Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On some P-Q modular equations of degree 45
View through CrossRef
On page 330 of his second notebook, Srinivasa Ramanujan recorded a P-Q modular equation of degree 45, proof of which has been given by Bruce C. Berndt via theory of modular forms. We in this paper, give a simple proof of the same using the identities of Ramanujan and also establish few new P-Q modular equations of degree 45. Further using these, we establish certain new modular equations of signature 3.
Title: On some P-Q modular equations of degree 45
Description:
On page 330 of his second notebook, Srinivasa Ramanujan recorded a P-Q modular equation of degree 45, proof of which has been given by Bruce C.
Berndt via theory of modular forms.
We in this paper, give a simple proof of the same using the identities of Ramanujan and also establish few new P-Q modular equations of degree 45.
Further using these, we establish certain new modular equations of signature 3.
Related Results
Design features of modular buildings
Design features of modular buildings
The paper is devoted to modular buildings as а current topic of modern construction. A significant number of studies on this topic have appeared both in Russia and abroad in last y...
The Absence of Smart Technology as One of The Key Factors of Transportation in Modular Construction: A Case Study in Malaysia
The Absence of Smart Technology as One of The Key Factors of Transportation in Modular Construction: A Case Study in Malaysia
Modular construction is a new method introduced to meet the modernisation agenda in the Malaysian construction industry. It provides various benefits to the construction industry, ...
Age-related changes of the time-varying features in the brain functional connectivity and cognitive ageing
Age-related changes of the time-varying features in the brain functional connectivity and cognitive ageing
Brain functional modular organization changes with age. Considering the
brain as a dynamic system, recent studies have suggested that
time-varying connectivity provides more inform...
Modular Construction: A Comprehensive Review
Modular Construction: A Comprehensive Review
Modular construction has the potential to transform the construction industry, as most (80–95%) of the modules, which are considered prefabricated buildings, are manufactured off-s...
4 - Reengineering Postgraduate Curricula and its Mode of Delivery: Graduate Students’ Views of Modular Course Delivery at Addis Ababa University
4 - Reengineering Postgraduate Curricula and its Mode of Delivery: Graduate Students’ Views of Modular Course Delivery at Addis Ababa University
The purpose of this study was to examine the graduate students’ views regarding the modular course delivery of the master’s programme in Addis Ababa University. It attempted to ans...
Increasing the cognitive activity of students through the use of modular learning technologies
Increasing the cognitive activity of students through the use of modular learning technologies
The aim of this study is to determine the perception levels of university students about increasing the cognitive activities of students by using modular learning technologies. The...
Theory of flexure of orthotropic multi-layer circular sandwich plates
Theory of flexure of orthotropic multi-layer circular sandwich plates
The theory of flexure of multi-layer orthotropic circular sandwich plates is obtained by extremizing the augmented complementary energy. The complementary energy is the sum of the ...
Modular Topsides for Large Floating Production Platforms
Modular Topsides for Large Floating Production Platforms
1. ABSTRACT
Topsides for floating production systems are traditionally built as integrated decks. This paper describes the results of study work, conducted to det...