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20102026
most citedSlant helices in three dimensional lie groups

51 citations

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math.NT2026

On a Diophantine Equation with Jacobsthal and Fibonacci Numbers

Daeyeoul Kim, Zekiye Pinar Cihan, Zeynep Demirkol Ozkaya +1

In the present paper, we identify all Jacobsthal numbers that may be expressed as a product of three Fibonacci numbers. More precisely, our main result shows that the only solution…

math.NT2026

Inverses of Fibonacci and Lucas Numbers via Rational Indices

Zekiye Pinar Cihan, Ilker Inam

Fibonacci and Lucas numbers have been extensively studied in various algebraic and number-theoretic contexts, including their modular inverses and generalizations. Motivated by the…

math.NT2022★ 4 cited

A Short Note on the Pell-Lucas-Eisenstein Series

Mine Uysal, Ilker Inam, Engin Ozkan

In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. Firstly, we show that the Pell-Lucas-Eisens…

math.NT2020★ 3 cited

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…

math.NT2020★ 3 cited

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…

math.NT2014★ 10 cited

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…