. The experimental study indicates that these approximations can be used by operations managers to estimate the performance measures of a manufacturing system with product failures. 相似文献
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S. D. Sunawala K. R. Krishnaswami C. S. Piper J. I. Tschernjajewa R. W. Krassnowskaja T. Noda S. S. Makarow und W. W. Bukina 《Fresenius' Journal of Analytical Chemistry》1935,103(5-6):214-215
Ohne Zusammenfassung 相似文献
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Krishnaswami Alladi 《The Ramanujan Journal》2012,29(1-3):339-358
We analyze a two-parameter q-series identity in Ramanujan’s Lost Notebook that generalizes the product part of the fundamental one-parameter Lebesgue identity. From reformulations of this two-parameter identity, we deduce new partition theorems including variants of the Gauss triangular number identity and Euler’s pentagonal number theorem. We discuss connections with a partial theta identity of Ramanujan and with several classical results such as those of Sylvester and Göllnitz–Gordon. 相似文献
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