Ramanujan Journal

Article	Citations
Coefficient estimates for a certain family of analytic functions involving a q-derivative operator	17
On the total number of parts functions associated with ranks of partitions modulo 5 and 7	15
Weighted partition rank and crank moments II. Odd-order moments	12
Proofs of some partition identities conjectured by Kanade and Russell	11
Further q-analogues of the (G.2) supercongruence of Van Hamme	10
Some exceptional sets of Borel–Bernstein theorem in continued fractions	8
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	8
Robin’s criterion on divisibility	8
Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds	7
On a Tauberian theorem of Ingham and Euler–Maclaurin summation	7
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	7
Vanishing coefficients and identities concerning Ramanujan’s parameters	7
Integer circulant determinants of order 16	6
Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions	6
On two double series for $$\pi $$ and their q-analogues	6
An exact formula for a Lambert series associated to a cusp form and the Möbius function	6
Results on vanishing coefficients in infinite q-series expansions for certain arithmetic progressions mod 7	6
Results on vanishing coefficients in certain infinite q-series expansions	6
On the divisibility of q-trinomial coefficients	6
Congruences for the coefficients of the Gordon and McIntosh mock theta function $$\xi (q)$$	6
Sequences in overpartitions	6
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	6
Human and automated approaches for finite trigonometric sums	5
A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series	5
Turán inequalities for the broken k-diamond partition functions	5

Linear inequalities concerning partitions into distinct parts	5
Simultaneous indivisibility of class numbers of pairs of real quadratic fields	5
Sets of values of equivalent almost periodic functions	5
On 5- and 10-dissections for some infinite products	5
On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$	5
Trigonometric sums through Ramanujan’s theory of theta functions	5
A note on an inequality of Paul Turán concerning polynomials	5
Positivity and divisibility of enumerators of alternating descents	5
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions	5
Certain transformations and special values of hypergeometric functions over finite fields	4
Proof of two conjectures of Guo and Schlosser	4
The sum of divisors function and the Riemann hypothesis	4
Euler products of Selberg zeta functions in the critical strip	4
On index divisors and monogenity of certain number fields defined by $$x^{12}+ax^m+b$$	4
New application of the Cauchy operator on the homogeneous Rogers–Szegö polynomials	4
Two explicit divisor sums	4
New proofs of some double sum Rogers–Ramanujan type identities	4
Some double-angle formulas related to a generalized lemniscate function	4
On small sets of integers	4
On k-partitions of multisets with equal sums	4
Hyperbolic summation for functions of the GCD and LCM of several integers	4
Some identities on Beck’s partition statistics	4
An additive problem over Piatetski–Shapiro primes and almost-primes	4
Another generalization of Euler’s arithmetic function and Menon’s identity	4
Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions	4
A further look at cubic partitions	4
Growth properties of the q-Dunkl transform in the space $$L^{p}_{q,\alpha }({\mathbb {R}}_{q},|x|^{2\alpha +1}d_{q}x)$$	4
The rational Heun operator and Wilson biorthogonal functions	3
Arithmetic properties for Appell–Lerch sums	3
Integer group determinants for $$\text {C}_{2}^{4}$$	3
Truncated Hecke–Rogers type series—part II	3
$${\mathbb {Q}}$$-linear dependence of certain Bessel moments	3
An efficient determination of the coefficients in the Chudnovskys’ series for 1/$$\pi $$	3
Some q-supercongruences from Gasper’s Karlsson–Minton type summation	3
A new extension of the (H.2) supercongruence of Van Hamme for primes $$p\equiv 3\pmod {4}$$	3
Alternating multiple T-values: weighted sums, duality, and dimension conjecture	3
Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials	3
Ranks, cranks for overpartitions and Appell–Lerch sums	3
Congruences for a class of eta-quotients and their applications	3
Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind	3
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry	3
On sums of sums involving cube-full numbers	3
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$	3
Almost 3-regular overpartitions	3
On primes and practical numbers	3
Finite trigonometric sums arising from Ramanujan’s theta functions	3
Averages of coefficients of a class of degree 3 L-functions	3
Properties of the Appell–Lerch function (I)	3
q-Pearson pair and moments in q-deformed ensembles	3
Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications	3

Atkin–Lehner theory for Drinfeld modular forms and applications	3
$$\Gamma $$-evaluations of hypergeometric series	3
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	3
Tight upper and lower bounds for the reciprocal sum of Proth primes	3
Expansions over Legendre polynomials and infinite double series identities	3
On Robin’s inequality	2
Fixed points and matching points in partitions	2
Convergent series of integers with missing digits	2
On a sum involving certain arithmetic functions and the integral part function	2
On variants of symmetric multiple zeta-star values and the cyclic sum formula	2
The Lang–Trotter conjecture for products of non-CM elliptic curves	2
Matching coefficients in the series expansions of certain q-products and their reciprocals	2
Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions	2
Absolutely convergent q-Dunkl integrals and classical function spaces	2
Approximation by generalized shifts of the Riemann zeta-function in short intervals	2
Crossed out modular equations of degree 11 of Ramanujan	2
Projections of modular forms on Eisenstein series and its application to Siegel’s formula	2
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	2
Spectral exponential sums on hyperbolic surfaces	2
Eisenstein series and an asymptotic for the K-Bessel function	2
Automorphic Schwarzian equations and integrals of weight 2 forms	2
New inequalities for p(n) and $$\log p(n)$$	2
Menon-type identities with respect to sets of units	2
Spectral density functions of bivariable stable polynomials	2
On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials	2
Determining an L-function in the extended Selberg class by its preimages of subsets	2
Transcendency of some constants related to integer sequences of polynomial iterations	2
A refinement of a result of Andrews and Newman on the sum of minimal excludants	2
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	2
On a ternary Diophantine equation involving fractional powers with prime variables of a special form	2
Hypergeometric functions over finite fields	2
Some tridiagonal determinants	2
Algebraicity of critical values of adjoint L-functions for $$\mathrm{GSp}_4$$	2
On the convolutions of sums of multiple zeta(-star) values of height one	2
Lauricella hypergeometric series $$F_A^{(n)}$$ over finite fields	2
Asymptotics of Chebyshev polynomials, V. residual polynomials	2
Combinatorics of periodic ellipsoidal billiards	2
Bounds for the generalized Marcum function of the second kind	2
An Erdős–Fuchs theorem for ordered representation functions	2
The average size of Ramanujan sums over quadratic number fields	2
Polynomization of the Liu–Zhang inequality for the overpartition function	2
A Lucas–Lehmer approach to generalised Lebesgue–Ramanujan–Nagell equations	2
Symplectic Kloosterman sums and Poincaré series	2
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities	2
A Menon-type identity with Dirichlet characters in residually finite Dedekind domains	2
Combinatorics of orthogonal polynomials of type $$R_I$$	2
The modular differential equation for skew-holomorphic Jacobi forms	2
Self-conjugate $$(s,s+d,\dots ,s+pd)$$-core partitions and free Motzkin paths	2
Semi-modular forms from Fibonacci–Eisenstein series	2
On 3-divisibility of 9- and 27-regular partitions	2
Fields of small class number in the family $$\mathbb {Q}(\sqrt{9m^2+4m})$$	2
Integral representation and computational properties of the incomplete Fox–Wright function	2
Note on a simple trigonometric equality	2
Ramanujan-like formulae for $$\pi $$ and $$1/\pi $$ via Gould–Hsu inverse series relations	2
Some identities for Lin–Peng–Toh’s k-colored partition statistic	2
Asymptotic distribution of the partition crank	2
Effective estimation of some oscillatory integrals related to infinitely divisible distributions	2
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism	2
On the Waring–Goldbach problem for squares, cubes and higher powers	2
Inequalities between overpartition ranks for all moduli	2
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	2
A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions	2
Even–odd partition identities of Rogers–Ramanujan type	2
Average of Dirichlet coefficients of cuspidal representations related to GL(2)	2
The Prouhet–Tarry–Escott problem, indecomposability of polynomials and Diophantine equations	2
Divisibility of certain $$\ell $$-regular partitions by 2	2
Computable structural formulas for the distribution of the $$\beta $$-Jacobi edge eigenvalues	2
Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions	1
Note on Halphen’s system	1
Bounds on the Möbius-signed partition numbers	1
The integral moments and ratios of quadratic Dirichlet L-functions over monic irreducible polynomials in $$\mathbb {F}_{q}[T]$$	1
Ramanujan’s function k, revisited	1
Ramanujan-type $$1/\pi $$-series from bimodular forms	1
Generalized-hypergeometric solutions of the biconfluent Heun equation	1
On p-divisibility of Fourier coefficients of Siegel modular forms	1
Diophantine approximation with mixed powers of primes	1
Primality tests, linear recurrent sequences and the Pell equation	1
On the distribution of Ramanujan sums over number fields	1
Wave packet transform and wavelet convolution product involving the index Whittaker transform	1
Some remarks on Kida’s formula when $$\mu \ne 0$$	1

Generalizations of the truncated pentagonal number theorem results	1
Asymptotic expansions for the truncation error in Ramanujan-type series	1
Borweins’ cubic theta functions revisited	1
On cranks of partitions modulo 12 and 16	1
Moments of orthogonal polynomials and exponential generating functions	1
An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis	1
Multiple zeta star values on 3–2–1 indices	1
A sum of squares not divisible by a prime	1
On the infinite Borwein product raised to a positive real power	1
Discrepancy estimates for some linear generalized monomials at prime arguments	1
An algebraic approach to q-partial fractions and Sylvester denumerants	1
Sums of logarithmic weights involving r-full numbers	1
New companions to the generalizations of the Göllnitz–Gordon identities	1
Generalizations of Alladi’s formula for arithmetical semigroups	1
On the evaluation of the alternating multiple $$ t $$ value $$ t({\overline{1}},\ldots ,{\overline{1}}, 1, {\overline{1}},\ldots ,{\overline{1}}) $$	1
Minimal additive complements in finitely generated abelian groups	1
A deformation of multiple L-values	1
Congruence relations satisfied by quaternionic modular forms	1
Arithmetic statistics and diophantine stability for elliptic curves	1
Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms	1
The log-balancedness of generalized derangement numbers	1
Orthogonal functions related to Lax pairs in Lie algebras	1
Factorizations of bivariate Taylor series via inverse power products	1
Growth of torsion groups of elliptic curves upon base change from number fields	1
Highly composite numbers and the Riemann hypothesis	1
Sign behaviour of sums of weighted numbers of partitions	1
Combinatorial proofs and refinements of three partition theorems of Andrews	1
Sign changes in the prime number theorem	1
Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike	1
The Frobenius formula for $$A=(a,ha+d,ha+b_2d, \ldots ,ha+b_kd)$$	1
Uniqueness of Fourier coefficients of eigenforms	1
On L-functions of modular elliptic curves and certain K3 surfaces	1
Stieltjes constants of L-functions in the extended Selberg class	1
On hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$	1
Dimensions of certain sets of continued fractions with non-decreasing partial quotients	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
The asymptotic number of weighted partitions with a given number of parts	1
Strong pseudoprimes to base 2	1
On the combinatorics of the number of even parts in all partitions with distinct parts	1
Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes	1
On primitive elements of algebraic function fields and models of $$X_0(N)$$	1
Weighted sum formulas for symmetric multiple zeta values	1
Modular relations for the Rogers–Ramanujan functions with applications to partitions	1
Three cubic q-series of Gasper and Rahman	1
A note on the exceptional set for Diophantine approximation with mixed powers of primes	1
On the Fourier coefficients of certain Hilbert modular forms	1
Ideal class groups of imaginary quadratic fields	1
On effective irrationality exponents of cubic irrationals	1
Tate $$\gamma $$-factor, Weil index, and the metaplectic $$\widetilde{\gamma }$$ -factor	1
Elementary proofs of infinite families of congruences for Merca’s cubic partitions	1
Utility of integral representations for basic hypergeometric functions and orthogonal polynomials	1
Andrews-Beck type congruences modulo powers of 5	1
On a ternary Diophantine inequality over primes	1
Multiplicative functions supported on the k-free integers with small partial sums	1
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series	1
Asymptotics for Bailey-type mock theta functions	1
On Y-coordinates of Pell equations which are Lucas numbers	1
Double interlacing between zeros of modular forms	1
Inverses of r-primitive k-normal elements over finite fields	1
The three missing terms in Ramanujan’s septic theta function identity	1
On the p-ranks of the ideal class groups of imaginary quadratic fields	1
Powers in arithmetic progressions	1
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	1
Counting multiplicative approximations	1
Ramanujan’s Master Theorem and two formulas for the zero-order Hankel transform	1
Congruence properties of coefficients of the eighth-order mock theta function $$V_0(q)$$	1
Weighted Erdős–Kac theorem in short intervals	1
Log-convexity and the overpartition function	1
Parity of the 8-regular partition function	1
Arithmetic of Châtelet surfaces under extensions of base fields	1
Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves	1
On a divisor of the central binomial coefficient	1
Partitions into Beatty sequences	1
Additive decompositions of cubes in finite fields	1
Rational points on algebraic curves in infinite towers of number fields	1
An expansion of $$(q, \lambda )$$-derivative operator	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Semi-invariants of binary forms and Sylvester’s theorem	1
Completions and algebraic formulas for the coefficients of Ramanujan’s mock theta functions	1
On a problem involving the squares of odd harmonic numbers	1
Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms	1
Additive functions in short intervals, gaps and a conjecture of Erdős	1
The partition-frequency enumeration matrix	1
Small diameters and generators for arithmetic lattices in $$\textrm{SL}_2(\mathbb {R})$$ and certain Ramanujan graphs	1
Some determinantal representations of derangement numbers and polynomials	1
A new approach to the Dyson rank conjectures	1
A harmonic mean inequality for the q-gamma function	1
On a generalization of Menon–Sury identity to number fields involving a Dirichlet character	1
On sums of coefficients of polynomials related to the Borwein conjectures	1
Zeros of the combination of the Eisenstein series for $$\Gamma _0^+(2)$$	1
Fine Selmer groups and ideal class groups	1
Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions	1
On two supercongruences of truncated hypergeometric series $${}_{4}F_{3}$$	1
Characterizing the supernorm partition statistic	1
A single-variable proof of the omega SPT congruence family over powers of 5	1