RAMANUJAN’S THETA-FUNCTION IDENTITIES INVOLVING LAMBERT SERIES

NANDINI C S; SOWMYA M

RAMANUJAN’S THETA-FUNCTION IDENTITIES INVOLVING LAMBERT SERIES

Authors: NANDINI C S, SOWMYA M

Unique Paper ID: 172639
Volume: 8
Issue: 12
PageNo: 1650-1654

Keywords: Jacobi’s two-square theorem Identities of Ramanujan Theta-functions 2000 Mathematics Subject classification: Primary – 11E25 14K25

Abstract:
M.D. Hirschhorn [10] has shown that Jacobi’s two – square theorem is an immediate consequence of a famous identity of Jacobi. Motivated by this, we show how several identities of Ramanujan involving Lambert series, product and Quotient of theta functions follows easily from Jacobi’s triple product identity.

Download article

email to a friend

Cite This Article

ISSN: 2349-6002
Volume: 8
Issue: 12
PageNo: 1650-1654

RAMANUJAN’S THETA-FUNCTION IDENTITIES INVOLVING LAMBERT SERIES

Available:https://ijirt.org/Article?manuscript=172639

30 Dec, 2024

W-Energy of Induced Semigraphs of Paths and Cycles

23 Dec, 2024

The Global Marketplace: Dimensions of International Marketing

20 Dec, 2024

A Study of the Tourism Industry in Hassan District, Karnataka, India: Opportunities, Challenges, and Sustainability

20 Dec, 2024

Assessing the Government Initiatives on Farmers' Financial Inclusion in Karnataka

19 Dec, 2024

ORGANIZATIONAL ETHICS FOR SUSTAINABLE DEVELOPMENT

13 Mar, 2025

A STUDY ON THE ACADEMIC PRACTICES IN TEACHING MATHEMATICS

29 Jan, 2025

Categorical Logic: A Bridge Between Logic and Abstract Algebra

29 Jan, 2025

Exploring New Insights into the Riemann Hypothesis

09 Jan, 2025

Changing Behaviour of Retail Customer and Customer Relationship Management

08 Jan, 2025

Computing exact solution for linear partial differential equation by Adomian decomposition method and Variational iteration method

30 Dec, 2024

W-Energy of Induced Semigraphs of Paths and Cycles

23 Dec, 2024

The Global Marketplace: Dimensions of International Marketing

20 Dec, 2024

A Study of the Tourism Industry in Hassan District, Karnataka, India: Opportunities, Challenges, and Sustainability

20 Dec, 2024

Assessing the Government Initiatives on Farmers' Financial Inclusion in Karnataka

19 Dec, 2024

ORGANIZATIONAL ETHICS FOR SUSTAINABLE DEVELOPMENT

13 Mar, 2025

A STUDY ON THE ACADEMIC PRACTICES IN TEACHING MATHEMATICS

29 Jan, 2025

Categorical Logic: A Bridge Between Logic and Abstract Algebra

29 Jan, 2025

Exploring New Insights into the Riemann Hypothesis

09 Jan, 2025

Changing Behaviour of Retail Customer and Customer Relationship Management

08 Jan, 2025

Computing exact solution for linear partial differential equation by Adomian decomposition method and Variational iteration method

Impact Factor
8.01 (Year 2024)

UGC Approved
Journal no 47859

Join Our IPN

IJIRT Partner Network

Submit your research paper and those of your network (friends, colleagues, or peers) through your IPN account, and receive 800 INR for each paper that gets published.

Join Now

Latest Publication

Recent Conferences

NCSEM 2024

National Conference on Sustainable Engineering and Management - 2024 Last Date: 15th March 2024

Submit inquiry