18 citations · 48 across the 6 of their papers we have counts for
6 papers
On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products
Banu Irez Aydin, Ilker Inam
Systematic choice of the Hecke eigenforms of half-integral weight is an interesting problem in the theory of modular forms. In this paper, we find all Dedekind-eta products of half…
On the distribution of coefficients of half-integral weight modular forms and the Bruinier-Kohnen Conjecture
Ilker Inam, Zeynep Demirkol Özkaya, Elif Tercan +1
This work represents a systematic computational study of the distribution of the Fourier coefficients of cuspidal Hecke eigenforms of level and half-integral weights. Base…
Fast computation of half-integral weight modular forms
Ilker Inam, Gabor Wiese
To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, w…
A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halász' Theorem
Ilker Inam, Gabor Wiese
In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by usi…
On conjectures of Sato-Tate and Bruinier-Kohnen
Sara Arias-de-Reyna, Ilker Inam, Gabor Wiese
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It ext…
Equidistribution of Signs for Modular Eigenforms of Half Integral Weight
Ilker Inam, Gabor Wiese
Let f be a cusp form of weight k+1/2 and at most quadratic nebentype character whose Fourier coefficients a(n) are all real. We study an equidistribution conjecture of Bruinier and…