On some properties of polynomials related to hypergeometric modular forms

Masanobu Kaneko; Naruya Niiho

doi:10.1007/s11139-006-0146-3

On some properties of polynomials related to hypergeometric modular forms

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

Abstract

We find the discriminants, Galois groups, and prove the irreducibility of certain hypergeometric polynomials, which are closely related to modular forms and supersingular elliptic curves.

Original language	English
Pages (from-to)	321-325
Number of pages	5
Journal	Ramanujan Journal
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/s11139-006-0146-3
Publication status	Published - Dec 2006

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1007/s11139-006-0146-3

Cite this

@article{691cd96aaace46bb8d00135cbf63019b,

title = "On some properties of polynomials related to hypergeometric modular forms",

abstract = "We find the discriminants, Galois groups, and prove the irreducibility of certain hypergeometric polynomials, which are closely related to modular forms and supersingular elliptic curves.",

author = "Masanobu Kaneko and Naruya Niiho",

year = "2006",

month = dec,

doi = "10.1007/s11139-006-0146-3",

language = "English",

volume = "12",

pages = "321--325",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - On some properties of polynomials related to hypergeometric modular forms

AU - Kaneko, Masanobu

AU - Niiho, Naruya

PY - 2006/12

Y1 - 2006/12

N2 - We find the discriminants, Galois groups, and prove the irreducibility of certain hypergeometric polynomials, which are closely related to modular forms and supersingular elliptic curves.

AB - We find the discriminants, Galois groups, and prove the irreducibility of certain hypergeometric polynomials, which are closely related to modular forms and supersingular elliptic curves.

UR - http://www.scopus.com/inward/record.url?scp=33751535115&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751535115&partnerID=8YFLogxK

U2 - 10.1007/s11139-006-0146-3

DO - 10.1007/s11139-006-0146-3

M3 - Article

AN - SCOPUS:33751535115

SN - 1382-4090

VL - 12

SP - 321

EP - 325

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 3

ER -

On some properties of polynomials related to hypergeometric modular forms

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this