# Representation of prime powers in arithmetical progressions by binary quadratic forms

Journal de théorie des nombres de Bordeaux (2003)

- Volume: 15, Issue: 1, page 141-149
- ISSN: 1246-7405

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topHalter-Koch, Franz. "Representation of prime powers in arithmetical progressions by binary quadratic forms." Journal de théorie des nombres de Bordeaux 15.1 (2003): 141-149. <http://eudml.org/doc/249085>.

@article{Halter2003,

abstract = {Let $\Gamma $ be a set of binary quadratic forms of the same discriminant, $\Delta $ a set of arithmetical progressions and $m$ a positive integer. We investigate the representability of prime powers $p^m$ lying in some progression from $\Delta $ by some form from $\Gamma $.},

author = {Halter-Koch, Franz},

journal = {Journal de théorie des nombres de Bordeaux},

keywords = {arithmetic progressions; genus theory; quadratic forms},

language = {eng},

number = {1},

pages = {141-149},

publisher = {Université Bordeaux I},

title = {Representation of prime powers in arithmetical progressions by binary quadratic forms},

url = {http://eudml.org/doc/249085},

volume = {15},

year = {2003},

}

TY - JOUR

AU - Halter-Koch, Franz

TI - Representation of prime powers in arithmetical progressions by binary quadratic forms

JO - Journal de théorie des nombres de Bordeaux

PY - 2003

PB - Université Bordeaux I

VL - 15

IS - 1

SP - 141

EP - 149

AB - Let $\Gamma $ be a set of binary quadratic forms of the same discriminant, $\Delta $ a set of arithmetical progressions and $m$ a positive integer. We investigate the representability of prime powers $p^m$ lying in some progression from $\Delta $ by some form from $\Gamma $.

LA - eng

KW - arithmetic progressions; genus theory; quadratic forms

UR - http://eudml.org/doc/249085

ER -

## References

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- [6] H. Hasse, Number Theory. Springer, 1980. Zbl0423.12002MR562104
- [7] P. Kaplan, K.S. Williams, Representation of Primes in Arithmetic Progressions by Binary Quadratic Forms. J. Number Theory45 (1993), 61-67. Zbl0790.11031MR1239546
- [8] T. Kusaba, Remarque sur la distribution des nombres premiers. C. R. Acad. Sci. Paris Sér. A265 (1967), 405-407. Zbl0204.06604MR224574
- [9] A. Meyer, Über einen Satz von Dirichlet. J. Reine Angew. Math.103 (1888), 98-117. JFM20.0192.02

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