Essays about: "low-lying zeros"
Found 2 essays containing the words low-lying zeros.
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1. Low-lying zeroes of L-functions attached to modular forms
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : We study the family of L-functions attached to Hecke newforms of weight k and level N and their low-lying zeroes. First, we recall the Density Conjecture of Katz and Sarnak and how it predicts the behaviour of the low-lying zeroes of any natural family of L-functions. READ MORE
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2. The low-lying zeros of L-functions associated to non-Galois cubic fields
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : We study the low-lying zeros of Artin L-functions associated to non-Galois cubic number fields through their one- and two-level densities. In particular, we find new precise estimates for the two-level density with a power-saving error term. READ MORE