Ramanujan Journal

Article	Citations
Weyl-type bounds for twisted GL(2) short character sums	17
A quaternary Diophantine inequality with prime numbers of a special form	15
Palindrome partitions and the Calkin–Wilf tree	14
A note on the exceptional set for Diophantine approximation with mixed powers of primes	11
Discriminants of cubic curves and determinantal representations	10
100 Years of mock theta functions	10
New contiguous relations for a balanced q-series and their applications	9
Galois representations over function fields that are ramified at one prime	9
The log-convexity of the n-th root sequence of the Andrews smallest parts function	9
Rational points on algebraic curves in infinite towers of number fields	9
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions	9
Some multi-sum Rogers–Ramanujan type identities with one parameter	9
On the Diophantine equation Fnx + Fkx = Fmy	8
Streamlined WZ method proofs of Van Hamme supercongruences	8
Log-convexity and the overpartition function	8
Congruence properties for $$(\ell , m)$$-regular bipartitions	8
A bijective proof of Andrews’ refinement of the Alladi-Schur theorem	8
Rankin–Cohen brackets of Hecke eigenforms and shifted convolution series	8
Linear independence of special values of Jacobi-theta constants	8
A note on two of Ramanujan’s mock theta functions	8
Factorized $$A_2$$-Leonard pair	7
Counting multiplicative approximations	7
A generalized Ramanujan master theorem and integral representations of meromorphic functions	7
New inequalities for p(n) and $$\log p(n)$$	7
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free	6

Discrepancy estimates for some linear generalized monomials at prime arguments	6
New generalisation of Jacobi’s derivative formula	6
Diophantine approximation with prime denominator in quadratic number fields under GRH	6
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$	6
The powers of Euler’s product and congruences for certain partition functions	6
On ranks of quadratic twists of a Mordell curve	6
Rahman like polynomials as eigenvectors of certain Markov chains	6
The oscillations of Hecke eigenvalues over arithmetic progressions on certain integral binary quadratic forms	5
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series	5
A generalisation of diophantine tuples	5
Generalizations of Rogers–Ramanujan type identities	5
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field	5
Congruences for the coefficients of a pair of third and sixth order mock theta functions	5
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity	5
Bijections, generalizations, and other properties of sequentially congruent partitions	5
Preface	5
Correction to: Triple Ramanujan sums over number fields	5
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	5
On a generalisation of the minimal excludant function	5
Rankin–Cohen brackets of Hilbert Hecke eigenforms	5
Moments of the generalized Gauss sum weighted by Dirichlet L-functions	5
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables	5
$$p(5n+4)$$ again	4
GBG-rank generating functions for ordinary, self-conjugate, and doubled distinct partitions	4
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative	4
Some determinantal representations of derangement numbers and polynomials	4
On a Diophantine equation involving one Linnik prime	4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity	4
Congruences modulo 49 for partitions with 3-colored odd parts	4
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$	4
A new connection of the Al-Salam-Carlitz polynomials with the Jacobi triple product identity and its implications	4
On the coefficients of automorphic representations over polynomials	4
On restricted approximation measures of Jacobi’s triple product	4
A pair of equations in two prime squares, four prime cubes and powers of two	4
An elementary proof of a theorem of Hardy and Ramanujan	4
Congruences of coefficients in expansions of non-Habiro ring elements	4
New proofs of some double sum Rogers–Ramanujan type identities	4
Distribution of alternating sums of parts in partitions	4
On some determinants involving the tangent function	4
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials	4
Congruence relations satisfied by quaternionic modular forms	4
Some definite integrals of Ramanujan	4
Relating elliptic curve point-counting and solutions of quadratic forms with congruence conditions	3
On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p	3
An equivalent condition for abelian varieties over finite fields to have QM	3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities	3
On limiting distributions of arithmetic functions	3
An expansion of $$(q, \lambda )$$-derivative operator	3
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation	3
Parity of the 8-regular partition function	3

A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials	3
A refinement of the Crank-Mex theorem	3
Arithmetic of Châtelet surfaces under extensions of base fields	3
On the number of p-hypergeometric solutions of KZ equations	3
Certain eta-quotients and $$\ell $$-regular partitions with distinct odd parts	3
On hybrid moments of $$ \Delta _2(x^{2/3}) $$ and $$ \Delta _3(x) $$	3
A q-analogue of Gosper’s strange evaluation of the hypergeometric series	3
A series of definite integrals involving upper incomplete Gamma functions	3
Sums of higher divisor function of diagonal homogeneous forms with prime variables	3
The combinatorics of some two-color partition identities	3
Deviation of the rank and crank modulo 11	3
Correction: Generalized divisor sums and shifted convolutions in $$\boldsymbol{\ell}$$-fold product L-functions	3
On the distribution of $$\alpha p^4$$ modulo one over a thin set of primes	3
A bijective look at gapfree partitions: between local and global	3
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials	3
On algebraic twists with composite moduli	3
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime	3
On p-divisibility of Fourier coefficients of Siegel modular forms	3
On the congruences of Eisenstein series with polynomial indexes	3
Ramanujan’s approximation to the exponential function and generalizations	3
Composition-theoretic series in partition theory	3
Diamonds in the Langlands program: a comprehensive review	3
The asymptotic distribution of the Fourier coefficients of symmetric power L-function over sparse sequences	3
Gaussian hypergeometric functions and cyclotomic matrices	3
Integer matrix exact covering systems and k-colored generalized Frobenius partitions	3
Negative real moments of restricted factors in arithmetic progression	3
Hypergeometric functions over finite fields	3
Non-archimedean analytic singular homology based on cosimplicial perfectoid spaces and integration along cycles	3
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem	3
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	3
Trace and norm of indecomposable integers in cubic orders	3
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus	3
Additive representations of natural numbers	3
Almost primes of the form $$[p^{1/\gamma }]$$	3
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$	3
Integral representation and computational properties of the incomplete Fox–Wright function	3
A Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann–Papperitz system	2
Some problems about friable numbers in Piatetski-Shapiro sequence	2
Value sets of non-permutation polynomials over the residue class rings of integers	2
On the convolutions of sums of multiple zeta(-star) values of height one	2
Points of bounded height on weighted projective spaces over global function fields	2
Correction to: On a sum involving certain arithmetic functions and the integral part function	2
Summation formulas for a class of terminating $$_4\phi _3$$-series	2
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	2
On the positivity of a certain function related with the Digamma function	2
A generalization of Markov Numbers	2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes	2
Triple Ramanujan sums over number fields	2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2
Exact formula for cubic partitions	2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results	2
A new entire factorial function	2
Primes in the intersection of two Piatetski–Shapiro sets	2
The upper bound on sums of three squareful numbers	2
A monstrous integral	2
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$	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 the structure of sets in a residue class ring with identical representation functions	2
Superior highly composite numbers and the explicit upper bound of generalized divisor functions	2
On two double series for $$\pi $$ and their q-analogues	2
On a divisor problem associated to Dedekind zeta function over certain quadratic forms	2
Partitions into powers of an algebraic number	2
A short proof of the Kohnen-Zagier formula for Maass forms for $$\Gamma _0(4)$$	2
How often are $$\lfloor n^{\alpha }\rfloor $$ and $$\lfloor n^{\beta }\rfloor $$ simultaneously primes?	2
A newform theory for mod-p Katz modular forms	2
Andrews-beck partition statistics for modular partitions	2
More supercongruences for the truncated Appell series $$F_{1}$$ and $$F_{4}$$	2
Explicit families of congruences for the overpartition function	2
Correction: On variants of Chebyshev’s conjecture	2
Bilateral Bailey pairs and Rogers–Ramanujan type identities	2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	2
On the Northcott property of Dedekind zeta functions	2
Extended Weil representations: the finite field cases	2
Multiplicative functions supported on the k-free integers with small partial sums	2
On a variant of the classical multiplicity one theorem	2
Evaluation of certain convolution sums involving the sum of the divisors function	2
Divisibility of certain $$\ell $$-regular partitions by 2	2
Spectral exponential sums on hyperbolic surfaces	2
Sums of the kth divisor function of the ternary quadratic with prime variables	2
A conjecture of Coleman on the Eisenstein family	2

Correction to: Exact formula for cubic partitions	2
Homogeneous spaces of semidirect products and finite Gelfand pairs	2
New mock theta conjectures part II	2
A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions	2
The geodesic continued fraction for Shimura curves and its periodicity: the case of the (2, 3, 7)-triangle group	2
Double Eisenstein series and modular forms of level 4	2
Rogers–Ramanujan moment bias	2
Two WP–Bailey lattices over the root system $$A_n$$ and their applications	2
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	2
Motivic interpretations for iterated integrals on some specific algebraic curves	2
Correction: Consecutive pure cubic fields with large class number	2
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	2
Ramanujan–Fine integrals for level 10	2
Partition-theoretic interpretations of some truncated sums of integer partitions	2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	2
A combinatorial interpretation of Mahonian numbers of types B and D	2
On the number of solutions to the generalized Ramanujan–Nagell equation	2
Moments of the argument of automorphic L-functions for $$GL_2$$	2
The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function	2
On a formula of the q-series $$_{2k+4}\phi _{2k+3}$$ and its applications	2
Partition congruences and vanishing coefficients of products of theta functions	2
Euler’s Criterion for prime order in some least non-PID cases	2
Computer-assisted construction of Ramanujan–Sato series for 1 over $$\pi $$	2
Analytic properties of an orthogonal Fourier–Jacobi Dirichlet series	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	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
A combinatorial proof of q-log-concavity of q-Eulerian numbers	2
Sums of k-th powers and Fourier coefficients of cusp forms	2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	2
Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map	2
The k-fold divisor function over Beatty sequences	2
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields	2
A lower bound for the discrepancy in a Sato–Tate type measure	1
On Fourier coefficients associated to automorphic L-functions over a binary quadratic form and its applications	1
Multimodal sequences and their generating functions	1
Interpolant of truncated multiple zeta functions	1
On values of Ramanujan’s tau function involving two prime factors	1
Strong Frobenius structures associated with q-difference operators	1
End behavior of Ramanujan’s Taxicab numbers	1
On the correlations between character sums of division polynomials under shifts	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
Additive evaluations of the number of divisors	1
On the power moments of hybrid arithmetic functions associated with the Hecke eigenvalues	1
Schneider’s p-adic continued fractions of rational numbers	1
Weighted sum formulas for symmetric multiple zeta values	1
The convolution sums of MacMahon’s q-series	1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	1
On signatures of elliptic curves and modular forms	1
Sums of logarithmic weights involving r-full numbers	1
On some integrals involving the general divisor problem	1
New evaluations for a certain number-theoretic error term	1
Unusual class of polynomials related to partitions	1
A q-analog of the Stirling–Eulerian Polynomials	1
Asymptotic formula of Fourier coefficients of cusp forms over sum of two squares	1
New parity results for the 17-regular partition function	1
On Gerth’s heuristics for a family of quadratic extensions of certain Galois number fields	1
A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Algebraic aspects of rooted tree maps	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Alternating multiple T-values: weighted sums, duality, and dimension conjecture	1
On pairs of eight cubes of primes and powers of 2	1
Real quadratic fields with odd class number divisible by 3	1
Stirling polynomials and multiple zeta (star) functions at non-positive integers	1
The density of the graph of elliptic Dedekind sums	1
Class number relations in almost abelian number fields	1
On certain McKay numbers of symmetric groups	1
Correction: Arithmetic properties of MacMahon-type sums of divisors	1
A note on sumsets of progression-free sets	1
Cycle integrals of meromorphic modular forms and Siegel theta functions	1
Spectral moments of the real Ginibre ensemble	1
On concatenations of two repdigits in second-order Lucas sequences	1
Sums of S-units in sum of terms of recurrence sequences	1
Double interlacing between zeros of modular forms	1
Small prime solutions of equation with two primes and one k-th power of prime	1
Correction: Limit theorems for Andrews’ restricted overpartitions	1
A generalization of Franklin’s partition identity and a Beck-type companion identity	1
Moment duality for orthogonal polynomials	1
Partitions with multiplicity constraints	1
Hausdorff dimension of sets of continued fractions with bounded odd and even order partial quotients	1
Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity	1
Two generalizations of Jacobi’s triple product identity and their applications	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
On certain cyclotomic matrices involving biquadratic residues	1
A congruence family modulo powers of 5 for generalized cubic partitions via the localization method	1
A note on the distribution of $$d_3(n)$$ in arithmetic progressions	1
Correction to: The first negative Fourier coefficient of an Eisenstein series newform	1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$	1
Algebraicity of critical values of adjoint L-functions for $$\mathrm{GSp}_4$$	1
On the Mordell–Weil rank and 2-Selmer group of a family of elliptic curves	1
Sign behaviour of sums of weighted numbers of partitions	1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme	1