1. Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series

   • Anthony Doyon
   • Antonio Lei

   Research 01 June 2024 Article: 53

2. On the local constancy of certain mod p Galois representations

   • Abhik Ganguli
   • Suneel Kumar

   Research 15 May 2024 Article: 52

3. On Pillai’s Problem involving Lucas sequences of the second kind

   • Sebastian Heintze
   • Volker Ziegler

   Research Open access 13 May 2024 Article: 51

4. Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series

   • Henrik Bachmann

   Research 07 May 2024 Article: 50

5. On the quasi-periodic Schneider continued fractions

   • B. Ammous
   • N. Ben Mahmoud

   Research 04 May 2024 Article: 49

6. Torsion primes for elliptic curves over degree 8 number fields

   • Maleeha Khawaja

   Research Open access 25 April 2024 Article: 48

7. Equidistribution of solutions of ternary quadratic congruences modulo prime powers

   • Anup Haldar

   Research 23 April 2024 Article: 47

8. The Turán and Laguerre inequalities for quasi-polynomial-like functions

   • Krystian Gajdzica

   Research Open access 21 April 2024 Article: 46

   

9. A bijection for tuples of commuting permutations and a log-concavity conjecture

   • Abdelmalek Abdesselam
   • Pedro Brunialti
   • Philip Velie

   Research Open access 17 April 2024 Article: 45

10. Diophantine triples with three parameters

    • Mihai Cipu
    • Yasutsugu Fujita
    • Maurice Mignotte

    Research 14 April 2024 Article: 44

11. Vertical Atkin-Serre conjecture and extremal primes in a family of L-functions

    • Henry H. Kim

    Research 13 April 2024 Article: 43

12. Modular curves \(X_0(N)\) with infinitely many quartic points

    • Maarten Derickx
    • Petar Orlić

    Research 08 April 2024 Article: 42

13. Ramanujan–Shen’s differential equations for Eisenstein series of level 2

    • Masato Kobayashi

    Research 06 April 2024 Article: 41

14. Bianchi period polynomials: Hecke action and congruences

    • Lewis Combes

    Research Open access 05 April 2024 Article: 40

    

15. A threefold violating a local-to-global principle for rationality

    • Sarah Frei
    • Lena Ji

    Research 05 April 2024 Article: 39

    

16. Group ring valued Hilbert modular forms

    • Jesse Silliman

    Research 03 April 2024 Article: 38

    

17. On the explicit Galois group of \(\mathbb {Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots , \sqrt{a_{n}}, \zeta _{d})\) over \(\mathbb {Q}\)

    • C. G. Karthick Babu
    • Anirban Mukhopadhyay
    • Sehra Sahu

    Research 02 April 2024 Article: 37

18. Number of solutions to a special type of unit equations in two unknowns, II

    • Takafumi Miyazaki
    • István Pink

    Research 01 April 2024 Article: 36

    

19. Torsion phenomena for zero-cycles on a product of curves over a number field

    • Evangelia Gazaki
    • Jonathan Love

    Research Open access 27 March 2024 Article: 35

    

20. Degrees of some orthogonal Deligne–Lusztig varieties

    • Yuta Nakayama

    Research 26 March 2024 Article: 34

21. Deep hole lattices and isogenies of elliptic curves

    • Lenny Fukshansky
    • Pavel Guerzhoy
    • Tanis Nielsen

    Research 25 March 2024 Article: 33

    

22. An analog of the Edwards model for Jacobians of genus 2 curves

    • E. V. Flynn
    • K. Khuri-Makdisi

    Research 25 March 2024 Article: 32

23. The modularity of Siegel’s zeta functions

    • Kazunari Sugiyama

    Research Open access 22 March 2024 Article: 31

24. Integers with a sum of co-divisors yielding a square

    • Jean-Marie De Koninck
    • A. Arthur Bonkli Razafindrasoanaivolala
    • Hans Schmidt Ramiliarimanana

    Research 21 March 2024 Article: 30

25. Effective estimates for traces of singular moduli

    • Oscar E. González
    • Qihang Sun

    Research 16 March 2024 Article: 29

26. Pointwise and correlation bounds on Dedekind sums over small subgroups

    • Bence Borda
    • Marc Munsch
    • Igor E. Shparlinski

    Research 15 March 2024 Article: 28

27. On the distribution of index of Farey sequences

    • Bittu Chahal
    • Sneha Chaubey
    • Shivani Goel

    Research 12 March 2024 Article: 27

28. Number of complete subgraphs of Peisert graphs and finite field hypergeometric functions

    • Anwita Bhowmik
    • Rupam Barman

    Research 08 March 2024 Article: 26

29. Theta lifts to certain cohomological representations of indefinite orthogonal groups

    • Takuya Miyazaki
    • Yohei Saito

    Research 07 March 2024 Article: 25

30. Pair correlations of logarithms of complex lattice points

    • Jouni Parkkonen
    • Frédéric Paulin

    Research Open access 07 March 2024 Article: 24

    

31. Integer group determinants for three of the non-abelian groups of order 16

    • Yuka Yamaguchi
    • Naoya Yamaguchi

    Research 06 March 2024 Article: 23

32. Constants for Artin-like problems in Kummer and division fields

    • Amir Akbary
    • Milad Fakhari

    Research 04 March 2024 Article: 22