Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions

Andrews, George E.; Berndt, Bruce C.

doi:10.1007/978-1-4614-3810-6_5

Cited by 4 publications

(4 citation statements)

References 98 publications

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“…The village of Chunchucmil is the closest modern settlement to ancient Chunchucmil, lying 2 km to the west of the site core. Archival research by Tony Andrews (2001) provides information about the historic-period occupation of Chunchucmil.…”

Section: Historic-period Chunchucmilmentioning

confidence: 99%

“…Maps from the mid-eighteenth century and onward often portray a trail running northwest from the Puuc hills to the coast (A. P. Andrews 2001). The trail usually hits the coast at the mouth of the Celestún estuary about 3 km north of Punta Canbalam, suggesting that the trail served to bring salt inland from the Celestún salt flats.…”

Section: Chunchucmil's Long-distance Trade Routementioning

confidence: 99%

“…An undated historic canal, used to bring logwood out to the coast, begins at Rancho San Simón and comes within 500 m of venezia. In the 1890s, the owner of Chunchucmil, Simón Peón, had the venezia/San Simón canal dredged and built a narrow-gauge rail-a tranvia-alongside it for part of the way from San Simón to venezia (A. P. Andrews 2001). The tranvía extended eastward from San Simón to the hacienda of Chunchucmil.…”

Section: Chunchucmil's Long-distance Trade Routementioning

confidence: 99%

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Ancient Maya Commerce Multidisciplinary Research at Chunchucmil

2017

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for kindnesses of all sorts. We lived in the village of Chunchucmil beginning in 2000, and we thank Alejandro Patrón, gualberto Tzuc Mena, Juventino Tzuc Dzul, Aida Cahuich Canul, and guadalupe Canul Chim for making this possible.The Consejo de Arqueología of the Instituto Nacional de Antropología e Historia provided permission to conduct research in Mexico. We thank the presidents of the consejo-Ing. Joaquin garcía Bárcena, Arqlgo. Roberto garcía Moll, and Arqlga. Mari Carmen Serra Puche-as well as the directors of the Centro INAH Yucatán-Luis Millet Cámara and Alfredo Barrera Rubio-for their efforts on our behalf.

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Section: Historic-period Chunchucmilmentioning

confidence: 99%

Section: Chunchucmil's Long-distance Trade Routementioning

confidence: 99%

Section: Chunchucmil's Long-distance Trade Routementioning

confidence: 99%

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Ancient Maya Commerce Multidisciplinary Research at Chunchucmil

2017

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“…ere are also a lot of literatures on the number of some types of restricted partitions of n (such as [6][7][8][9][10][11][12][13]) or on the congruence properties of (restricted) partition function (such as [14][15][16][17][18][19][20][21]).…”

Section: Introductionmentioning

confidence: 99%

On the Number of Conjugate Classes of Derangements

Cheng²,

Liu

2021

Journal of Mathematics

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The number of conjugate classes of derangements of order n is the same as the number h n of the restricted partitions with every portion greater than 1. It is also equal to the number of isotopy classes of 2 × n Latin rectangles. Sometimes the exact value is necessary, while sometimes we need the approximation value. In this paper, a recursion formula of h n will be obtained and also will some elementary approximation formulae with high accuracy for h n be presented. Although we may obtain the value of h n in some computer algebra system, it is still meaningful to find an efficient way to calculate the approximate value, especially in engineering, since most people are familiar with neither programming nor CAS software. This paper is mainly for the readers who need a simple and practical formula to obtain the approximate value (without writing a program) with more accuracy, such as to compute the value in a pocket science calculator without programming function. Some methods used here can also be applied to find the fitting functions for some types of data obtained in experiments.

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Multiranks for Partitions into Multi-Colors

Zhou

2012

Electron. J. Combin.

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Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions

Cited by 4 publications

References 98 publications

Ancient Maya Commerce Multidisciplinary Research at Chunchucmil

Ancient Maya Commerce Multidisciplinary Research at Chunchucmil

On the Number of Conjugate Classes of Derangements

Multiranks for Partitions into Multi-Colors

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