Ramanujan Journal

Article	Citations
Some new q-series identities through an extended Bailey transform	16
A quaternary Diophantine inequality with prime numbers of a special form	10
Weyl-type bounds for twisted GL(2) short character sums	10
Galois representations over function fields that are ramified at one prime	10
Linear independence of special values of Jacobi-theta constants	10
Factorized $$A_2$$-Leonard pair	9
A note on the exceptional set for Diophantine approximation with mixed powers of primes	8
A note on two of Ramanujan’s mock theta functions	8
Discriminants of cubic curves and determinantal representations	8
Palindrome partitions and the Calkin–Wilf tree	8
New contiguous relations for a balanced q-series and their applications	7
100 Years of mock theta functions	7
Zeros of Jacobi and ultraspherical polynomials	7
Diophantine approximation with mixed powers of primes	6
Counting multiplicative approximations	6
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions	6
Congruence properties for $$(\ell , m)$$-regular bipartitions	6
Log-convexity and the overpartition function	6
New inequalities for p(n) and $$\log p(n)$$	6
On the Diophantine equation Fnx + Fkx = Fmy	6
Rational points on algebraic curves in infinite towers of number fields	6
New generalisation of Jacobi’s derivative formula	6
Inequalities for sine sums with more variables	6
Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra	5
A generalized Ramanujan master theorem and integral representations of meromorphic functions	5

The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	5
Reciprocity between partitions and compositions	5
Rankin–Cohen brackets of Hilbert Hecke eigenforms	5
Rahman like polynomials as eigenvectors of certain Markov chains	5
Discrepancy estimates for some linear generalized monomials at prime arguments	5
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity	5
Sums of singular series and primes in short intervals in algebraic number fields	5
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series	5
A note of a modular equation of Ramanujan–Selberg continued fraction	5
Diophantine approximation with prime denominator in quadratic number fields under GRH	5
The powers of Euler’s product and congruences for certain partition functions	5
A new approach to the Dyson rank conjectures	5
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$	5
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$	4
The oscillations of Hecke eigenvalues over arithmetic progressions on certain integral binary quadratic forms	4
Congruences for the coefficients of a pair of third and sixth order mock theta functions	4
A pair of equations in two prime squares, four prime cubes and powers of two	4
On restricted approximation measures of Jacobi’s triple product	4
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$	4
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism	4
On ranks of quadratic twists of a Mordell curve	4
Preface	4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity	4
Asymptotics of Chebyshev polynomials, V. residual polynomials	4
Some determinantal representations of derangement numbers and polynomials	4
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series	4
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free	4
Bijections, generalizations, and other properties of sequentially congruent partitions	4
Some definite integrals of Ramanujan	4
On some determinants involving the tangent function	4
Integral representation and computational properties of the incomplete Fox–Wright function	3
Additive representations of natural numbers	3
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$	3
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials	3
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative	3
An elementary proof of a theorem of Hardy and Ramanujan	3
Generalized-hypergeometric solutions of the biconfluent Heun equation	3
Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions	3
Trace and norm of indecomposable integers in cubic orders	3
Diamonds in the Langlands program: a comprehensive review	3
An expansion of $$(q, \lambda )$$-derivative operator	3
Composition-theoretic series in partition theory	3
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field	3
On the coefficients of automorphic representations over polynomials	3
On the congruences of Eisenstein series with polynomial indexes	3
Hypergeometric functions over finite fields	3
On the number of p-hypergeometric solutions of KZ equations	3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities	3
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime	3
Beck-type identities: new combinatorial proofs and a modular refinement	3

New proofs of some double sum Rogers–Ramanujan type identities	3
On sums of biquadratic powers with almost equal primes	3
Congruence relations satisfied by quaternionic modular forms	3
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials	3
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables	3
Deviation of the rank and crank modulo 11	3
Parity of the 8-regular partition function	3
Ramanujan’s approximation to the exponential function and generalizations	2
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus	2
Almost primes of the form $$[p^{1/\gamma }]$$	2
Correction to: Exact formula for cubic partitions	2
Semi-invariants of binary forms and Sylvester’s theorem	2
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	2
Sums of k-th powers and Fourier coefficients of cusp forms	2
Exact formula for cubic partitions	2
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials	2
Tight upper and lower bounds for the reciprocal sum of Proth primes	2
The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function	2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results	2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	2
Gaussian hypergeometric functions and cyclotomic matrices	2
Explicit families of congruences for the overpartition function	2
Ramanujan–Fine integrals for level 10	2
Expansions over Legendre polynomials and infinite double series identities	2
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation	2
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	2
On the positivity of a certain function related with the Digamma function	2
Certain eta-quotients and $$\ell $$-regular partitions with distinct odd parts	2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	2
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	2
Moments of the argument of automorphic L-functions for $$GL_2$$	2
A new entire factorial function	2
Euler’s Criterion for prime order in some least non-PID cases	2
A series of definite integrals involving upper incomplete Gamma functions	2
Spectral exponential sums on hyperbolic surfaces	2
Negative real moments of restricted factors in arithmetic progression	2
Note on Halphen’s system	2
Value sets of non-permutation polynomials over the residue class rings of integers	2
Sums of the kth divisor function of the ternary quadratic with prime variables	2
Evaluation of certain convolution sums involving the sum of the divisors function	2
A bijective look at gapfree partitions: between local and global	2
On the Northcott property of Dedekind zeta functions	2
The modular differential equation for skew-holomorphic Jacobi forms	2
On p-divisibility of Fourier coefficients of Siegel modular forms	2
Points of bounded height on weighted projective spaces over global function fields	2
A generalization of a theorem of Sylvester and Schur	2
Extended Weil representations: the finite field cases	2
Arithmetic of Châtelet surfaces under extensions of base fields	2
On a variant of the classical multiplicity one theorem	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
Three cubic q-series of Gasper and Rahman	2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	2
Hecke–Rogers type series representations for infinite products	2
A parameterized family of quadratic class groups with 3-Sylow subgroups of rank at least three	2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions	2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes	2
On algebraic twists with composite moduli	2
Ramanujan’s taxicab number and its ilk	1
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields	1
Companions for well-known formulas and applications to overpartitions	1
A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields	1
The k-fold divisor function over Beatty sequences	1
Two generalizations of Jacobi’s triple product identity and their applications	1
Polynomization of the Liu–Zhang inequality for the overpartition function	1
On the convolutions of sums of multiple zeta(-star) values of height one	1
Cubic theta functions and modular forms of level six	1
On holomorphic theta functions associated with rank r isotropic discrete subgroups	1
On certain McKay numbers of symmetric groups	1
Some problems about friable numbers in Piatetski-Shapiro sequence	1
Alternating multiple T-values: weighted sums, duality, and dimension conjecture	1
Motivic interpretations for iterated integrals on some specific algebraic curves	1
A closed-form expression for the Euler–Kronecker constant of a quadratic field	1
Hyperbolic summation for functions of the GCD and LCM of several integers	1
Algebraic aspects of rooted tree maps	1
Normal integral bases of Lehmer’s cyclic quintic fields	1
Strong Frobenius structures associated with q-difference operators	1
The distribution of coefficients of symmetric square L-functions over sparse sequences	1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	1
Symplectic Kloosterman sums and Poincaré series	1

On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
A q-analog of the Stirling–Eulerian Polynomials	1
Divisibility of certain $$\ell $$-regular partitions by 2	1
On index divisors and monogenity of certain number fields defined by $$x^{12}+ax^m+b$$	1
Two prime squares, four prime cubes and powers of 2	1
A combinatorial proof of q-log-concavity of q-Eulerian numbers	1
Spectral moments of the real Ginibre ensemble	1
Weighted sum formulas for symmetric multiple zeta values	1
Density results and congruences for an analogue of t-core partitions	1
On sums of sums involving cube-full numbers	1
Congruences modulo 4 and 8 for Ramanujan’s sixth-order mock theta function $$\rho (q)$$	1
Bivariate asymptotics for eta-theta quotients with simple poles	1
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	1
On the first simultaneous sign change for Fourier coefficients associated with Hecke–Maass forms	1
Congruences for a class of eta-quotients and their applications	1
On two double series for $$\pi $$ and their q-analogues	1
Uniformizer of the false Tate curve extension of $${\mathbb {Q}}_p$$	1
Somewhat smooth numbers in short intervals	1
Summation formulas for a class of terminating $$_4\phi _3$$-series	1
A new Andrews–Crandall-type identity and the number of integer solutions to $$x^2+2y^2+2z^2=n$$	1
Additive decompositions of cubes in finite fields	1
Unusual class of polynomials related to partitions	1
Exterior square gamma factors for cuspidal representations of $$\mathrm {GL}_n$$: simple supercuspidal representations	1
On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power L-Functions	1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme	1
A generalization of Markov Numbers	1
On proportionally modular numerical semigroups of embedding dimension three	1
A note on certain summations due to Ramanujan with application and generalization	1
Some new properties of the beta function and Ramanujan R-function	1
Fourier coefficients of the triple product L-function over sparse sets	1
On the number of necklaces whose co-periods divide a given integer	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Hahn polynomials and the Burnside process	1
On a function of Ramanujan twisted by a logarithm	1
On sign changes of Fourier coefficients of Hermitian cusp forms of degree two	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
Real quadratic fields with odd class number divisible by 3	1
On the number of solutions to the generalized Ramanujan–Nagell equation	1
Additive evaluations of the number of divisors	1
On certain cyclotomic matrices involving biquadratic residues	1
A conjecture of Coleman on the Eisenstein family	1
Even–odd partition identities of Rogers–Ramanujan type	1
Overpartition analogues of q-bi$$^{s}$$nomial coefficients: basic properties and log-concavity	1
Partitions into powers of an algebraic number	1
On signatures of elliptic curves and modular forms	1
Signs behaviour of sums of weighted numbers of compositions	1
A new family of imaginary quadratic fields with class number divisible by 5	1
Correction: On the positivity of a certain function related with the Digamma function	1
Arithmetic properties for Appell–Lerch sums	1
On a formula of the q-series $$_{2k+4}\phi _{2k+3}$$ and its applications	1
On the power moments of hybrid arithmetic functions associated with the Hecke eigenvalues	1
Generalizations of the truncated pentagonal number theorem results	1
On a divisor problem associated to Dedekind zeta function over certain quadratic forms	1
Sum formula for multiple zeta function	1
Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions	1
Piatetski-Shapiro primes in arithmetic progressions	1
Ramanujan’s trigonometric sums and orthogonal polynomials on the unit circle	1
On a paper by Nikolaev	1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$	1
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	1
Sums of squares of integral multiples of an integral element of real bi-quadratic fields	1
Multiplicative functions supported on the k-free integers with small partial sums	1
On values of Ramanujan’s tau function involving two prime factors	1
On a variant of Pillai’s problem with factorials and S-units	1
Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions	1
On pairs of eight cubes of primes and powers of 2	1
Projections of modular forms on Eisenstein series and its application to Siegel’s formula	1
An analogue of Kida’s formula for elliptic curves with additive reduction	1
On a ternary Diophantine inequality over primes	1
The density of the graph of elliptic Dedekind sums	1
Representations of Bell quinary quadratic forms	1
A newform theory for mod-p Katz modular forms	1
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	1
A lower bound for the discrepancy in a Sato–Tate type measure	1
Symmetric relations related to mock theta functions	1
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities	1
Partition congruences and vanishing coefficients of products of theta functions	1
A note on the distribution of $$d_3(n)$$ in arithmetic progressions	1
Double interlacing between zeros of modular forms	1
Simultaneous indivisibility of class numbers of pairs of real quadratic fields	1
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$	1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	1
On a sum involving certain arithmetic functions and the integral part function	1
Double Eisenstein series and modular forms of level 4	1
On the error term $$\Delta _{(k,l)}(x)$$	1