Hajli, M. -«Sur la fonction Zêa associéeau Laplacien singulier \Delta_O(m)\infty. Journal of Number Theory (2013),
Hajli, M. -«Volume arithmétique de certains fibrés hermitiens sur une variété torique lisse Kyoto J. Math, (2014),
Hajli, M. -«Spectre du Laplacien singulier associé aux étriques canoniques sur la droite projective complexe et la théorie des séries de Fourier-Bessel généraliśee » Journal de Mathématiqu es Pures et appliquées. (2014).
Hajli, M. torsion analytique holomorphe généralisée des fibrés en droites integrabes » Comptes rendus de l’Académie des Sciences, (2014), (2014),
Hajli, M. -«On an arithmetic inequality on P1Q » International Journal of Number eory, (2014),
Hajli, M. -«On the invariant spectrum on the complex projective line. » Mathematihe Nachrichten (2015),
Hajli, M. -« Hauteurs canoniques des sous-variétés toriques» Journal of Number Theory , (2015),
Hajli, M. -« On the normalized arithmetic Hilbert function» Algebra and Number Theory, (2015),
Hajli, M. -« Growth of balls of holomorphic sections on projective toric varieties» International Journal of Mathematics (2016),
Hajli, M. -« On the arithmetic of translated monomial maps. » Funct. Approx. Comment. Math. (2018),
Hajli, M. -« The canonical spectrum of projective toric manifolds. » Internat. J. Math. (2018),
Hajli, M. -« A new formula for the Mahler measure.» Funct. Approx. Comment. Math. (2019),
Hajli, M. -« On the spectral zeta functions of the Laplacians on the projective complex spaces and on the n-spheres.» Journal Number Theory (2020),
Hajli, M. -« A generalized spectral theory for continuous metrics on compact Riemann surfaces.» J. Math. Anal. Appl. (2020),
Hajli, M. -« The spectral properties of a continuous family of zeta functions.» International Journal of Number Theory (2020),
Hajli, M. ; Bayad, A. -« On the multidimensional zeta functions associated with theta functions,and the multidimensional Appell polynomials» Mathematical Methods in the Applied Sciences (2019),
Hajli, M. -« On a formula for the regularized determinant of zeta functions with application to some Dirichlet series» Quarterly Journal of Mathematics (2020),
Hajli, M. -« Sur une inégalité fonctionnelle sur les espaces projectifs» Manuscripta Math. (2020),
Hajli, M. with S. Bouarroudj -« On the explicit formulas for zeta functions», Mathematical Methods in the Applied Sciences (2020).
Hajli, M, "Sur une inégalité fonctionnelle sur les espaces projectifs avec applications à la torsion analytique holomorphe". Manuscripta Math. (2021),
Hajli, M. "Explicit computations of some spectral invariants of compact symmetric spaces of rank one", Mathematical Methods in the Applied Sciences (2022).
Bayad, Abdelmejid; Hajli, Mounir, "The extended Eulerian numbers over function fields". Appl. Anal. Discrete Math. 16 (2022),
Hajli, M. ''The theta invariants and the volume function on arithmetic varieties''. Trans. Amer. Math. Soc. (2023),
Hajli, M. ''A new proof of some of Shintani's formulas'', Kyoto Journal of Mathematics, (2023),
Bayad, A.; Hajli, Mounir; ''On Jacobi forms and explicit evaluations of some trigonometric sums'', The Ramanujan Journal,, (2023),
Hajli, M., ''On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics'', Manuscripta Mathematica, (2023),
Hajli, M., "On the sum and the regularized products of some Dirichlet series", The Ramanujan Journal, (2024).
Hajli, M., "Toward a generalization of Lehmer’s problem to adelic curves, preprint", Accepted for publication, (2025),
Hajli, M., "Theta invariants and lattice-point counting in normed Z-modules", New York Journal of Mathematics, (2025).
Preprints and work in progress:
Hajli, M., The arithmetic volume of hypersurfaces in toric varieties and Mahler measures, preprint,
2023, 21 pages, arXiv:2206.14232.
Hajli, M., Mourtada, H., On distributive lattices in Hibi toric varieties and partition identities, work in progress,
2023, 20 pages.
3. Hajli, M., On singularities of twisted Eisenstein series and quantum modular forms, preprint, 2023, 20
pages.
4. Hajli, M., Mourtada, H., Zhu, W., On the geometry of punctual Hilbert schemes on singular curves
and their motivic zeta functions, preprint, 2025, 49 pages, arXiv:2509.06761.
5. Hajli, M., Regularized Products over arithmetic Schemes, preprint, 2025, 40 pages, arXiv:2511.09181.