TY - JOUR
T1 - A Note on Somos’s Identities of Level 6
AU - Radha, D. Anu
AU - Kumar, B. R.Srivatsa
AU - Udupa, N. V.Sayinath
N1 - Publisher Copyright:
© 2022. IAENG International Journal of Applied Mathematics. All Rights Reserved.
PY - 2022
Y1 - 2022
N2 - Michael Somos conjectured thousands of theta-functions of various levels with the help of computer and not provided the proof. These theta-functions highly matches Ramanujan’s recordings. The objective of our work in this paper is to prove two theta-functions of level 6 conjectured by Somos and to give an alternate proof of the identities proved by B. R. Srivatsa Kumar and G. Sharath. Further, as an application of this, we offer colored partition identities for the same.
AB - Michael Somos conjectured thousands of theta-functions of various levels with the help of computer and not provided the proof. These theta-functions highly matches Ramanujan’s recordings. The objective of our work in this paper is to prove two theta-functions of level 6 conjectured by Somos and to give an alternate proof of the identities proved by B. R. Srivatsa Kumar and G. Sharath. Further, as an application of this, we offer colored partition identities for the same.
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M3 - Article
AN - SCOPUS:85131080921
SN - 1992-9978
VL - 52
JO - IAENG International Journal of Applied Mathematics
JF - IAENG International Journal of Applied Mathematics
IS - 2
M1 - IJAM_52_2_15
ER -