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Our aim is to give information about all the interesting lattices in "low" dimensions (and to provide them with a "home page"!). The data-base now contains about 160,000 lattices!
On the Magnus Function
Roger C. Alperin
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1 Introduction
There are uncountably many integer functions M : Z ¡! Z having the
properties
M(0) = 0;M(M(x)) = x;M(x) = M(M(x ¡ 1) ¡ 1) ¡ 1:
Using this B. Neumann [cf. M2] showed the existence of uncountably many
maximal non-parabolic subgroups of the modular group PSL2(Z).
Related data about elliptic curves, abelian varieties, etc.
William A. Stein
Collection of Tables Related to Modular Forms, Elliptic Curves, and Abelian Varieties
The Modular Forms Explorer (PostgreSQL)
The Interactive Modular Forms Explorer (uses ZOPE)
The Stein-Watkins tables of elliptic curves (see also the paper).
Elliptic Curves Information Calculator
PARI & MAGMA Calculator
Bibtex Reference for the Database
Talks About the Database
Lecture Notes
Software
C. Sekar, Karthick, and Dr.Thangadurai. IJIRIS:: International Journal of Innovative Research in Information Security, Volume VII (Issue IX):
81-86(September 2020)1. Noor, Sanjeevikumar Padmanaban , Lucian Mihet-Popa , Mohammad Nurunnabi Mollah and Eklas Hossain, “Components, Technologies, Challenges, Impacts, and Future Direction of Development”, Khulna University of Engineering and Technology, Khulna 9203, Bangladesh. 2. Mattia Ricco, et. al., “A Capacitor Voltage Balancing Approach Based on Mapping Strategy for MMC Applications” at University of Bologna, 40136 Bologna, 2019. 3. Miguel Moranchel, Francisco Huerta, Inés Sanz, Emilio Bueno and Francisco J. Rodríguez, “A Comparison of Modulation Techniques for Modular Multilevel Converters”, Universidad de Alcalá, Escuela Politécnica, 28805 Alcalá de Henares, Spain, 2016. 4. Xiaojie Shi, Zhiqiang Wang, Leon M. Tolbert and Fred Wang Center for Ultra-wide-area Resilient Electric Energy Transmission Networks (CURENT) “A Comparison of Phase Disposition and Phase Shift PWM Strategies for Modular Multilevel Converters” The University of Tennessee Knoxville, TN 37996-2250, USA-2013 5. Binbin Li, Shaoze Zhou, and Dianguo Xu, Stephen J. Finney, and Barry W. Williams “A Hybrid Modular Multilevel Converter for Medium-Voltage Variable-Speed Motor Drives” National Natural Science Foundation of China (51237002) and (51477034). 6. Mahran Quraan, Pietro Tricoli, Salvatore D’Arco, and Luigi Piegari, Senior,“Efficiency Assessment of Modular Multilevel Converters for Battery Electric Vehicles” University of Birmingham, Birmingham, March 2017. 7. Meiqin Mao , , Yong Ding, Liuchen Chang, Nikos D. Hatziargyriou, Fellow, Qiang Chen, Tinghuan Tao, and Yunwei Li, “Multi-Objective Power Management for EV Fleet With MMC-Based Integration Into Smart Grid” Ieee Transactions On Smart Grid, Vol. 10, No. 2, March 2019 8. Jahangeer Soomro, et. al., Comparative Analysis of Modular Multilevel Converter with Cascaded H Bridge Inverter using Five, Seven and Nine levels” International Journal of Recent Technology and Engineering, Vol. 7, Iss. 5S4, 2019 9. Elena Vergori ID, Francesco Mocera ID and Aurelio Somà ,I”Battery Modelling and Simulation Using a Programmable Testing Equipment”, 2018. 10. Yi Wang, et. al., “Nearest Level PWM Method for the MMC in DC Distribution Grids” North China Electric Power University, Baoding 071003, China. 11. Zhan Ma , Feng Gao , Xin Gu , Nan Li , Decun Niu “An Online SOH Testing Method of MMC Battery Energy Storage System” Jinan, China -2018. 12. Amrutvahini College of Engineering, Sangamner, India2,”Chandrakant Rahane, Vaibhav Varpe “Design and fabrication of regenerative braking system”, 2018. 13. Mattia Ricco, et. al., “FPGA-Based Implementation of MMC Control Based on Sorting Networks” at Cergy-Pontoise University, 95031 Cergy Pontoise, France; 2018. 14. Pratik Bhandari, et. al., Regenerative Braking Systems (RBS)” International Journal of Scientific & Engineering Research, University of Mumbai, India, 2017. 15. Sourabh Rathore, Mukesh Kumar Kirar and S. K Bhardwaj, “ H- Bridge Multilevel Inverter Using Pd, Pod, Apod Techniques”, Department of Electrical Engineering, MANIT, Bhopal, 2015..