Ramanujan Journal

Papers
(The median citation count of Ramanujan Journal is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-07-01 to 2025-07-01.)
ArticleCitations
Some new q-series identities through an extended Bailey transform17
A quaternary Diophantine inequality with prime numbers of a special form12
Weyl-type bounds for twisted GL(2) short character sums10
Factorized $$A_2$$-Leonard pair10
Galois representations over function fields that are ramified at one prime10
A note on two of Ramanujan’s mock theta functions10
New contiguous relations for a balanced q-series and their applications8
Palindrome partitions and the Calkin–Wilf tree8
Discriminants of cubic curves and determinantal representations8
New inequalities for p(n) and $$\log p(n)$$8
A note on the exceptional set for Diophantine approximation with mixed powers of primes8
Log-convexity and the overpartition function7
The log-convexity of the n-th root sequence of the Andrews smallest parts function7
100 Years of mock theta functions7
Rational points on algebraic curves in infinite towers of number fields7
Congruence properties for $$(\ell , m)$$-regular bipartitions7
Diophantine approximation with mixed powers of primes7
Zeros of Jacobi and ultraspherical polynomials7
Counting multiplicative approximations7
On the Diophantine equation Fnx + Fkx = Fmy6
New generalisation of Jacobi’s derivative formula6
Congruences for the coefficients of a pair of third and sixth order mock theta functions6
Linear independence of special values of Jacobi-theta constants6
A new approach to the Dyson rank conjectures6
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions6
The powers of Euler’s product and congruences for certain partition functions6
Reciprocity between partitions and compositions6
Rankin–Cohen brackets of Hilbert Hecke eigenforms5
A note of a modular equation of Ramanujan–Selberg continued fraction5
Diophantine approximation with prime denominator in quadratic number fields under GRH5
Sums of singular series and primes in short intervals in algebraic number fields5
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series5
A generalized Ramanujan master theorem and integral representations of meromorphic functions5
Rahman like polynomials as eigenvectors of certain Markov chains5
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$5
Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra5
Discrepancy estimates for some linear generalized monomials at prime arguments5
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$4
On ranks of quadratic twists of a Mordell curve4
New proofs of some double sum Rogers–Ramanujan type identities4
Some determinantal representations of derangement numbers and polynomials4
On restricted approximation measures of Jacobi’s triple product4
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism4
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series4
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity4
A pair of equations in two prime squares, four prime cubes and powers of two4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity4
On some determinants involving the tangent function4
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera4
The oscillations of Hecke eigenvalues over arithmetic progressions on certain integral binary quadratic forms4
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free4
Bijections, generalizations, and other properties of sequentially congruent partitions4
Some definite integrals of Ramanujan4
Preface4
On the number of p-hypergeometric solutions of KZ equations3
Generalized-hypergeometric solutions of the biconfluent Heun equation3
Hypergeometric functions over finite fields3
Additive representations of natural numbers3
Deviation of the rank and crank modulo 113
Composition-theoretic series in partition theory3
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$3
On the coefficients of automorphic representations over polynomials3
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$3
On the congruences of Eisenstein series with polynomial indexes3
Integral representation and computational properties of the incomplete Fox–Wright function3
Trace and norm of indecomposable integers in cubic orders3
Parity of the 8-regular partition function3
An expansion of $$(q, \lambda )$$-derivative operator3
On sums of biquadratic powers with almost equal primes3
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables3
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials3
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials3
Diamonds in the Langlands program: a comprehensive review3
Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities3
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime3
Beck-type identities: new combinatorial proofs and a modular refinement3
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field3
Asymptotics of Chebyshev polynomials, V. residual polynomials3
An elementary proof of a theorem of Hardy and Ramanujan3
Congruence relations satisfied by quaternionic modular forms3
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative3
Spectral exponential sums on hyperbolic surfaces2
A parameterized family of quadratic class groups with 3-Sylow subgroups of rank at least three2
The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums2
A bijective look at gapfree partitions: between local and global2
Three cubic q-series of Gasper and Rahman2
Moments of the argument of automorphic L-functions for $$GL_2$$2
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$2
Evaluation of certain convolution sums involving the sum of the divisors function2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes2
Ramanujan’s approximation to the exponential function and generalizations2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$2
On the positivity of a certain function related with the Digamma function2
Certain eta-quotients and $$\ell $$-regular partitions with distinct odd parts2
Arithmetic of Châtelet surfaces under extensions of base fields2
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis2
Value sets of non-permutation polynomials over the residue class rings of integers2
Exact formula for cubic partitions2
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$2
An equivalent condition for abelian varieties over finite fields to have QM2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results2
Negative real moments of restricted factors in arithmetic progression2
A series of definite integrals involving upper incomplete Gamma functions2
A new entire factorial function2
Semi-invariants of binary forms and Sylvester’s theorem2
Correction to: Exact formula for cubic partitions2
The modular differential equation for skew-holomorphic Jacobi forms2
Extended Weil representations: the finite field cases2
On p-divisibility of Fourier coefficients of Siegel modular forms2
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation2
Ramanujan–Fine integrals for level 102
A generalization of a theorem of Sylvester and Schur2
Tight upper and lower bounds for the reciprocal sum of Proth primes2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind2
Gaussian hypergeometric functions and cyclotomic matrices2
Explicit families of congruences for the overpartition function2
A combinatorial interpretation of Mahonian numbers of types B and D2
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups2
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions2
Sums of the kth divisor function of the ternary quadratic with prime variables2
Expansions over Legendre polynomials and infinite double series identities2
Sums of k-th powers and Fourier coefficients of cusp forms2
On the Northcott property of Dedekind zeta functions2
Points of bounded height on weighted projective spaces over global function fields2
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus2
Almost primes of the form $$[p^{1/\gamma }]$$2
Hecke–Rogers type series representations for infinite products2
On algebraic twists with composite moduli2
Euler’s Criterion for prime order in some least non-PID cases2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$1
Unusual class of polynomials related to partitions1
Irrationality and transcendence questions in the ‘poor man’s adèle ring’1
Simultaneous indivisibility of class numbers of pairs of real quadratic fields1
Partition congruences and vanishing coefficients of products of theta functions1
Congruences for odd class numbers of quadratic fields with odd discriminant1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme1
A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields1
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$1
On certain McKay numbers of symmetric groups1
Even–odd partition identities of Rogers–Ramanujan type1
Two prime squares, four prime cubes and powers of 21
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 forms1
Motivic interpretations for iterated integrals on some specific algebraic curves1
Uniformizer of the false Tate curve extension of $${\mathbb {Q}}_p$$1
Arithmetic properties for Appell–Lerch sums1
Double Eisenstein series and modular forms of level 41
A new Andrews–Crandall-type identity and the number of integer solutions to $$x^2+2y^2+2z^2=n$$1
On sign changes of Fourier coefficients of Hermitian cusp forms of degree two1
On the convolutions of sums of multiple zeta(-star) values of height one1
On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power L-Functions1
On holomorphic theta functions associated with rank r isotropic discrete subgroups1
Some problems about friable numbers in Piatetski-Shapiro sequence1
A closed-form expression for the Euler–Kronecker constant of a quadratic field1
Hyperbolic summation for functions of the GCD and LCM of several integers1
Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions1
On two double series for $$\pi $$ and their q-analogues1
On signatures of elliptic curves and modular forms1
Polynomization of the Liu–Zhang inequality for the overpartition function1
On a ternary Diophantine inequality over primes1
Alternating multiple T-values: weighted sums, duality, and dimension conjecture1
Somewhat smooth numbers in short intervals1
Several q-series transformation formulas and new Hecke–Rogers type series identities1
On index divisors and monogenity of certain number fields defined by $$x^{12}+ax^m+b$$1
A newform theory for mod-p Katz modular forms1
The convolution sums of MacMahon’s q-series1
Double interlacing between zeros of modular forms1
Projections of modular forms on Eisenstein series and its application to Siegel’s formula1
Signs behaviour of sums of weighted numbers of compositions1
On a variant of the classical multiplicity one theorem1
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities1
Spectral moments of the real Ginibre ensemble1
Congruences for a class of eta-quotients and their applications1
A combinatorial proof of q-log-concavity of q-Eulerian numbers1
The density of the graph of elliptic Dedekind sums1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$1
Bivariate asymptotics for eta-theta quotients with simple poles1
On sums of sums involving cube-full numbers1
Congruences modulo 4 and 8 for Ramanujan’s sixth-order mock theta function $$\rho (q)$$1
On a sum involving certain arithmetic functions and the integral part function1
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields1
On the power moments of hybrid arithmetic functions associated with the Hecke eigenvalues1
On a divisor problem associated to Dedekind zeta function over certain quadratic forms1
Sum formula for multiple zeta function1
Some new Andrews-Beck type congruences for overpartitions1
Summation formulas for a class of terminating $$_4\phi _3$$-series1
Ramanujan’s trigonometric sums and orthogonal polynomials on the unit circle1
Additive decompositions of cubes in finite fields1
Exterior square gamma factors for cuspidal representations of $$\mathrm {GL}_n$$: simple supercuspidal representations1
Sums of squares of integral multiples of an integral element of real bi-quadratic fields1
A note on certain summations due to Ramanujan with application and generalization1
A generalization of Markov Numbers1
On proportionally modular numerical semigroups of embedding dimension three1
On the number of necklaces whose co-periods divide a given integer1
Real quadratic fields with odd class number divisible by 31
Normal integral bases of Lehmer’s cyclic quintic fields1
Strong Frobenius structures associated with q-difference operators1
Symmetric relations related to mock theta functions1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l1
On the number of solutions to the generalized Ramanujan–Nagell equation1
Additive evaluations of the number of divisors1
A lower bound for the discrepancy in a Sato–Tate type measure1
A note on the distribution of $$d_3(n)$$ in arithmetic progressions1
Some new properties of the beta function and Ramanujan R-function1
Correction: Arithmetic properties of MacMahon-type sums of divisors1
Weighted sum formulas for symmetric multiple zeta values1
Fourier coefficients of the triple product L-function over sparse sets1
Overpartition analogues of q-bi$$^{s}$$nomial coefficients: basic properties and log-concavity1
Divisibility of certain $$\ell $$-regular partitions by 21
Companions for well-known formulas and applications to overpartitions1
On some integrals involving the general divisor problem1
Density results and congruences for an analogue of t-core partitions1
Partitions into powers of an algebraic number1
A q-analog of the Stirling–Eulerian Polynomials1
Symplectic Kloosterman sums and Poincaré series1
Ramanujan’s taxicab number and its ilk1
A new family of imaginary quadratic fields with class number divisible by 51
Hahn polynomials and the Burnside process1
Generalizations of the truncated pentagonal number theorem results1
On a formula of the q-series $$_{2k+4}\phi _{2k+3}$$ and its applications1
Cubic theta functions and modular forms of level six1
The k-fold divisor function over Beatty sequences1
Two generalizations of Jacobi’s triple product identity and their applications1
The distribution of coefficients of symmetric square L-functions over sparse sequences1
Piatetski-Shapiro primes in arithmetic progressions1
Representations of Bell quinary quadratic forms1
On a paper by Nikolaev1
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields1
Correction: On the positivity of a certain function related with the Digamma function1
On a variant of Pillai’s problem with factorials and S-units1
Bilateral Bailey pairs and Rogers–Ramanujan type identities1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces1
An analogue of Kida’s formula for elliptic curves with additive reduction1
Algebraic aspects of rooted tree maps1
On a function of Ramanujan twisted by a logarithm1
Multiplicative functions supported on the k-free integers with small partial sums1
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level1
On pairs of eight cubes of primes and powers of 21
A conjecture of Coleman on the Eisenstein family1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics1
On certain cyclotomic matrices involving biquadratic residues1
On values of Ramanujan’s tau function involving two prime factors1
Vanishing properties of Kloosterman sums and Dyson’s conjectures0
Sufficient conditions for the weighted integrability of Jacobi–Dunkl transforms0
Discrete orthogonal polynomials associated with Macdonald functions0
On a quinary Diophantine inequality involving one prime of the special form0
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