Online first articles

Articles not assigned to an issue 142 articles

1. Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes

   Authors

   • Anthony Doyon
   • Antonio Lei

   • Content type: OriginalPaper
   • Published: 03 March 2021

2. Some double-angle formulas related to a generalized lemniscate function

   Authors

   • Shingo Takeuchi

   • Content type: OriginalPaper
   • Open Access
   • Published: 02 March 2021

3. Factorizations of bivariate Taylor series via inverse power products

   Authors

   • Mohamed Elewoday
   • Harry Gingold
   • Jocelyn Quaintance

   • Content type: OriginalPaper
   • Published: 02 March 2021

   

4. Sign changes in the prime number theorem

   Authors

   • Thomas Morrill
   • Dave Platt
   • Tim Trudgian

   • Content type: OriginalPaper
   • Published: 01 March 2021

5. Theta series and number fields: theorems and experiments

   Authors

   • Adrian Barquero-Sanchez
   • Guillermo Mantilla-Soler
   • Nathan C. Ryan

   • Content type: OriginalPaper
   • Published: 01 March 2021

6. Some remarks on Kida’s formula when \(\mu \ne 0\)

   Authors

   • Meng Fai Lim

   • Content type: OriginalPaper
   • Published: 01 March 2021

7. The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series

   Authors

   • Bo-Hae Im
   • Wonwoong Lee

   • Content type: OriginalPaper
   • Published: 27 February 2021

8. On two supercongruences of truncated hypergeometric series \({}_{4}F_{3}\)

   Authors

   • Guo-Shuai Mao
   • Chen-Wei Wen

   • Content type: OriginalPaper
   • Published: 27 February 2021

9. Tate \(\gamma \)-factor, Weil index, and the metaplectic \(\widetilde{\gamma }\) -factor

   Authors

   • Dani Szpruch

   • Content type: OriginalPaper
   • Published: 26 February 2021

10. On the Fourier coefficients of certain Hilbert modular forms

    Authors

    • Rishabh Agnihotri
    • Kalyan Chakraborty

    • Content type: OriginalPaper
    • Published: 26 February 2021

11. Class invariants by Siegel resolvents and the modularity of their Galois traces

    Authors

    • Ho Yun Jung
    • Yoonjin Lee

    • Content type: OriginalPaper
    • Published: 26 February 2021

12. Approximation by generalized shifts of the Riemann zeta-function in short intervals

    Authors

    • Antanas Laurinčikas

    • Content type: OriginalPaper
    • Published: 26 February 2021

13. Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions

    Authors

    • Robert Dougherty-Bliss
    • Doron Zeilberger

    • Content type: OriginalPaper
    • Published: 24 February 2021

14. Ramanujan-like formulae for \(\pi \) and \(1/\pi \) via Gould–Hsu inverse series relations

    Authors

    • Wenchang Chu

    • Content type: OriginalPaper
    • Published: 22 February 2021

    

15. On sum of prime factors of composite positive integers

    Authors

    • Yuchen Ding
    • Xiaodong Lü

    • Content type: OriginalPaper
    • Published: 22 February 2021

16. Automorphic Schwarzian equations and integrals of weight 2 forms

    Authors

    • Hicham Saber
    • Abdellah Sebbar

    • Content type: OriginalPaper
    • Published: 20 February 2021

17. On the combinatorics of the number of even parts in all partitions with distinct parts

    Authors

    • Runqiao Li
    • Andrew Y. Z. Wang

    • Content type: OriginalPaper
    • Published: 18 February 2021

18. Trigonometric sums through Ramanujan’s theory of theta functions

    Authors

    • K. N. Harshitha
    • K. R. Vasuki
    • M. V. Yathirajsharma

    • Content type: OriginalPaper
    • Published: 18 February 2021

19. On sums of coefficients of polynomials related to the Borwein conjectures

    Authors

    • Ankush Goswami
    • Venkata Raghu Tej Pantangi

    • Content type: OriginalPaper
    • Open Access
    • Published: 18 February 2021

20. Average of Dirichlet coefficients of cuspidal representations related to GL(2)

    Authors

    • Liyang Yang

    • Content type: OriginalPaper
    • Published: 18 February 2021

21. A note on Diophantine approximation with prime variables and mixed powers

    Authors

    • Huafeng Liu

    • Content type: OriginalPaper
    • Published: 17 February 2021

22. Another generalization of Euler’s arithmetic function and Menon’s identity

    Authors

    • László Tóth

    • Content type: OriginalPaper
    • Open Access
    • Published: 16 February 2021

23. Combinatorics of periodic ellipsoidal billiards

    Authors

    • George E. Andrews
    • Vladimir Dragović
    • Milena Radnović

    • Content type: OriginalPaper
    • Published: 16 February 2021

24. On primes and practical numbers

    Authors

    • Carl Pomerance
    • Andreas Weingartner

    • Content type: OriginalPaper
    • Published: 15 February 2021

25. The asymptotic number of weighted partitions with a given number of parts

    Authors

    • Dudley Stark

    • Content type: OriginalPaper
    • Open Access
    • Published: 15 February 2021

26. Effective estimation of some oscillatory integrals related to infinitely divisible distributions

    Authors

    • S. Bettin
    • S. Drappeau

    • Content type: OriginalPaper
    • Published: 15 February 2021

27. Diophantine approximation with smooth numbers

    Authors

    • Roger Baker

    • Content type: OriginalPaper
    • Published: 14 February 2021

28. Weighted partition rank and crank moments II. Odd-order moments

    Authors

    • Shane Chern

    • Content type: OriginalPaper
    • Published: 13 February 2021

29. The average size of Ramanujan sums over quadratic number fields

    Authors

    • Wenguang Zhai

    • Content type: OriginalPaper
    • Published: 13 February 2021

30. On the vanishing of coefficients of the powers of a theta function

    Authors

    • Jacques Sauloy
    • Changgui Zhang

    • Content type: OriginalPaper
    • Published: 13 February 2021

31. Generalizations of Jacobsthal sums and hypergeometric series over finite fields

    Authors

    • Pramod Kumar Kewat
    • Ram Kumar

    • Content type: OriginalPaper
    • Published: 13 February 2021

32. Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike

    Authors

    • Peter J. Grabner

    • Content type: OriginalPaper
    • Published: 11 February 2021

33. Ramanujan’s function k, revisited

    Authors

    • Dongxi Ye

    • Content type: OriginalPaper
    • Published: 11 February 2021

34. An efficient determination of the coefficients in the Chudnovskys’ series for 1/\(\pi \)

    Authors

    • Lorenz Milla

    • Content type: OriginalPaper
    • Published: 10 February 2021

35. A new extension of the (H.2) supercongruence of Van Hamme for primes \(p\equiv 3\pmod {4}\)

    Authors

    • Victor J. W. Guo

    • Content type: OriginalPaper
    • Published: 10 February 2021

36. On variants of symmetric multiple zeta-star values and the cyclic sum formula

    Authors

    • Minoru Hirose
    • Hideki Murahara
    • Masataka Ono

    • Content type: OriginalPaper
    • Published: 10 February 2021

37. Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms

    Authors

    • Wenzhi Luo

    • Content type: OriginalPaper
    • Published: 09 February 2021

38. Weighted Erdős–Kac theorem in short intervals

    Authors

    • Kui Liu
    • Jie Wu

    • Content type: OriginalPaper
    • Published: 09 February 2021

39. Sets of values of equivalent almost periodic functions

    Authors

    • J. M. Sepulcre
    • T. Vidal

    • Content type: OriginalPaper
    • Published: 09 February 2021

40. An exact formula for a Lambert series associated to a cusp form and the Möbius function

    Authors

    • Abhishek Juyal
    • Bibekananda Maji
    • Sumukha Sathyanarayana

    • Content type: OriginalPaper
    • Published: 09 February 2021

41. On small sets of integers

    Authors

    • Paolo Leonetti
    • Salvatore Tringali

    • Content type: ReviewPaper
    • Published: 09 February 2021

42. Estimates for Weyl sums in the theory of discrete universality

    Authors

    • Athanasios Sourmelidis

    • Content type: OriginalPaper
    • Published: 08 February 2021

43. The Kronecker theta function and a decomposition theorem for theta functions I

    Authors

    • Zhi-Guo Liu

    • Content type: OriginalPaper
    • Published: 08 February 2021

44. Primality tests, linear recurrent sequences and the Pell equation

    Authors (first, second and last of 4)

    • Danilo Bazzanella
    • Antonio Di Scala
    • Nadir Murru

    • Content type: OriginalPaper
    • Published: 07 February 2021

    

45. On the Waring–Goldbach problem for squares, cubes and higher powers

    Authors

    • Min Zhang
    • Jinjiang Li

    • Content type: OriginalPaper
    • Published: 06 February 2021

46. A formula for the number of partitions of n in terms of the partial Bell polynomials

    Authors

    • Sumit Kumar Jha

    • Content type: OriginalPaper
    • Published: 05 February 2021

47. Modular relations for the Rogers–Ramanujan functions with applications to partitions

    Authors

    • Nasser Abdo Saeed Bulkhali
    • Ranganatha Dasappa

    • Content type: OriginalPaper
    • Published: 05 February 2021

48. Inequalities for odd ranks of odd Durfee symbols

    Authors

    • Edward Y. S. Liu

    • Content type: ReviewPaper
    • Published: 05 February 2021

    

49. Coefficient estimates for a certain family of analytic functions involving a q-derivative operator

    Authors (first, second and last of 4)

    • Mohsan Raza
    • Hari Mohan Srivastava
    • Khurshid Ahmad

    • Content type: OriginalPaper
    • Published: 04 February 2021

50. On three identities of Ramanujan

    Authors

    • Nankun Hong

    • Content type: OriginalPaper
    • Published: 03 February 2021