SIGN CHANGES OF FOURIER COEFFICIENTS OF ENTIRE MODULAR INTEGRALS
Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 355-358
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Let f be a non-zero cusp form with real Fourier coefficients a(n) (n ≥ 1) of positive real weight k and a unitary multiplier system v on a subgroup Γ ⊂ SL2(R) that is finitely generated and of Fuchsian type of the first kind. Then, it is known that the sequence (a(n))(n ≥ 1) has infinitely many sign changes. In this short note, we generalise the above result to the case of entire modular integrals of non-positive integral weight k on the group Γ0*(N) (N ∈ N) generated by the Hecke congruence subgroup Γ0(N) and the Fricke involution provided that the associated period functions are polynomials.
CHOIE, YOUNGJU; KOHNEN, WINFRIED. SIGN CHANGES OF FOURIER COEFFICIENTS OF ENTIRE MODULAR INTEGRALS. Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 355-358. doi: 10.1017/S0017089512000018
@article{10_1017_S0017089512000018,
author = {CHOIE, YOUNGJU and KOHNEN, WINFRIED},
title = {SIGN {CHANGES} {OF} {FOURIER} {COEFFICIENTS} {OF} {ENTIRE} {MODULAR} {INTEGRALS}},
journal = {Glasgow mathematical journal},
pages = {355--358},
year = {2012},
volume = {54},
number = {2},
doi = {10.1017/S0017089512000018},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000018/}
}
TY - JOUR AU - CHOIE, YOUNGJU AU - KOHNEN, WINFRIED TI - SIGN CHANGES OF FOURIER COEFFICIENTS OF ENTIRE MODULAR INTEGRALS JO - Glasgow mathematical journal PY - 2012 SP - 355 EP - 358 VL - 54 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000018/ DO - 10.1017/S0017089512000018 ID - 10_1017_S0017089512000018 ER -
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