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20072024
most citedLarge Fourier coefficients of half-integer weight modular forms

6 citations · 20 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2024

On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight

YoungJu Choie, Winfried Kohnen, Yichao Zhang

We generalize the linear relation formula between the square of normalized Hecke eigenforms of weight and normalized Hecke eigenforms of weight , to Rankin-Cohen brackets o…

math.NT2020★ 6 cited

Large Fourier coefficients of half-integer weight modular forms

S. Gun, W. Kohnen, K. Soundararajan

This article is concerned with the Fourier coefficients of cusp forms (not necessarily eigenforms) of half-integer weight lying in the plus space. We give a soft proof that there a…

math.NT2020

Simultaneous nonvanishing of the Products of L-functions associated to elliptic cusp forms

YoungJu Choie, Winfried Kohnen, Yichao Zhang

A generalized Riemann hypothesis states that all zeros of the completed Hecke -function of a normalized Hecke eigenform on the full modular group should lie on th…

math.NT2019

Interesting identities involving weighted representations of integers as sums of arbitrarily many squares

Min-Joo Jang, Ben Kane, Winfried Kohnen +1

In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural we…

math.NT2019

Values of L-Series of Hecke Eigenforms

Kamal Khuri-Makdisi, Winfried Kohnen, Wissam Raji

We determine a formula for the average values of L-series associated to eigenforms at complex values.

math.NT2019

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Sanoli Gun, Winfried Kohnen, Biplab Paul

Let and be Siegel cusp forms for $\Sp_4(\Z)$ and weights respectively. Also let and be Hecke eigenforms lying in distinct eigen spaces. Further suppose t…