TY - JOUR
T1 - New modular equations of signature three in the spirit of Ramanujan
AU - Srivatsa Kumar, B. R.
AU - Shruthi,
N1 - Funding Information:
2010 Mathematics Subject Classification. 11F32, 14H42 Keywords. Modular equations, Theta functions Received: 09 September 2019; Revised: 24 January 2020; Accepted: 26 January 2020 Communicated by Hari M. Srivastava The first author thank SERB, DST, India for providing funding through the project [EMR/2016/001601]. Email addresses: sri−[email protected] (B. R. Srivatsa Kumar), [email protected] (Shruthi)
Publisher Copyright:
© 2020, University of Nis. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2020
Y1 - 2020
N2 - Srinivasa Ramanujan recorded many modular equations in his notebooks, which are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature three by using theta function identities of composite degrees.
AB - Srinivasa Ramanujan recorded many modular equations in his notebooks, which are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature three by using theta function identities of composite degrees.
UR - https://www.scopus.com/pages/publications/85099247115
UR - https://www.scopus.com/pages/publications/85099247115#tab=citedBy
U2 - 10.2298/FIL2009847S
DO - 10.2298/FIL2009847S
M3 - Article
AN - SCOPUS:85099247115
SN - 0354-5180
VL - 34
SP - 2847
EP - 2868
JO - Filomat
JF - Filomat
IS - 9
ER -