On modified diagonal cycles in the triple products of Fermat quotients

2000 ◽  
Vol 235 (4) ◽  
pp. 727-746 ◽  
Author(s):  
Ken-ichiro Kimura
Keyword(s):  
Fermat Quotients

scholarly journals On the $p$-divisibility of the Fermat quotients

1978 ◽  
Vol 32 (141) ◽  
pp. 297-297 ◽  
Author(s):  
Wells Johnson
Keyword(s):  
Fermat Quotients

Indices of subfields of cyclotomic Zp-extensions and higher degree Fermat quotients

2015 ◽  
Vol 169 (2) ◽  
pp. 101-114 ◽  
Author(s):  
Yoko Inoue ◽  
Kaori Ota
Keyword(s):  
Fermat Quotients

scholarly journals On the $p$-divisibility of Fermat quotients

1997 ◽  
Vol 66 (219) ◽  
pp. 1353-1366 ◽  
Author(s):  
R. Ernvall ◽  
T. Metsänkylä
Keyword(s):  
Fermat Quotients

scholarly journals Fermat Quotients over Function Fields

1997 ◽  
Vol 3 (4) ◽  
pp. 275-286 ◽  
Author(s):  
Jim Sauerberg ◽  
Linghsueh Shu
Keyword(s):  
Function Fields ◽  
Fermat Quotients

scholarly journals AN EXTENSION OF SURY’S IDENTITY AND RELATED CONGRUENCES

2011 ◽  
Vol 85 (3) ◽  
pp. 482-496 ◽  
Author(s):  
ROMEO MEŠTROVIĆ
Keyword(s):  
Combinatorial Identity ◽  
Fermat Quotients

AbstractIn this paper we give an extension of a curious combinatorial identity due to B. Sury. Our proof is very simple and elementary. As an application, we obtain two congruences for Fermat quotients modulo p3. Moreover, we prove an extension of a result by H. Pan that generalizes Carlitz’s congruence.

scholarly journals Les θ-régulateurs locaux d'un nombre algébrique : Conjectures p-adiques

2016 ◽  
Vol 68 (3) ◽  
pp. 571-624 ◽  
Author(s):  
Georges Gras
Keyword(s):  
Irreducible Representation ◽  
Linear Representation ◽  
Number Fields ◽  
Binomial Probability ◽  
Irreducible Characters ◽  
Fermat Quotients ◽  
Numerical Studies

AbstractLet K/ℚ be Galois and let η K ×be such that Reg∞(η)=0 .We define the local θ–regulator for the ℚp–irreducible characters θ of G = Gal(Kℚ). Let Vθ be the θ-irreducible representation. A linear representation is associated with whose nullity is equivalent to δ≥1. Each yields Regθp modulo p in the factorization of (normalized p–adic regulator). From Prob f ≥ 1 is a residue degree) and the Borel–Cantelli heuristic, we conjecture that for p large enough, RegGp(η) is a p–adic unit (a single with f = δ=1); this obstruction may be led assuming the existence of a binomial probability law confirmed through numerical studies (groups C3, C5, D6) is conjecture would imply that for all p large enough, Fermat quotients, normalized p–adic regulators are p–adic units and that number fields are p-rational.We recall some deep cohomological results that may strengthen such conjectures.

Pseudo-random subsets constructed by using Fermat quotients

2019 ◽  
Vol 94 (1-2) ◽  
pp. 55-74
Author(s):  
Huaning Liu ◽  
Guotuo Zhang
Keyword(s):  
Fermat Quotients
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