# A class number criterion for the equation $({x}^{p}-1)/(x-1)=p{y}^{q}$

Acta Arithmetica (2007)

- Volume: 127, Issue: 4, page 391-401
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topBenjamin Dupuy. "A class number criterion for the equation $(x^p - 1)/(x-1) = py^q$." Acta Arithmetica 127.4 (2007): 391-401. <http://eudml.org/doc/278075>.

@article{BenjaminDupuy2007,

author = {Benjamin Dupuy},

journal = {Acta Arithmetica},

keywords = {Nagell-Ljunggren equation; cyclotomic field; relative class number},

language = {eng},

number = {4},

pages = {391-401},

title = {A class number criterion for the equation $(x^p - 1)/(x-1) = py^q$},

url = {http://eudml.org/doc/278075},

volume = {127},

year = {2007},

}

TY - JOUR

AU - Benjamin Dupuy

TI - A class number criterion for the equation $(x^p - 1)/(x-1) = py^q$

JO - Acta Arithmetica

PY - 2007

VL - 127

IS - 4

SP - 391

EP - 401

LA - eng

KW - Nagell-Ljunggren equation; cyclotomic field; relative class number

UR - http://eudml.org/doc/278075

ER -

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