ON SIGN CHANGES FOR ALMOST PRIME COEFFICIENTS OF HALF‐INTEGRAL WEIGHT MODULAR FORMS

Srilakshmi Krishnamoorthy, M. Ram Murty

Type: Article

Publication Date: 2016-01-01

Citations: 2

DOI: https://doi.org/10.1112/s0025579316000048

Abstract

For a half-integral weight modular form of weight on such that () are real, we prove for a fixed suitable natural number that changes sign infinitely often as varies over numbers having at most prime factors, assuming the analog of the Ramanujan conjecture for Fourier coefficients of half-integral weight forms.

Locations

arXiv (Cornell University) - View - PDF
MPG.PuRe (Max Planck Society) - View - PDF
Mathematika - View

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Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	Non-vanishing of L-Functions and Applications	1997	M. Ram Murty V. Kumar Murty
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger
+ PDF Chat	Oscillations of Fourier coefficients of modular forms	1983	M. Ram Murty
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier
+ PDF Chat	Nonvanishing of $L$-Series and the combinatorial sieve	1997	Jeffrey Hoffstein Wenzhi Luo
+ PDF Chat	The Hoheisel phenomenon for generalized Dirichlet series	1973	Carlos Julio Moreno
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec
+	On Hecke eigenforms of half-integral weight	1992	Winfried Kohnen
+	Mean Values of Derivatives of Modular L-Series	1991	M. Ram Murty V. Kumar Murty
+	A SHORT NOTE ON FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS	2010	Winfried Kohnen