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NCNTI25
National Conference on Number Theory and its Interactions

December 1-2, 2025
National Higher School of Mathematics, Sidi Abdellah, Algiers

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Program

Conference Schedule

Welcome to the conference. Here is the detailed schedule for both days.

📄 Book of Abstracts

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Day 1: December 1, 2025

  • 08:00-08:45
    Registrations
  • 08:45-09:00
    Opening ceremony
  • SESSION 1: 09:00-10:40
    Chair: Zelaci Hacen
    • 09:00-09:50
      On $q$-Analogues of Bernoulli Numbers and Polynomials Farhi Bakir
    • 09:50-10:40
      Representation theoretic spectrum of locally symmetric spaces Mehdi Salah
  • 10:40-11:10
    Coffee break
  • SESSION 2: 11:10-12:50
    Chair: Bayad Abdelmedjid
    • 11:10-11:30
      Zeta Functions Associated to Cohomologically Trivial Modules Over Finite Groups Guerboussa Yassine
    • 11:30-11:50
      On Inertia Groups in the Splitting Field of $X^{p^{n}}+aX^{s}+a$ Mokhtari Soufyane
    • 11:50-12:10
      A Bijection Between Arndt Compositions and Non-Decreasing Dyck Paths Bekkis Chaima
    • 12:10-12:30
      On the Linear Independence Measures Of Logarithms Of Rational Numbers Bouchelaghem Abderraouf
    • 12:30-12:50
      Congruence Properties for Combinatorial Triangle Coefficients Djadi Chahinaze
  • 12:50-14:10
    Lunch break
  • SESSION 3: 14:10-15:10
    Chair: Dil Ayhan
    • 14:10-14:30
      On the $a$-Points of the $k^{th}$ Derivative of an $L$-Function in the Selberg Class Mekkaoui Mohammed
    • 14:30-14:50
      LCD Codes over Galois Rings Rebaine Fatiha
    • 14:50-15:10
      Fibonacci-like Tilings and Partitions Fegas Syrine
  • SESSION 4: 15:10-16:30
    Chair: Benmezai Abdelhamid
    • 15:10-15:30
      On $D(1)$-Extension of a $D(-1)$-Triple Involving Fibonacci Numbers With Application Miloudi Youssra
    • 15:30-15:50
      A New Perspective on Bicomplex Number System Ait-Amrane N. Rosa
    • 15:50-16:10
      A Hybrid DNA-Chaotic Cryptosystem Using Logistic Map, Rabin Key Exchange, and Feistel Diffusion Benatmane Sara
    • 16:10-16:30
      Some Results Concerning the Exponential Diophantine Equation $a^{x}+b^{y}=z^{2}$ Himane Djamel

Day 2: December 2, 2025

  • SESSION 5: 08:00-10:30
    Chair: Bouyakoub Abdelkader
    • 08:00-08:50
      Moduli Spaces of $\Gamma$-invariant Vector Bundles Zelaci Hacen
    • 08:50-09:40
      Results and problems on Dedekind sums Bayad Abdelmejid
    • 09:40-10:30
      Finite Sums Involving $r$-Stirling Numbers via Transformation Formulas Dil Ayhan
  • 10:30-11:00
    Coffee break
  • SESSION 6: 11:00-12:40
    Chair: Bakir Farhi
    • 11:00-11:20
      Diophantine Approximations Attacks on RSA: Results and Generalizations Bahidj Nafaa and Tiffrent Chouaib
    • 11:20-11:40
      On Dedekind Eta Quotients Connecting to Eisenstein Series, and Ramanujan-type Identities Atmani Sofiane Abdelhamid
    • 11:40-12:00
      The Behavior of the Connected Domination Number in Graphs Nadji Mohammed Lamine
    • 12:00-12:20
      On the Existence of a $D(4)$ Diophantine Quadruple Involving Fibonacci Numbers Briedj Yacine
    • 12:20-12:40
      On the Infinite Intersection Property of Groups Zitouni Amel
  • 12:40-14:10
    Lunch break
  • SESSION 7: 14:10-15:10
    Chair: Zaimi Toufik
    • 14:10-14:30
      A Study of a Diophantine Equation Involving Almost-Repdigits and Generalized Pell Sequences Seffah Safia
    • 14:30-14:50
      Some Arithmetic Properties of Bernoulli Numbers of Higher Order Khattou Chouaib
    • 14:50-15:10
      Ordinal Sum Constructions on Non-associative Algebraic Structures Mehenni Abdelkrim
  • SESSION 8: 15:10-16:30
    Chair: Djemmada Yahia
    • 15:10-15:30
      On Carlitz Multipermutations Nadjemi Halima
    • 15:30-15:50
      Some Results on Discrete Valuation Rings Bahri Boubakeur
    • 15:50-16:10
      The Intersection Between $(l,m)$-Antipalindromic Numbers and Generalized Fibonacci Numbers Brahmi Adel
    • 16:10-16:30
      Algebraic Boolean Equations Yettou Mourad
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