Ramanujan Journal

Article	Citations
A quaternary Diophantine inequality with prime numbers of a special form	13
Weyl-type bounds for twisted GL(2) short character sums	13
Palindrome partitions and the Calkin–Wilf tree	12
A note on the exceptional set for Diophantine approximation with mixed powers of primes	10
Galois representations over function fields that are ramified at one prime	9
100 Years of mock theta functions	9
Counting multiplicative approximations	9
Discriminants of cubic curves and determinantal representations	9
Rational points on algebraic curves in infinite towers of number fields	9
New contiguous relations for a balanced q-series and their applications	8
On the Diophantine equation Fnx + Fkx = Fmy	8
Factorized $$A_2$$-Leonard pair	8
Congruence properties for $$(\ell , m)$$-regular bipartitions	8
The log-convexity of the n-th root sequence of the Andrews smallest parts function	8
Some multi-sum Rogers–Ramanujan type identities with one parameter	8
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions	8
Linear independence of special values of Jacobi-theta constants	7
Rankin–Cohen brackets of Hecke eigenforms and shifted convolution series	7
Log-convexity and the overpartition function	7
A note on two of Ramanujan’s mock theta functions	7
New inequalities for p(n) and $$\log p(n)$$	7
Streamlined WZ method proofs of Van Hamme supercongruences	7
A generalized Ramanujan master theorem and integral representations of meromorphic functions	7
Diophantine approximation with prime denominator in quadratic number fields under GRH	6
The powers of Euler’s product and congruences for certain partition functions	6

Sums of singular series and primes in short intervals in algebraic number fields	6
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free	6
Reciprocity between partitions and compositions	6
Discrepancy estimates for some linear generalized monomials at prime arguments	6
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity	6
A new approach to the Dyson rank conjectures	6
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$	5
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series	5
New generalisation of Jacobi’s derivative formula	5
A note of a modular equation of Ramanujan–Selberg continued fraction	5
Rahman like polynomials as eigenvectors of certain Markov chains	5
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$	5
Correction to: Triple Ramanujan sums over number fields	5
Congruences for the coefficients of a pair of third and sixth order mock theta functions	5
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	5
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables	4
Some definite integrals of Ramanujan	4
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials	4
Bijections, generalizations, and other properties of sequentially congruent partitions	4
On ranks of quadratic twists of a Mordell curve	4
The oscillations of Hecke eigenvalues over arithmetic progressions on certain integral binary quadratic forms	4
An elementary proof of a theorem of Hardy and Ramanujan	4
On some determinants involving the tangent function	4
On a Diophantine equation involving one Linnik prime	4
On the coefficients of automorphic representations over polynomials	4
Preface	4
Rankin–Cohen brackets of Hilbert Hecke eigenforms	4
A pair of equations in two prime squares, four prime cubes and powers of two	4
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field	4
Some determinantal representations of derangement numbers and polynomials	4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity	4
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative	4
Congruence relations satisfied by quaternionic modular forms	4
Generalizations of Rogers–Ramanujan type identities	4
On a generalisation of the minimal excludant function	4
Moments of the generalized Gauss sum weighted by Dirichlet L-functions	4
On restricted approximation measures of Jacobi’s triple product	4
On the number of p-hypergeometric solutions of KZ equations	3
Distribution of alternating sums of parts in partitions	3
Diamonds in the Langlands program: a comprehensive review	3
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus	3
On p-divisibility of Fourier coefficients of Siegel modular forms	3
On the congruences of Eisenstein series with polynomial indexes	3
On the positivity of a certain function related with the Digamma function	3
Hypergeometric functions over finite fields	3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities	3
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$	3
Congruences modulo 49 for partitions with 3-colored odd parts	3
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials	3
Integral representation and computational properties of the incomplete Fox–Wright function	3

Integer matrix exact covering systems and k-colored generalized Frobenius partitions	3
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime	3
Arithmetic of Châtelet surfaces under extensions of base fields	3
Almost primes of the form $$[p^{1/\gamma }]$$	3
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem	3
Parity of the 8-regular partition function	3
An expansion of $$(q, \lambda )$$-derivative operator	3
Congruences of coefficients in expansions of non-Habiro ring elements	3
GBG-rank generating functions for ordinary, self-conjugate, and doubled distinct partitions	3
Deviation of the rank and crank modulo 11	3
On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p	3
Trace and norm of indecomposable integers in cubic orders	3
Sums of higher divisor function of diagonal homogeneous forms with prime variables	3
On the Northcott property of Dedekind zeta functions	3
Additive representations of natural numbers	3
Certain eta-quotients and $$\ell $$-regular partitions with distinct odd parts	3
A refinement of the Crank-Mex theorem	3
Composition-theoretic series in partition theory	3
New proofs of some double sum Rogers–Ramanujan type identities	3
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$	3
On the distribution of $$\alpha p^4$$ modulo one over a thin set of primes	3
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	2
Divisibility of certain $$\ell $$-regular partitions by 2	2
Explicit families of congruences for the overpartition function	2
Rogers–Ramanujan moment bias	2
The modular differential equation for skew-holomorphic Jacobi forms	2
Partition congruences and vanishing coefficients of products of theta functions	2
On algebraic twists with composite moduli	2
Some problems about friable numbers in Piatetski-Shapiro sequence	2
Ramanujan’s approximation to the exponential function and generalizations	2
Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map	2
Ramanujan–Fine integrals for level 10	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
An equivalent condition for abelian varieties over finite fields to have QM	2
The upper bound on sums of three squareful numbers	2
Non-archimedean analytic singular homology based on cosimplicial perfectoid spaces and integration along cycles	2
Extended Weil representations: the finite field cases	2
Sums of the kth divisor function of the ternary quadratic with prime variables	2
Superior highly composite numbers and the explicit upper bound of generalized divisor functions	2
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	2
Negative real moments of restricted factors in arithmetic progression	2
A combinatorial proof of q-log-concavity of q-Eulerian numbers	2
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions	2
Tight upper and lower bounds for the reciprocal sum of Proth primes	2
A Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann–Papperitz system	2
Sums of k-th powers and Fourier coefficients of cusp forms	2
Double Eisenstein series and modular forms of level 4	2
On a variant of the classical multiplicity one theorem	2
A short proof of the Kohnen-Zagier formula for Maass forms for $$\Gamma _0(4)$$	2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	2
Partitions into powers of an algebraic number	2
Evaluation of certain convolution sums involving the sum of the divisors function	2
Triple Ramanujan sums over number fields	2
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials	2
Spectral exponential sums on hyperbolic surfaces	2
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation	2
Homogeneous spaces of semidirect products and finite Gelfand pairs	2
On limiting distributions of arithmetic functions	2
On a divisor problem associated to Dedekind zeta function over certain quadratic forms	2
Gaussian hypergeometric functions and cyclotomic matrices	2
Two WP–Bailey lattices over the root system $$A_n$$ and their applications	2
A combinatorial interpretation of Mahonian numbers of types B and D	2
Exact formula for cubic partitions	2
Correction to: Exact formula for cubic partitions	2
Correction: On variants of Chebyshev’s conjecture	2
New mock theta conjectures part II	2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results	2
A new family of imaginary quadratic fields with class number divisible by 5	2
Expansions over Legendre polynomials and infinite double series identities	2
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields	2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	2
The k-fold divisor function over Beatty sequences	2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2
On the structure of sets in a residue class ring with identical representation functions	2
Moments of the argument of automorphic L-functions for $$GL_2$$	2
On two double series for $$\pi $$ and their q-analogues	2
Value sets of non-permutation polynomials over the residue class rings of integers	2
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	2
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	2
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	2

The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function	2
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$	2
A bijective look at gapfree partitions: between local and global	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
Correction: Consecutive pure cubic fields with large class number	2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes	2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	2
The geodesic continued fraction for Shimura curves and its periodicity: the case of the (2, 3, 7)-triangle group	2
A conjecture of Coleman on the Eisenstein family	2
A monstrous integral	2
A new entire factorial function	2
On sums of sums involving cube-full numbers	2
Points of bounded height on weighted projective spaces over global function fields	2
Motivic interpretations for iterated integrals on some specific algebraic curves	2
Bivariate asymptotics for eta-theta quotients with simple poles	1
Algebraicity of critical values of adjoint L-functions for $$\mathrm{GSp}_4$$	1
On some integrals involving the general divisor problem	1
Density results and congruences for an analogue of t-core partitions	1
Cycle integrals of meromorphic modular forms and Siegel theta functions	1
Sign behaviour of sums of weighted numbers of partitions	1
A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields	1
Sums of squares of integral multiples of an integral element of real bi-quadratic fields	1
An infinite family of overpartition congruences mod powers of 2	1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	1
Generalizations of the truncated pentagonal number theorem results	1
Two generalizations of Jacobi’s triple product identity and their applications	1
Cubic theta functions and modular forms of level six	1
Sum formula for multiple zeta function	1
On a function of Ramanujan twisted by a logarithm	1
On a ternary Diophantine inequality over primes	1
A note on the distribution of $$d_3(n)$$ in arithmetic progressions	1
Moment duality for orthogonal polynomials	1
Alternating multiple T-values: weighted sums, duality, and dimension conjecture	1
Additive evaluations of the number of divisors	1
Finding congruences with the WZ method	1
On the convolutions of sums of multiple zeta(-star) values of height one	1
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities	1
Strong Frobenius structures associated with q-difference operators	1
Additive decompositions of cubes in finite fields	1
Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity	1
A lower bound for the discrepancy in a Sato–Tate type measure	1
Ramanujan’s taxicab number and its ilk	1
A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$	1
Spectral moments of the real Ginibre ensemble	1
Dynamical structure of AGM over finite fields with order congruent to $$5 \bmod 8$$	1
End behavior of Ramanujan’s Taxicab numbers	1
Andrews-Beck type congruences modulo powers of 5	1
Congruences for a class of eta-quotients and their applications	1
Schneider’s p-adic continued fractions of rational numbers	1
Overpartition analogues of q-bi$$^{s}$$nomial coefficients: basic properties and log-concavity	1
Double interlacing between zeros of modular forms	1
On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power L-Functions	1
On proportionally modular numerical semigroups of embedding dimension three	1
Unusual class of polynomials related to partitions	1
On certain McKay numbers of symmetric groups	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
The density of the graph of elliptic Dedekind sums	1
On values of Ramanujan’s tau function involving two prime factors	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Hausdorff dimension of sets of continued fractions with bounded odd and even order partial quotients	1
Bilateral Bailey pairs and Rogers–Ramanujan type identities	1
The convolution sums of MacMahon’s q-series	1
On signatures of elliptic curves and modular forms	1
Summation formulas for a class of terminating $$_4\phi _3$$-series	1
Multimodal sequences and their generating functions	1
On certain cyclotomic matrices involving biquadratic residues	1
Two prime squares, four prime cubes and powers of 2	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
A note on sumsets of progression-free sets	1
Signs behaviour of sums of weighted numbers of compositions	1
Sums of logarithmic weights involving r-full numbers	1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$	1
On a sum involving certain arithmetic functions and the integral part function	1
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry	1
New evaluations for a certain number-theoretic error term	1
Non-$$\pi /3(2\pi /3)$$-congruent numbers and quadratic forms	1
A q-analog of the Stirling–Eulerian Polynomials	1
On the size of the Fourier coefficients of Hilbert cusp forms	1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Fourier coefficients of the triple product L-function over sparse sets	1
Algebraic aspects of rooted tree maps	1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	1
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	1
Weighted sum formulas for symmetric multiple zeta values	1
A new Andrews–Crandall-type identity and the number of integer solutions to $$x^2+2y^2+2z^2=n$$	1
On the correlations between character sums of division polynomials under shifts	1
Partitions with multiplicity constraints	1
Multiplicative functions supported on the k-free integers with small partial sums	1
Correction: Arithmetic properties of MacMahon-type sums of divisors	1
Real quadratic fields with odd class number divisible by 3	1
Modularity of some Nahm sums as vector-valued functions	1
On pairs of eight cubes of primes and powers of 2	1
New parity results for the 17-regular partition function	1