A NEW PROOF OF SOMOS’S IDENTITIES OF LEVEL 6

D. Anu Radha; B. R. Srivatsa Kumar; N. V. Sayinath Udupa

A NEW PROOF OF SOMOS’S IDENTITIES OF LEVEL 6

D. Anu Radha
, B. R. Srivatsa Kumar^*
, N. V. Sayinath Udupa

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

Abstract

M. Somos discovered around 6200 theta function identities of various levels by using PARI/GP script. He has not offered any proof for these identities. In this paper, we prove Somos’s theta-function identities of level 6 by using modular equation of degree 3.

Original language	English
Pages (from-to)	930-936
Number of pages	7
Journal	Palestine Journal of Mathematics
Volume	12
Issue number	1
Publication status	Published - 2023

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "A NEW PROOF OF SOMOS{\textquoteright}S IDENTITIES OF LEVEL 6",

abstract = "M. Somos discovered around 6200 theta function identities of various levels by using PARI/GP script. He has not offered any proof for these identities. In this paper, we prove Somos{\textquoteright}s theta-function identities of level 6 by using modular equation of degree 3.",

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AU - Anu Radha, D.

AU - Srivatsa Kumar, B. R.

AU - Sayinath Udupa, N. V.

N1 - Publisher Copyright: © Palestine Polytechnic University-PPU 2023.

PY - 2023

Y1 - 2023

N2 - M. Somos discovered around 6200 theta function identities of various levels by using PARI/GP script. He has not offered any proof for these identities. In this paper, we prove Somos’s theta-function identities of level 6 by using modular equation of degree 3.

AB - M. Somos discovered around 6200 theta function identities of various levels by using PARI/GP script. He has not offered any proof for these identities. In this paper, we prove Somos’s theta-function identities of level 6 by using modular equation of degree 3.

UR - https://www.scopus.com/pages/publications/85153714926

UR - https://www.scopus.com/pages/publications/85153714926#tab=citedBy

M3 - Article

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SN - 2219-5688

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JO - Palestine Journal of Mathematics

JF - Palestine Journal of Mathematics

IS - 1

ER -

A NEW PROOF OF SOMOS’S IDENTITIES OF LEVEL 6

Abstract

All Science Journal Classification (ASJC) codes

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