Computational Number Theory

Latest research

1. Mathematician who reshaped number theory wins prestigious Abel prize

   • Davide Castelvecchi

   in Nature

   Article 19 March 2026

   

2. The Birch–Erdős theorem on exponential type sequences

   • Honghu Liu

   in Periodica Mathematica Hungarica

   Article 18 March 2026

3. A Practical Extension of Computational Complexity Theory for Applications in Mathematics and Sciences

   • Jingnan Xie
   • Ching-Sheng Lin
   • Richard E. Stearns

   in Theory of Computing Systems

   Article 17 March 2026

4. Applications of representation theory and of explicit units to Leopoldt’s conjecture

   • Fabio Ferri
   • Henri Johnston

   in Research in Number Theory

   Article Open access 17 March 2026

   

5. \(\mathfrak {b}\)-Hurwitz numbers from refined topological recursion

   • Nitin Kumar Chidambaram
   • Maciej Dołęga
   • Kento Osuga

   in Mathematische Annalen

   Article Open access 14 March 2026

   

6. A tight upper bound on the number of nonzero weights of a quasi-cyclic code

   • Xiaoxiao Li
   • Minjia Shi
   • San Ling

   in Designs, Codes and Cryptography

   Article 12 March 2026

7. A Binary Inequality with Prime and Square-Free Number

   • S. I. Dimitrov

   in Vestnik St. Petersburg University, Mathematics

   Article 12 March 2026

8. Congruence properties modulo prime powers for a class of partition functions

   • Matthew Boylan
   • Swati

   in Research in Number Theory

   Article Open access 11 March 2026

9. Computational wiretap coding: framework and practical construction

   • Mengjie Huang
   • Xianhui Lu
   • Dongchi Han

   in Cybersecurity

   Article Open access 11 March 2026

   

10. Improved integral cryptanalysis of block cipher Zodiac

    • Yi Guo
    • Danping Shi
    • Zhiru Chen

    in Cybersecurity

    Article Open access 05 March 2026

    

11. Constructing infinite families of number fields with given indices from sextinomials

    • Omar Kchit

    in Research in Number Theory

    Article 05 March 2026

    

12. Transcendental formulas for the coefficients of Ramanujan’s mock theta functions

    • Nickolas Andersen
    • Gradin Anderson

    in Research in Number Theory

    Article 05 March 2026

    

13. Small solutions to inhomogeneous and homogeneous quadratic congruences modulo prime powers

    • Stephan Baier
    • Arkaprava Bhandari
    • Anup Haldar

    in Research in Number Theory

    Article 04 March 2026

14. Quadratic points on modular curves \(X_0(N)\) for \(N\le 100\)

    • Filip Najman
    • Ivan Novak

    in Research in Number Theory

    Article 03 March 2026

    

15. On some congruences related to generalized central trinomial coefficients and harmonic numbers

    • Yassine Otmani
    • Hacène Belbachir

    in Boletín de la Sociedad Matemática Mexicana

    Article 02 March 2026

16. Essays in Analytic Number Theory

    • John Friedlander
    • Carl Pomerance
    • Michael Th. Rassias

    Book 2026

    

17. Normal bases of small height in Galois number fields

    • Lenny Fukshansky
    • Sehun Jeong

    in Research in Number Theory

    Article 27 February 2026

18. Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25

    • Tim Huber
    • James McLaughlin
    • Dongxi Ye

    in Research in Number Theory

    Article 27 February 2026

19. DDT theorem over k-free numbers in short intervals

    • Ruiyang Liu
    • Tingting Wen

    in Czechoslovak Mathematical Journal

    Article 27 February 2026

20. Some identities of the sums-of-tails type

    • Atul Dixit
    • Gaurav Kumar
    • Aviral Srivastava

    in The Ramanujan Journal

    Article 26 February 2026

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