Character sums and products of factorials modulo
Moubariz Z. Garaev[1]; Florian Luca[2]
- [1] Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58180, Morelia, Michoacán, México
- [2] Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58180, Morelia, Michoacán, México
Journal de Théorie des Nombres de Bordeaux (2005)
- Volume: 17, Issue: 1, page 151-160
- ISSN: 1246-7405
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topGaraev, Moubariz Z., and Luca, Florian. "Character sums and products of factorials modulo $p$." Journal de Théorie des Nombres de Bordeaux 17.1 (2005): 151-160. <http://eudml.org/doc/249451>.
@article{Garaev2005,
abstract = {In this paper, we apply character sum estimates to study products of factorials modulo $p$.},
affiliation = {Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58180, Morelia, Michoacán, México; Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58180, Morelia, Michoacán, México},
author = {Garaev, Moubariz Z., Luca, Florian},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {congruences; number of solutions},
language = {eng},
number = {1},
pages = {151-160},
publisher = {Université Bordeaux 1},
title = {Character sums and products of factorials modulo $p$},
url = {http://eudml.org/doc/249451},
volume = {17},
year = {2005},
}
TY - JOUR
AU - Garaev, Moubariz Z.
AU - Luca, Florian
TI - Character sums and products of factorials modulo $p$
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2005
PB - Université Bordeaux 1
VL - 17
IS - 1
SP - 151
EP - 160
AB - In this paper, we apply character sum estimates to study products of factorials modulo $p$.
LA - eng
KW - congruences; number of solutions
UR - http://eudml.org/doc/249451
ER -
References
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- M. Z. Garaev, F. Luca, I. E. Shparlinski, Exponential sums and congruences with factorials. J. reine angew. Math., to appear. Zbl1071.11051MR2155084
- M. Z. Garaev, F. Luca, I. E. Shparlinski, Waring problem with factorials mod . Bull. Australian Math. Soc. 71 (2005), 259–264. Zbl1076.11013MR2133409
- A. A. Karatsuba, The distribution of products of shifted prime numbers in arithmetic progressions. Dokl. Akad. Nauk SSSR 192 (1970), 724–727 (in Russian). Zbl0224.10043MR269611
- F. Luca, P. Stănică, Products of factorials modulo . Colloq. Math. 96 no. 2 (2003), 191–205. Zbl1042.11002MR2010354
- A. Sárkőzy, On the distribution of residues of products of integers. Acta Math. Hung. 49 (3-4) (1987), 397–401. Zbl0629.10004MR891052
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