Ramanujan Journal

Article	Citations
On supercongruences for truncated sums of squares of basic hypergeometric series	21
Coefficient estimates for a certain family of analytic functions involving a q-derivative operator	15
On the total number of parts functions associated with ranks of partitions modulo 5 and 7	12
Inequalities for the overpartition function	11
Weighted partition rank and crank moments II. Odd-order moments	10
Robin’s criterion on divisibility	8
Hyperelliptic parametrizations of $$\pmb {\mathbb {Q}}$$-curves	7
Goldbach–Linnik type problems on cubes of primes	7
The Burgess bound via a trivial delta method	7
Asymptotics of Nahm sums at roots of unity	7
New infinite q-product expansions with vanishing coefficients	7
Lacunary eta-quotients modulo powers of primes	7
Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds	7
On the zeros of certain composite polynomials and an operator preserving inequalities	7
On a Tauberian theorem of Ingham and Euler–Maclaurin summation	7
Further q-analogues of the (G.2) supercongruence of Van Hamme	7
Some exceptional sets of Borel–Bernstein theorem in continued fractions	6
On minimal complements in groups	6
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	6
Congruences for the coefficients of the Gordon and McIntosh mock theta function $$\xi (q)$$	6
On the divisibility of q-trinomial coefficients	6
Proofs of some partition identities conjectured by Kanade and Russell	6
Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions	6
A generalization of Arai–Carlitz’s identity	6
Integer circulant determinants of order 16	5

Zeros of polynomials with four-term recurrence and linear coefficients	5
On the divisibility of class numbers of imaginary quadratic fields ($$ {\mathbb {Q}}(\sqrt{D}), {\mathbb {Q}}(\sqrt{D+m})$$)	5
Asymptotics for the Taylor coefficients of certain infinite products	5
An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures	5
1-Shell totally symmetric plane partitions (TSPPs) modulo powers of 5	5
Sets of values of equivalent almost periodic functions	5
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	5
Vanishing coefficients and identities concerning Ramanujan’s parameters	5
A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series	5
A note on an inequality of Paul Turán concerning polynomials	5
On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$	5
An exact formula for a Lambert series associated to a cusp form and the Möbius function	5
On two double series for $$\pi $$ and their q-analogues	4
Some double-angle formulas related to a generalized lemniscate function	4
The first moment of Maaß form symmetric square L-functions	4
New application of the Cauchy operator on the homogeneous Rogers–Szegö polynomials	4
Geometric and monotonic properties of Ramanujan type entire functions	4
Proof of two conjectures of Guo and Schlosser	4
Positivity and divisibility of enumerators of alternating descents	4
Proof of some conjectural supercongruences of Guo and Schlosser	4
On small sets of integers	4
Certain transformations and special values of hypergeometric functions over finite fields	4
On a binary Diophantine inequality involving prime numbers	4
The sum of divisors function and the Riemann hypothesis	4
Linear inequalities concerning partitions into distinct parts	4
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	4
Two explicit divisor sums	4
Polygonal numbers and Rogers–Ramanujan–Gordon theorem	4
Results on vanishing coefficients in infinite q-series expansions for certain arithmetic progressions mod 7	4
Simultaneous indivisibility of class numbers of pairs of real quadratic fields	3
Results on vanishing coefficients in certain infinite q-series expansions	3
Truncated Hecke–Rogers type series—part II	3
An analog of the Dougall formula and of the de Branges–Wilson integral	3
The Ramanujan sum and Chebotarev densities	3
Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two	3
The Mahler measure of a genus 3 family	3
Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions	3
Euler products of Selberg zeta functions in the critical strip	3
$$H_q$$-Semiclassical orthogonal polynomials via polynomial mappings	3
On k-partitions of multisets with equal sums	3
Linear combinations of prime powers in X-coordinates of Pell equations	3
Trigonometric sums through Ramanujan’s theory of theta functions	3
Atkin–Lehner theory for Drinfeld modular forms and applications	3
Positive alternating sums of integer partitions	3
Sequences in overpartitions	3
Tight upper and lower bounds for the reciprocal sum of Proth primes	3
Some q-supercongruences from Gasper’s Karlsson–Minton type summation	3
The rational Heun operator and Wilson biorthogonal functions	3
A further look at cubic partitions	3
Hyperbolic summation for functions of the GCD and LCM of several integers	3

An asymptotic series for an integral	3
On an average ternary problem with prime powers	3
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences	3
On 5- and 10-dissections for some infinite products	3
Discrete Kontorovich–Lebedev transforms	3
Correction to: Moyennes effectives de fonctions multiplicatives complexes	3
Another generalization of Euler’s arithmetic function and Menon’s identity	3
Exact expansions of Hankel transforms and related integrals	3
Averages of coefficients of a class of degree 3 L-functions	3
Counting self-conjugate $$(s,s+1,s+2)$$-core partitions	3
Growth properties of the q-Dunkl transform in the space $$L^{p}_{q,\alpha }({\mathbb {R}}_{q},|x|^{2\alpha +1}d_{q}x)$$	3
Klingen $${\mathfrak {p}}^2$$ vectors for $$\mathrm{GSp}(4)$$	2
The modular differential equation for skew-holomorphic Jacobi forms	2
Symplectic Kloosterman sums and Poincaré series	2
Sequentially congruent partitions and partitions into squares	2
The divisor function on residue classes III	2
Matching coefficients in the series expansions of certain q-products and their reciprocals	2
Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications	2
A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions	2
$${\mathbb {Q}}$$-linear dependence of certain Bessel moments	2
An additive problem over Piatetski–Shapiro primes and almost-primes	2
Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials	2
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry	2
Effective estimation of some oscillatory integrals related to infinitely divisible distributions	2
Self-conjugate $$(s,s+d,\dots ,s+pd)$$-core partitions and free Motzkin paths	2
On p-adic valuations of certain m colored p-ary partition functions	2
Turán inequalities for the broken k-diamond partition functions	2
Properties of the Appell–Lerch function (I)	2
On variants of symmetric multiple zeta-star values and the cyclic sum formula	2
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities	2
Ranks, cranks for overpartitions and Appell–Lerch sums	2
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions	2
Integer group determinants for $$\text {C}_{2}^{4}$$	2
On primes and practical numbers	2
Maass relations for Saito–Kurokawa lifts of higher levels	2
The first simultaneous sign change for Fourier coefficients of Hecke–Maass forms	2
Absolutely convergent q-Dunkl integrals and classical function spaces	2
Crossed out modular equations of degree 11 of Ramanujan	2
Infinite series identities derived from the very well-poised $$\Omega $$-sum	2
Asymptotic distribution of the partition crank	2
Modularity of Galois traces of ray class invariants	2
A new extension of the (H.2) supercongruence of Van Hamme for primes $$p\equiv 3\pmod {4}$$	2
Projections of modular forms on Eisenstein series and its application to Siegel’s formula	2
Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind	2
Visible lattice points along curves	2
Coxeter group actions and limits of hypergeometric series	2
Computable structural formulas for the distribution of the $$\beta $$-Jacobi edge eigenvalues	2
An efficient determination of the coefficients in the Chudnovskys’ series for 1/$$\pi $$	2
Even–odd partition identities of Rogers–Ramanujan type	2
A Menon-type identity with Dirichlet characters in residually finite Dedekind domains	2
On the Waring–Goldbach problem for squares, cubes and higher powers	2
Spectral density functions of bivariable stable polynomials	2
Proofs of some conjectures on the reciprocals of the Ramanujan–Gordon identities	2
Some identities on Beck’s partition statistics	2
Almost 3-regular overpartitions	2
Arithmetic properties for Appell–Lerch sums	2
Note on a theorem of Farkas and Kra	2
On the convolutions of sums of multiple zeta(-star) values of height one	2
Asymptotics of Chebyshev polynomials, V. residual polynomials	2
Algebraicity of critical values of adjoint L-functions for $$\mathrm{GSp}_4$$	2
A continuity of cycle integrals of modular functions	2
Multivariate holomorphic Hermite polynomials	2
A $$\mathrm {GL}_3$$ analog of Selberg’s result on S(t)	2
Expansions over Legendre polynomials and infinite double series identities	2
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	2
The Prouhet–Tarry–Escott problem, indecomposability of polynomials and Diophantine equations	2
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$	2
Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant $$\theta _3$$	2
Divisibility of certain $$\ell $$-regular partitions by 2	2
$$\Gamma $$-evaluations of hypergeometric series	2
A note on additive twists, reciprocity laws and quantum modular forms	2
Remarks on a paper by El-Guindy and Papanikolas	1
Counting multiplicative approximations	1
The integral moments and ratios of quadratic Dirichlet L-functions over monic irreducible polynomials in $$\mathbb {F}_{q}[T]$$	1
On modular equations of degree 25	1
Combinatorial proofs and refinements of three partition theorems of Andrews	1
Menon-type identities with respect to sets of units	1
Semi-invariants of binary forms and Sylvester’s theorem	1
On the combinatorics of the number of even parts in all partitions with distinct parts	1
Diophantine approximation with mixed powers of primes	1

Combinatorics of periodic ellipsoidal billiards	1
Multiple zeta star values on 3–2–1 indices	1
Modular relations for the Rogers–Ramanujan functions with applications to partitions	1
Note on Halphen’s system	1
The partition-frequency enumeration matrix	1
Asymptotics for Bailey-type mock theta functions	1
Congruences for a class of eta-quotients and their applications	1
Spectral exponential sums on hyperbolic surfaces	1
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	1
Some results on divisor problems related to cusp forms	1
The log-balancedness of generalized derangement numbers	1
Highly composite numbers and the Riemann hypothesis	1
Congruence relations satisfied by quaternionic modular forms	1
An exponential sum involving Fourier coefficients of eigenforms for $$SL(2,\pmb {{\mathbb {Z}}})$$	1
Multiplicative functions supported on the k-free integers with small partial sums	1
Integral representation and computational properties of the incomplete Fox–Wright function	1
Combinatorics of orthogonal polynomials of type $$R_I$$	1
Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms	1
Generalized-hypergeometric solutions of the biconfluent Heun equation	1
Automorphic Schwarzian equations and integrals of weight 2 forms	1
Fields of small class number in the family $$\mathbb {Q}(\sqrt{9m^2+4m})$$	1
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series	1
The three missing terms in Ramanujan’s septic theta function identity	1
On a divisor of the central binomial coefficient	1
Growth of torsion groups of elliptic curves upon base change from number fields	1
New proofs of some double sum Rogers–Ramanujan type identities	1
Generalizations of the truncated pentagonal number theorem results	1
Some remarks on Kida’s formula when $$\mu \ne 0$$	1
On 3-divisibility of 9- and 27-regular partitions	1
Sign changes in the prime number theorem	1
On the p-ranks of the ideal class groups of imaginary quadratic fields	1
The r-Stirling numbers of the first kind in terms of the Möbius function	1
Eisenstein series and an asymptotic for the K-Bessel function	1
Shift-plethystic trees and Rogers–Ramanujan identities	1
Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves	1
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	1
Generalizations of Alladi’s formula for arithmetical semigroups	1
On the infinite Borwein product raised to a positive real power	1
Uniqueness of Fourier coefficients of eigenforms	1
On the proportion of squarefree numbers among sums of cubic polynomials	1
Additive functions in short intervals, gaps and a conjecture of Erdős	1
Average of Dirichlet coefficients of cuspidal representations related to GL(2)	1
Ideal class groups of imaginary quadratic fields	1
Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions	1
On a generalization of Menon–Sury identity to number fields involving a Dirichlet character	1
On locally primitively universal quadratic forms	1
Fixed points and matching points in partitions	1
Symmetries of certain double integrals related to Hall effect devices	1
Determining an L-function in the extended Selberg class by its preimages of subsets	1
Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation	1
Ramanujan-like formulae for $$\pi $$ and $$1/\pi $$ via Gould–Hsu inverse series relations	1
q-Pearson pair and moments in q-deformed ensembles	1
Minimal additive complements in finitely generated abelian groups	1
An explicit Waldspurger formula for Hilbert modular forms II	1
Primality tests, linear recurrent sequences and the Pell equation	1
On class numbers of pure quartic fields	1
Moments of orthogonal polynomials and exponential generating functions	1
Fine Selmer groups and ideal class groups	1
Simultaneous core partitions with nontrivial common divisor	1
Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg’s overpartition theorems	1
On hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$	1
Farkas’ identities with quartic characters	1
On a ternary Diophantine equation involving fractional powers with prime variables of a special form	1
Ramanujan-type $$1/\pi $$-series from bimodular forms	1
On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials	1
On primitive elements of algebraic function fields and models of $$X_0(N)$$	1
On a sum involving certain arithmetic functions and the integral part function	1
Log-convexity and the overpartition function	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Utility of integral representations for basic hypergeometric functions and orthogonal polynomials	1
On the use of Montgomery multiplication in the computation of binary BBP-type formulas for mathematical constants	1
Rational points on algebraic curves in infinite towers of number fields	1
Elementary proofs of infinite families of congruences for Merca’s cubic partitions	1
A deformation of multiple L-values	1
On the Fourier coefficients of certain Hilbert modular forms	1
The average size of Ramanujan sums over quadratic number fields	1
Transcendency of some constants related to integer sequences of polynomial iterations	1
Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions	1
Completions and algebraic formulas for the coefficients of Ramanujan’s mock theta functions	1
An Erdős–Fuchs theorem for ordered representation functions	1
Acyclotomy of torsion in the CM case	1
A new approach to hypergeometric transformation formulas	1
L-functions of twisted exponential sums over finite fields	1
Congruence properties of coefficients of the eighth-order mock theta function $$V_0(q)$$	1
Powers in arithmetic progressions	1
An inequality for the modified Selberg zeta-function	1
Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions	1
Ramanujan’s Master Theorem and two formulas for the zero-order Hankel transform	1
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism	1
On L-functions of modular elliptic curves and certain K3 surfaces	1
On sums of coefficients of polynomials related to the Borwein conjectures	1
Factorizations of bivariate Taylor series via inverse power products	1
Some tridiagonal determinants	1
New inequalities for p(n) and $$\log p(n)$$	1
On Y-coordinates of Pell equations which are Lucas numbers	1