Ramanujan Journal

Papers
(The TQCC of Ramanujan Journal is 1. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Hankel determinants of linear combinations of moments of orthogonal polynomials, II16
Extended Weil representations: the finite field cases12
Covering shrinking polynomials by quasi progressions10
On cranks of partitions modulo 12 and 1610
Linear independence of special values of Jacobi-theta constants9
On the distribution of the norm of partitions9
Galois representations over function fields that are ramified at one prime8
Factorized $$A_2$$-Leonard pair8
On a continued fraction expansion of the special function $$e^{x}E_{1}(x)$$ and an explicit expression of the continued fraction convergents8
The p-adic valuations and degrees of monomial exponential sums7
Stirling numbers with higher level and records7
A quaternary Diophantine inequality with prime numbers of a special form7
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces7
Points of bounded height on weighted projective spaces over global function fields7
On certain McKay numbers of symmetric groups6
Palindrome partitions and the Calkin–Wilf tree6
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$6
On signatures of elliptic curves and modular forms6
A q-analogue of symmetric multiple zeta value6
Newform Eisenstein congruences of local origin6
Some new q-series identities through an extended Bailey transform6
The Hasse invariant of the Tate normal form $$E_7$$ and the supersingular polynomial for the Fricke group $$\Gamma _0^*(7)$$6
Fourier coefficients twisted with exponential functions6
Primes of higher degree and annihilators of class groups6
$$\mathbb {Z}_2$$-extension of real quadratic fields with $$\mathbb {Z}/2\mathbb {Z}$$ as 2-class group at each layer5
A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions5
On near orthogonality of certain k-vectors involving generalized Ramanujan sums5
Moments of the argument of automorphic L-functions for $$GL_2$$5
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values5
Characterizing the supernorm partition statistic5
Lie algebras of differential operators for matrix valued Laguerre type polynomials5
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind5
The log-balancedness of generalized derangement numbers5
On matching and periodicity for $$(N,\alpha )$$-expansions5
Weyl-type bounds for twisted GL(2) short character sums5
Spectral exponential sums on hyperbolic surfaces5
Explicit families of congruences for the overpartition function5
100 Years of mock theta functions4
Zeros of Jacobi and ultraspherical polynomials4
Uniqueness of Fourier coefficients of eigenforms4
A parameterized family of quadratic class groups with 3-Sylow subgroups of rank at least three4
Diophantine approximation with mixed powers of primes4
Continued fractions for cycle-alternating permutations4
Strong pseudoprimes to base 24
On the p-ranks of the ideal class groups of imaginary quadratic fields4
A q-analog of the Stirling–Eulerian Polynomials4
New inequalities for p(n) and $$\log p(n)$$4
Symplectic Kloosterman sums and Poincaré series4
A lower bound for the discrepancy in a Sato–Tate type measure4
Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves4
Double interlacing between zeros of modular forms4
Tight upper and lower bounds for the reciprocal sum of Proth primes4
Hahn polynomials and the Burnside process4
Combinatorial proofs and refinements of three partition theorems of Andrews4
New contiguous relations for a balanced q-series and their applications3
On a theorem of Borel on diophantine approximation3
Note on Halphen’s system3
On certain cyclotomic matrices involving biquadratic residues3
Weighted sum formulas for symmetric multiple zeta values3
Spectral moments of the real Ginibre ensemble3
On sums of coefficients of Borwein type polynomials over arithmetic progressions3
Discriminants of cubic curves and determinantal representations3
The truncated sum of digits function of polynomial sequences3
Real quadratic fields with odd class number divisible by 33
Exact formula for cubic partitions3
Exact values and lower bounds on the n-color weak Schur numbers for $$n=2,3$$3
Ramanujan-type $$1/\pi $$-series from bimodular forms3
A note on the exceptional set for Diophantine approximation with mixed powers of primes3
Vanishing coefficients and identities concerning Ramanujan’s parameters3
q-Racah probability distribution3
Almost 3-regular overpartitions3
m-Dissections of some infinite products and related identities3
Counting multiplicative approximations3
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups3
Growth of torsion groups of elliptic curves upon base change from number fields3
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions3
On a ternary Diophantine inequality with one prime of the form $$p=x^2+y^2+1$$3
Log-convexity and the overpartition function3
A sum of squares not divisible by a prime3
On hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$3
Robin’s criterion on divisibility3
Some q-supercongruences from Gasper’s Karlsson–Minton type summation3
Infinite product representations of some q-series2
A new family of imaginary quadratic fields with class number divisible by 52
On the index of appearance of a Lucas sequence2
A note on the distribution of $$d_3(n)$$ in arithmetic progressions2
Motivic interpretations for iterated integrals on some specific algebraic curves2
On the modularity of elliptic curves over the cyclotomic $${\mathbb {Z}}_p$$-extension of some real quadratic fields2
Even–odd partition identities of Rogers–Ramanujan type2
On strongly asymptotic bases of order h2
On pairs of eight cubes of primes and powers of 22
Some properties of totients2
A Voronoi summation formula for the shifted triple divisor function2
Multiple zeta values, WZ-pairs and infinite sums computations2
A generalized Ramanujan master theorem and integral representations of meromorphic functions2
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields2
Inequalities for sine sums with more variables2
The density of the graph of elliptic Dedekind sums2
Chebyshev’s bias for Fermat curves of prime degree2
Consecutive pure cubic fields with large class number2
Congruences for arithmetic functions2
Elementary proofs of infinite families of congruences for Merca’s cubic partitions2
A note on two of Ramanujan’s mock theta functions2
Remarks on Nahm sums for symmetrizable matrices2
Fourier coefficients of Hilbert modular forms at cusps2
An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis2
Generating functions of the Hurwitz class numbers associated with certain mock theta functions2
On the simultaneous sign changes of Hecke eigenvalues associated with multiple cusp forms2
Integers represented by Lucas sequences2
Discrepancy estimates for some linear generalized monomials at prime arguments2
Mod p modular forms and simple congruences2
Asymptotic expansions for the truncation error in Ramanujan-type series2
Congruence properties for $$(\ell , m)$$-regular bipartitions2
Solutions of $$x_1^2+x_2^2-x_3^2=n^2$$ with small $$x_3$$2
Rational points on algebraic curves in infinite towers of number fields2
On the ideal class group on which the alternating group of degree five acts and special values of Artin L-functions2
Unusual class of polynomials related to partitions2
Modular equations of degrees 13, 29, and 612
Trigonometric analogues of the identities associated with twisted sums of divisor functions2
The powers of Euler’s product and congruences for certain partition functions2
On the sum and the regularized products of some Dirichlet series2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$2
On the solutions of $$x^2= By^p+Cz^p$$ and $$2x^2= By^p+Cz^p$$ over totally real fields2
Dirichlet series and -log 22
On modular transformation of “weight 1 Eisenstein series”2
Some extensions and generalizations of the Frullani integral2
On the distribution of $$\alpha p$$ modulo one in the intersection of two Piatetski–Shapiro sets2
Hardy–Littlewood–Sobolev inequality on the parabolic biangle2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results2
Rooted partitions and number-theoretic functions2
Discrete m-functions with doubly palindromic continued fraction coefficients2
On the occurrence of Hecke eigenvalues in sectors2
Inequalities for the $$M_2$$-rank modulo 12 of partitions without repeated odd parts2
On ranks of quadratic twists of a Mordell curve2
Sums of powers of primes II2
Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra1
On 3-divisibility of 9- and 27-regular partitions1
Diophantine approximation with prime denominator in quadratic number fields under GRH1
Crossed out modular equations of degree 11 of Ramanujan1
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities1
On the resolution of the Diophantine equation $$U_n + U_m = x^q$$1
Menon-type identities with respect to sets of units1
Linear inequalities concerning partitions into distinct parts1
Asymptotics of D(q)-pairs and triples via L-functions of Dirichlet characters1
The partition-frequency enumeration matrix1
Rankin–Cohen brackets of Hilbert Hecke eigenforms1
Asymptotics of reciprocal supernorm partition statistics1
On the coefficients of automorphic representations over polynomials1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$1
A new approach to the Dyson rank conjectures1
Some new Ramanujan-type modular equations of degree 151
On a Tauberian theorem of Ingham and Euler–Maclaurin summation1
Congruences for odd class numbers of quadratic fields with odd discriminant1
Partition congruences and vanishing coefficients of products of theta functions1
On the unit group and the 2-class number of $$\mathbb {Q}(\sqrt{2},\sqrt{p},\sqrt{q})$$1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics1
Harmonic analysis on the positive rationals: computation of character sums1
Hecke-type double sums and the Bailey transform1
Modularity of two double covers of $${\pmb {\mathbb {P}}}^5$$ branched along 12 hyperplanes1
On the divisibility of q-trinomial coefficients1
New evaluations for a certain number-theoretic error term1
Bijections, generalizations, and other properties of sequentially congruent partitions1
A conjecture of Coleman on the Eisenstein family1
Combinatorics of orthogonal polynomials of type $$R_I$$1
Fine Selmer groups and ideal class groups1
Convergent series of integers with missing digits1
On big primitive divisors of Fibonacci numbers1
On Robin’s inequality1
A note of a modular equation of Ramanujan–Selberg continued fraction1
Transcendency of some constants related to integer sequences of polynomial iterations1
On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$1
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$1
A note on simple zeros related to Dedekind zeta functions1
Ideal class groups of imaginary quadratic fields1
Additive evaluations of the number of divisors1
Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts1
Algebraic aspects of rooted tree maps1
Partitions into powers of an algebraic number1
A transformation and certain special values of hypergeometric series over finite fields1
Frobenius distributions of elliptic curves in short intervals on average1
On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials1
Double Eisenstein series and modular forms of level 41
The first negative Fourier coefficient of an Eisenstein series newform1
Partitions into Beatty sequences1
On a ternary Diophantine inequality over primes1
New companions to the generalizations of the Göllnitz–Gordon identities1
Preface1
Sequences in overpartitions1
Partitions into Segal–Piatetski–Shapiro sequences1
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$1
Multiple integral formulas for weighted zeta moments: the case of the sixth moment1
Goldbach–Linnik type problems with mixed powers of primes1
On the distribution of Ramanujan sums over number fields1
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative1
On some hypergeometric supercongruence conjectures of Long1
On Ramanujan’s cubic continued fraction1
On the asymptotics of coefficients associated to l-fold product L-functions and its applications1
Refinement for sequences in partitions1
A superpolynomial version of nonsymmetric Jack polynomials1
Arithmetic statistics and diophantine stability for elliptic curves1
Simultaneous cubic and quadratic diagonal equations in 12 prime variables1
Several q-series transformation formulas and new Hecke–Rogers type series identities1
Zeros of hypergeometric functions in the p-adic setting1
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$1
Extensions to generalizations of hypergeometric and basic hypergeometric functions of inequalities for quotients of hypergeometric functions that arose in research on financing efficiency of securitie1
The k-fold divisor function over Beatty sequences1
Lower bounds for the house in some radical extensions1
On integer partitions and continued fraction type algorithms1
$$\Gamma $$-evaluations of hypergeometric series1
Exponential radii of starlikeness and convexity of some special functions1
A note on an inequality of Paul Turán concerning polynomials1
Self-conjugate $$(s,s+d,\dots ,s+pd)$$-core partitions and free Motzkin paths1
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera1
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l1
On sums of sums involving cube-full numbers1
Direct and inverse approximation theorems connected with the q-Bessel Fourier transform in weighted $$L^2$$ space1
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism1
On derivatives of zeta and L-functions1
A combinatorial proof of q-log-concavity of q-Eulerian numbers1
Congruences for colored partition functions1
Congruences for the coefficients of a pair of third and sixth order mock theta functions1
Positivity and divisibility of enumerators of alternating descents1
Connections between binomial coefficients and binary quadratic forms1
Note on a simple trigonometric equality1
On two double series for $$\pi $$ and their q-analogues1
Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions1
Rahman like polynomials as eigenvectors of certain Markov chains1
On the kth smallest part of a partition into distinct parts1
Reciprocity between partitions and compositions1
Explicit general solution of the squared secant potential and some consequences1
Some determinantal representations of derangement numbers and polynomials1
An asymptotic expansion of the hyberbolic umbilic catastrophe integral1
A Lucas–Lehmer approach to generalised Lebesgue–Ramanujan–Nagell equations1
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$1
Turán inequalities for the broken k-diamond partition functions1
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level1
New generalisation of Jacobi’s derivative formula1
Sums of singular series and primes in short intervals in algebraic number fields1
On Hecke eigenvalues of Ikeda lifts1
Minimal additive complements in finitely generated abelian groups1
Hypergeometric solutions to Schwarzian equations1
A supersingular coincidence1
Divisibility of certain $$\ell $$-regular partitions by 21
Identities on mex-related partitions1
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