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RAIRO - Theoretical Informatics and Applications

Diophantine Analysis and Related Topics (DART2025Z)

Takao Komatsu, Florian Luca and Guangshi Lv (Guest Editors)

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Editorial

Preface

Takao Komatsu, Florian Luca and Guangshi Lü

Published online: 25 February 2026

DOI: https://doi.org/10.1051/ita/2026008

Open Access

A system of two Diophantine inequalities with primes

Yanjun Dong and Qian Wang

Published online: 25 February 2026

DOI: https://doi.org/10.1051/ita/2026003

Open Access

A Diophantine inequality with one prime of the form p = m² + n² + 1

Yukun Liu and Jing Huang

Published online: 25 February 2026

DOI: https://doi.org/10.1051/ita/2026002

Open Access

2k-th power mean value of the generalized cubic Gauss sums

Ying Wei and Tianping Zhang

Published online: 25 February 2026

DOI: https://doi.org/10.1051/ita/2026001

Open Access

The k-fold divisor function over the intersection of Piatetski-Shapiro sequences

Victor Zhenyu Guo and Xuyan Wang

Published online: 09 March 2026

DOI: https://doi.org/10.1051/ita/2026006

Open Access

Fibonacci Determinants. III

Takao Komatsu and Emrah Kiliç

Published online: 17 March 2026

DOI: https://doi.org/10.1051/ita/2026007

Open Access

On the Numbers of Ramanujan

Mehmet Cenkci and Takao Komatsu

Published online: 17 March 2026

DOI: https://doi.org/10.1051/ita/2026010

Open Access

Diophantine approximation with two squares and three biquadrates of primes

Yu Fu, Liqun Hu, Siqi Liu and Li Yang

Published online: 31 March 2026

DOI: https://doi.org/10.1051/ita/2026013

Open Access

Goldbach–Linnik type problems with one prime square and six prime cubes

Xue Han

Published online: 28 April 2026

DOI: https://doi.org/10.1051/ita/2026015

Open Access

On generalized Fibonacci quaternion sequences with periodic coefficients: Applications

Rajae Ben Taher, Mehdi Lassri, Mustapha Rachidi and Fatih Yilmaz

Published online: 13 May 2026

DOI: https://doi.org/10.1051/ita/2026014

Open Access

A Note on Waring–Goldbach Problem: One Square, Four Cubes and One kth Power

Yuhui Liu

Published online: 29 May 2026

DOI: https://doi.org/10.1051/ita/2026016

Open Access

On Mersenne-Type Apostol–Bernoulli and Apostol–Euler polynomials

Artatrana Suna and Prasanta Kumar Ray

Published online: 04 June 2026

DOI: https://doi.org/10.1051/ita/2026017

Open Access

On hybrid moments of Δ₂(x) and Δ₁(x; φ)

Qian Wang and Jing Huang

Published online: 04 June 2026

DOI: https://doi.org/10.1051/ita/2026018

Open Access

Generalized hyperharmonic number sums with squared reciprocal binomial coefficients

Rusen Li

Published online: 04 June 2026

DOI: https://doi.org/10.1051/ita/2026019