Geodesic
Some Somos's Theta Function Identities of Level 6 and Application to Partitions
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 137

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

M.~Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. He runs PARI/GP scripts and it works as a sophisticated programmable calculator. These identities highly resemble those of Ramanujan's identities. Here we prove few theta-function identities of level 6 discovered by Somos by using modular equations of degree 3 given by Ramanujan and further we extract some interesting combinatorial interpretations of colored partitions.
DOI : 10.2298/PIM2022137S
Classification : 11F27, 11P81
Keywords: theta functions, modular equation, partitions 
Belakavadi Radhakrishna Srivatsa Kumar; Gururaj Sharath. Some Somos's Theta Function Identities of Level 6 and Application to Partitions. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 137 . doi: 10.2298/PIM2022137S
@article{10_2298_PIM2022137S,
     author = {Belakavadi Radhakrishna Srivatsa Kumar and Gururaj Sharath},
     title = {Some {Somos's} {Theta} {Function} {Identities} of {Level} 6 and {Application} to {Partitions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {137 },
     year = {2020},
     volume = {_N_S_108},
     number = {122},
     doi = {10.2298/PIM2022137S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022137S/}
}
TY  - JOUR
AU  - Belakavadi Radhakrishna Srivatsa Kumar
AU  - Gururaj Sharath
TI  - Some Somos's Theta Function Identities of Level 6 and Application to Partitions
JO  - Publications de l'Institut Mathématique
PY  - 2020
SP  - 137 
VL  - _N_S_108
IS  - 122
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM2022137S/
DO  - 10.2298/PIM2022137S
LA  - en
ID  - 10_2298_PIM2022137S
ER  - 
%0 Journal Article
%A Belakavadi Radhakrishna Srivatsa Kumar
%A Gururaj Sharath
%T Some Somos's Theta Function Identities of Level 6 and Application to Partitions
%J Publications de l'Institut Mathématique
%D 2020
%P 137 
%V _N_S_108
%N 122
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM2022137S/
%R 10.2298/PIM2022137S
%G en
%F 10_2298_PIM2022137S

Cité par Sources :