scholarly journals Arithmetic invariants from Sato–Tate moments

2019 ◽  
Vol 357 (11-12) ◽  
pp. 823-826 ◽  
Author(s):  
Edgar Costa ◽  
Francesc Fité ◽  
Andrew V. Sutherland
2010 ◽  
Vol 154 (3) ◽  
pp. 431-508 ◽  
Author(s):  
Benedict H. Gross ◽  
Mark Reeder

2012 ◽  
Vol 08 (04) ◽  
pp. 933-944 ◽  
Author(s):  
CHAD AWTREY

Let n be an integer and p be a prime number. An important problem in number theory is to classify the degree n extensions of the p-adic numbers through their arithmetic invariants. The most difficult cases arise when p divides n and n is composite. In this paper, we consider the case n = 12 and p = 3; the degrees n < 12 having previously been determined.


2009 ◽  
pp. 597-631 ◽  
Author(s):  
Omar Camarena ◽  
Gregory Maloney ◽  
Roland W. Roeder

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