Arithmetic properties and asymptotic formulae for \(\sigma _o\text {mex}(n)\) and \(\sigma _e\text {mex}(n)\) Rupam BarmanGurinder Singh OriginalPaper 24 June 2024
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces Mohammed Amin Amri OriginalPaper 23 June 2024
The density of the graph of elliptic Dedekind sums Stephen BartellAbby HalversonTian An Wong OriginalPaper 22 June 2024
Spectral moments of the real Ginibre ensemble Sung-Soo ByunPeter J. Forrester OriginalPaper Open access 21 June 2024
\(\mathbb {Z}_2\)-extension of real quadratic fields with \(\mathbb {Z}/2\mathbb {Z}\) as 2-class group at each layer H. LaxmiAnupam Saikia OriginalPaper 17 June 2024
On the solutions of \(x^2= By^p+Cz^p\) and \(2x^2= By^p+Cz^p\) over totally real fields Narasimha KumarSatyabrat Sahoo OriginalPaper 28 May 2024
On effective irrationality exponents of cubic irrationals Dzmitry Badziahin OriginalPaper Open access 28 May 2024
On matching and periodicity for \((N,\alpha )\)-expansions Cor KraaikampNiels Langeveld OriginalPaper Open access 27 May 2024
The average behaviour of Fourier coefficients of the Hecke–Maass form associated to k-free numbers Guodong Hua OriginalPaper 27 May 2024
On near orthogonality of certain k-vectors involving generalized Ramanujan sums Neha Elizabeth ThomasK. Vishnu Namboothiri OriginalPaper 24 May 2024
On a generalization of 5-dissections of some infinite q-products ChannabasavayyaGedela Kavya KeerthanaRanganatha Dasappa OriginalPaper 22 May 2024
Generalized Mahler measures of Laurent polynomials Subham Roy OriginalPaper 21 May 2024 Pages: 581 - 627
Arithmetic statistics for Galois deformation rings Anwesh RayTom Weston OriginalPaper 19 May 2024 Pages: 685 - 708
A combinatorial proof of q-log-concavity of q-Eulerian numbers Xinmiao LiuJiangxia HouFengxia Liu OriginalPaper 18 May 2024 Pages: 709 - 719
The divisibility of the class number of the imaginary quadratic fields \({\mathbb {Q}}(\sqrt{1-2m^k})\) S. KrishnamoorthyR. Muneeswaran OriginalPaper 16 May 2024 Pages: 991 - 1002
Figurate numbers, forms of mixed type, and their representation numbers B. RamakrishnanLalit Vaishya OriginalPaper 16 May 2024
q-Racah probability distribution Masahito HayashiAkihito HoraShintarou Yanagida OriginalPaper 07 May 2024 Pages: 963 - 990
Congruences for class numbers of \(\mathbb {Q}(\sqrt{\pm 2p})\) when \(p\equiv 3\) \((\text {mod }4)\) is prime Jigu KimYoshinori Mizuno OriginalPaper 06 May 2024
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials Tomoaki Nakaya OriginalPaper 04 May 2024 Pages: 1003 - 1039
Lie algebras of differential operators for matrix valued Laguerre type polynomials Andrea L. GalloPablo Román OriginalPaper 04 May 2024 Pages: 931 - 962
Summation formulas for a class of terminating \(_4\phi _3\)-series Xu YongWenlong Zhang OriginalPaper 04 May 2024 Pages: 915 - 930
Intersective polynomials along the irreducibles in function fields Guoquan Li OriginalPaper 04 May 2024
An asymptotic expansion for a Lambert series associated with Siegel cusp forms BabitaAbhash Kumar JhaBibekananda Maji OriginalPaper 04 May 2024
Cycle integrals of meromorphic modular forms and Siegel theta functions Markus Schwagenscheidt OriginalPaper Open access 03 May 2024 Pages: 765 - 777
Some determinantal representations of derangement numbers and polynomials Chak-On Chow OriginalPaper 03 May 2024
An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis Matteo BordignonValeriia Starichkova OriginalPaper 03 May 2024
Indefinite q-integrals from a method using q-Riccati equations Gamela E. HeragyZeinab S. I. MansourKarima M. Oraby OriginalPaper Open access 02 May 2024 Pages: 881 - 914
The Laguerre inequality and determinantal inequality for the broken k-diamond partition function Eve Y. Y. Yang OriginalPaper 25 April 2024 Pages: 857 - 880
Some Appell-type orthogonal polynomials on lattices D. MbounaA. Suzuki OriginalPaper 25 April 2024 Pages: 807 - 822
A family of algebraic curves and Appell series over finite fields Shaik AzharuddinGautam Kalita OriginalPaper 22 April 2024 Pages: 823 - 834
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials Hideki Matsumura OriginalPaper Open access 21 April 2024 Pages: 835 - 856
New evaluations for a certain number-theoretic error term Haihong FanWenguang Zhai OriginalPaper 20 April 2024 Pages: 779 - 806
Ramanujan’s taxicab number and its ilk Samuel S. Wagstaff Jr. OriginalPaper 20 April 2024 Pages: 761 - 764
Partitions into powers of an algebraic number Vítězslav KalaMikuláš Zindulka OriginalPaper 17 April 2024 Pages: 537 - 551
How to compute multivariate Bessel expansions Antonio J. DuránMario PérezJuan L. Varona OriginalPaper Open access 15 April 2024 Pages: 721 - 759
Trigonometric analogues of the identities associated with twisted sums of divisor functions Debika BanerjeeKhyati Khurana OriginalPaper 13 April 2024 Pages: 629 - 684
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups Will CavendishJacob Tsimerman OriginalPaper 10 April 2024 Pages: 343 - 353
Newform Eisenstein congruences of local origin Dan FretwellJenny Roberts OriginalPaper Open access 23 March 2024 Pages: 505 - 527
The Frobenius formula for \(A=(a,ha+d,ha+b_2d, \ldots ,ha+b_kd)\) Feihu LiuGuoce XinJingjing Yin OriginalPaper 23 March 2024 Pages: 489 - 504
Zeros of the combination of the Eisenstein series for \(\Gamma _0^+(2)\) SoYoung ChoiBo-Hae Im OriginalPaper 23 March 2024 Pages: 475 - 488
A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields Mohit MishraAnupam Saikia OriginalPaper 22 March 2024 Pages: 465 - 474