Distinguishing newforms

Sam Chow; Alex Ghitza

doi:10.1142/S1793042115500499

Distinguishing newforms

Sam Chow, Alex Ghitza

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Abstract

Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.

Original language	English
Pages (from-to)	893-908
Number of pages	16
Journal	International Journal of Number Theory
Volume	11
Early online date	1 Oct 2014
DOIs	https://doi.org/10.1142/S1793042115500499
Publication status	Published - May 2015

Keywords

Newforms
Fourier coefficients

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10.1142/S1793042115500499

newforms_140721_UK_Sam
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via World Scientific at http://www.worldscientific.com/doi/abs/10.1142/S1793042115500499. Please refer to any applicable terms of use of the publisher.
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title = "Distinguishing newforms",

abstract = "Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.",

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PY - 2015/5

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N2 - Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.

AB - Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.

KW - Newforms

KW - Fourier coefficients

U2 - 10.1142/S1793042115500499

DO - 10.1142/S1793042115500499

M3 - Article (Academic Journal)

SN - 1793-0421

VL - 11

SP - 893

EP - 908

JO - International Journal of Number Theory

JF - International Journal of Number Theory

ER -

Distinguishing newforms

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