The spin of prime ideals
Friedlander, J. B. ; Iwaniec, H. ; Mazur, B. ; Rubin, K.
arXiv, 1110.6331 / Harvested from arXiv
Text on arXiv
Fixing a nontrivial automorphism of a number field K, we associate to ideals in K an invariant (with values in {0,1,-1}) that we call the "spin" and for which the associated L-function does not possess Euler products. We are nevertheless able, using the techniques of bilinear forms, to handle spin value distribution over primes, obtaining stronger results than the analogous ones which follow from the technology of L-functions in its current state. The initial application of our theorem is to the arithmetic statistics of Selmer groups of elliptic curves.
Publié le : 2011-10-28
Classification:  Mathematics - Number Theory,  11R44 (Primary) 11G05 (Secondary) 
@article{1110.6331,
     author = {Friedlander, J. B. and Iwaniec, H. and Mazur, B. and Rubin, K.},
     title = {The spin of prime ideals},
     journal = {arXiv},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1110.6331}
}

Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. The spin of prime ideals. arXiv, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/1110.6331/