Articles

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

   • Abhik Ganguli
   • Suneel Kumar

   Research 15 May 2024 Article: 52

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

   • Sebastian Heintze
   • Volker Ziegler

   Research Open access 13 May 2024 Article: 51

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

   • Henrik Bachmann

   Research 07 May 2024 Article: 50

4. On the quasi-periodic Schneider continued fractions

   • B. Ammous
   • N. Ben Mahmoud

   Research 04 May 2024 Article: 49

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

   • Maleeha Khawaja

   Research Open access 25 April 2024 Article: 48

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

   • Anup Haldar

   Research 23 April 2024 Article: 47

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

   • Krystian Gajdzica

   Research Open access 21 April 2024 Article: 46

   

8. 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

9. Diophantine triples with three parameters

   • Mihai Cipu
   • Yasutsugu Fujita
   • Maurice Mignotte

   Research 14 April 2024 Article: 44

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

    • Henry H. Kim

    Research 13 April 2024 Article: 43

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

    • Maarten Derickx
    • Petar Orlić

    Research 08 April 2024 Article: 42

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

    • Masato Kobayashi

    Research 06 April 2024 Article: 41

13. Bianchi period polynomials: Hecke action and congruences

    • Lewis Combes

    Research Open access 05 April 2024 Article: 40

    

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

    • Sarah Frei
    • Lena Ji

    Research 05 April 2024 Article: 39

    

15. Group ring valued Hilbert modular forms

    • Jesse Silliman

    Research 03 April 2024 Article: 38

    

16. 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

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

    • Takafumi Miyazaki
    • István Pink

    Research 01 April 2024 Article: 36

    

18. 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

    

19. Degrees of some orthogonal Deligne–Lusztig varieties

    • Yuta Nakayama

    Research 26 March 2024 Article: 34

20. Deep hole lattices and isogenies of elliptic curves

    • Lenny Fukshansky
    • Pavel Guerzhoy
    • Tanis Nielsen

    Research 25 March 2024 Article: 33

    

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

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

    Research 25 March 2024 Article: 32

22. The modularity of Siegel’s zeta functions

    • Kazunari Sugiyama

    Research Open access 22 March 2024 Article: 31

23. 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

24. Effective estimates for traces of singular moduli

    • Oscar E. González
    • Qihang Sun

    Research 16 March 2024 Article: 29

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

    • Bence Borda
    • Marc Munsch
    • Igor E. Shparlinski

    Research 15 March 2024 Article: 28

26. On the distribution of index of Farey sequences

    • Bittu Chahal
    • Sneha Chaubey
    • Shivani Goel

    Research 12 March 2024 Article: 27

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

    • Anwita Bhowmik
    • Rupam Barman

    Research 08 March 2024 Article: 26

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

    • Takuya Miyazaki
    • Yohei Saito

    Research 07 March 2024 Article: 25

29. Pair correlations of logarithms of complex lattice points

    • Jouni Parkkonen
    • Frédéric Paulin

    Research Open access 07 March 2024 Article: 24

    

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

    • Yuka Yamaguchi
    • Naoya Yamaguchi

    Research 06 March 2024 Article: 23

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

    • Amir Akbary
    • Milad Fakhari

    Research 04 March 2024 Article: 22

    

32. Counting Drinfeld modules with prescribed local conditions

    • Tristan Phillips

    Research 13 February 2024 Article: 21

33. Vanishing of quartic and sextic twists of L-functions

    • Jennifer Berg
    • Nathan C. Ryan
    • Matthew P. Young

    Research Open access 01 February 2024 Article: 20

    

34. The equidistribution of elliptic Dedekind sums and generalized Selberg–Kloosterman sums

    • Kim Klinger-Logan
    • Tian An Wong

    Research 31 January 2024 Article: 19

35. A note on non-periodic greedy expansions in Salem base

    • Eiji Miyanohara

    Research 29 January 2024 Article: 18

36. Greatest common divisor results on semiabelian varieties and a conjecture of Silverman

    • Fabrizio Barroero
    • Laura Capuano
    • Amos Turchet

    Research Open access 23 January 2024 Article: 17

37. Egyptian fractions of bounded length

    • Noah Lebowitz-Lockard

    Research 22 January 2024 Article: 16

38. Generalized Glaisher-Kinkelin constants and Ramanujan summation of series

    • Marc-Antoine Coppo

    Research 21 January 2024 Article: 15

39. Rubin–Stark units and the class number

    • Saad El Boukhari
    • Youness Mazigh

    Research 19 January 2024 Article: 14

40. On compatibility in restriction of Arthur’s conjecture for R-groups

    • Kwangho Choiy

    Research 18 January 2024 Article: 13

41. The Generalized Riemann Hypothesis from zeros of the zeta function

    • William Banks

    Research 18 January 2024 Article: 12

42. Explicit zero-free regions for the Riemann zeta-function

    • Michael J. Mossinghoff
    • Timothy S. Trudgian
    • Andrew Yang

    Research Open access 12 January 2024 Article: 11

    

43. Distribution of Andrews’ singular overpartitions \({\overline{C}}_{p,1}(n)\)

    • Chiranjit Ray

    Research 04 January 2024 Article: 10

44. Congruences and integral roots of D’Arcais polynomials

    • S. Sriram
    • A. David Christopher

    Research 29 December 2023 Article: 9

45. Automorphic products that are singular modulo primes

    • Haowu Wang
    • Brandon Williams

    Research Open access 20 December 2023 Article: 8

46. Correction: Convergence conditions for p-adic continued fractions

    • Nadir Murru
    • Giuliano Romeo
    • Giordano Santilli

    Correction Open access 20 December 2023 Article: 7

47. Log concavity for unimodal sequences

    • Walter Bridges
    • Kathrin Bringmann

    Research Open access 19 December 2023 Article: 6

48. Odd degree isolated points on \(X_1(N)\) with rational j-invariant

    • Abbey Bourdon
    • David R. Gill
    • Lori D. Watson

    Research 17 December 2023 Article: 5

49. Eisenstein series, p-adic modular functions, and overconvergence, II

    • Ian Kiming
    • Nadim Rustom

    Research Open access 13 December 2023 Article: 4

    

50. Curious congruences for cyclotomic polynomials II

    • Toshiki Matsusaka
    • Genki Shibukawa

    Research 13 December 2023 Article: 3