English

Analytic isolation of newforms of given level

Number Theory 2018-01-29 v3

Abstract

We describe a method for understanding averages over newforms on Γ0(q)\Gamma_0(q) in terms of averages over all forms of some level. The method is simplest when qq is divisible by the cubes of its prime divisors.

Cite

@article{arxiv.1601.02530,
  title  = {Analytic isolation of newforms of given level},
  author = {Paul D. Nelson},
  journal= {arXiv preprint arXiv:1601.02530},
  year   = {2018}
}

Comments

12 pages; references added, minor edits

R2 v1 2026-06-22T12:26:59.466Z