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	16
Palindrome partitions and the Calkin–Wilf tree	14
A note on the exceptional set for Diophantine approximation with mixed powers of primes	11
The log-convexity of the n-th root sequence of the Andrews smallest parts function	10
Galois representations over function fields that are ramified at one prime	10
100 Years of mock theta functions	10
New contiguous relations for a balanced q-series and their applications	9
Linear independence of special values of Jacobi-theta constants	9
On the Diophantine equation Fnx + Fkx = Fmy	9
A bijective proof of Andrews’ refinement of the Alladi-Schur theorem	9
Congruence properties for $$(\ell , m)$$-regular bipartitions	9
Streamlined WZ method proofs of Van Hamme supercongruences	9
New inequalities for p(n) and $$\log p(n)$$	8
Counting multiplicative approximations	8
A note on two of Ramanujan’s mock theta functions	8
Factorized $$A_2$$-Leonard pair	8
Rankin–Cohen brackets of Hecke eigenforms and shifted convolution series	8
J-generalization of the Rogers–Ramanujan–Gordon identities via commutative algebra	7
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions	7
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free	7
Some multi-sum Rogers–Ramanujan type identities with one parameter	7
Diophantine approximation with prime denominator in quadratic number fields under GRH	7
Symplectic Eichler criterion	7
A generalized Ramanujan master theorem and integral representations of meromorphic functions	7

Discrepancy estimates for some linear generalized monomials at prime arguments	7
A generalisation of diophantine tuples	6
Rankin–Cohen brackets of Hilbert Hecke eigenforms	6
Rahman like polynomials as eigenvectors of certain Markov chains	6
Congruences for the coefficients of a pair of third and sixth order mock theta functions	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	5
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
Bijections, generalizations, and other properties of sequentially congruent partitions	5
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials	5
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	5
Moments of the generalized Gauss sum weighted by Dirichlet L-functions	5
An elementary proof of a theorem of Hardy and Ramanujan	5
Congruence relations satisfied by quaternionic modular forms	5
Generalizations of Rogers–Ramanujan type identities	5
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity	5
On a generalisation of the minimal excludant function	5
Correction to: Triple Ramanujan sums over number fields	5
Preface	5
A pair of equations in two prime squares, four prime cubes and powers of two	5
New proofs of some double sum Rogers–Ramanujan type identities	4
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials	4
On the congruences of Eisenstein series with polynomial indexes	4
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$	4
On a Diophantine equation involving one Linnik prime	4
GBG-rank generating functions for ordinary, self-conjugate, and doubled distinct partitions	4
On restricted approximation measures of Jacobi’s triple product	4
On the coefficients of automorphic representations over polynomials	4
On the number of p-hypergeometric solutions of KZ equations	4
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$	4
Congruences of coefficients in expansions of non-Habiro ring elements	4
On some determinants involving the tangent function	4
Some definite integrals of Ramanujan	4
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field	4
A new connection of the Al-Salam-Carlitz polynomials with the Jacobi triple product identity and its implications	4
Distribution of alternating sums of parts in partitions	4
$$p(5n+4)$$ again	4
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative	4
Ohno relation for regularized refined symmetric multiple zeta values	4
Some determinantal representations of derangement numbers and polynomials	4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity	4
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables	4
Congruences modulo 49 for partitions with 3-colored odd parts	4
On hybrid moments of $$ \Delta _2(x^{2/3}) $$ and $$ \Delta _3(x) $$	4
The asymptotic distribution of the Fourier coefficients of symmetric power L-function over sparse sequences	3
On the Northcott property of Dedekind zeta functions	3
A q-analogue of Gosper’s strange evaluation of the hypergeometric series	3
Negative real moments of restricted factors in arithmetic progression	3
Deviation of the rank and crank modulo 11	3

Non-archimedean analytic singular homology based on cosimplicial perfectoid spaces and integration along cycles	3
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime	3
Parity of the 8-regular partition function	3
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	3
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus	3
Additive representations of natural numbers	3
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation	3
Polynomial augmentation for Ramanujan’s q-beta integral and related expansions of Ramanujan’s Master Theorem	3
Certain eta-quotients and $$\ell $$-regular partitions with distinct odd parts	3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities	3
A combinatorial interpretation of Mahonian numbers of types B and D	3
Composition-theoretic series in partition theory	3
On limiting distributions of arithmetic functions	3
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem	3
On the positivity of a certain function related with the Digamma function	3
On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p	3
A refinement of the Crank-Mex theorem	3
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials	3
Arithmetic of Châtelet surfaces under extensions of base fields	3
An expansion of $$(q, \lambda )$$-derivative operator	3
Trace and norm of indecomposable integers in cubic orders	3
The combinatorics of some two-color partition identities	3
Relating elliptic curve point-counting and solutions of quadratic forms with congruence conditions	3
A bijective look at gapfree partitions: between local and global	3
Hypergeometric functions over finite fields	3
Correction: Generalized divisor sums and shifted convolutions in $$\boldsymbol{\ell}$$-fold product L-functions	3
Integer matrix exact covering systems and k-colored generalized Frobenius partitions	3
On the distribution of $$\alpha p^4$$ modulo one over a thin set of primes	3
Ramanujan’s approximation to the exponential function and generalizations	3
Diamonds in the Langlands program: a comprehensive review	3
On algebraic twists with composite moduli	3
On p-divisibility of Fourier coefficients of Siegel modular forms	3
Sums of higher divisor function of diagonal homogeneous forms with prime variables	3
Almost primes of the form $$[p^{1/\gamma }]$$	3
On a formula of the q-series $$_{2k+4}\phi _{2k+3}$$ and its applications	2
How often are $$\lfloor n^{\alpha }\rfloor $$ and $$\lfloor n^{\beta }\rfloor $$ simultaneously primes?	2
Andrews-beck partition statistics for modular partitions	2
Explicit families of congruences for the overpartition function	2
Summation formulas for a class of terminating $$_4\phi _3$$-series	2
Superior highly composite numbers and the explicit upper bound of generalized divisor functions	2
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	2
Modularity of some Nahm sums as vector-valued functions	2
A series of definite integrals involving upper incomplete Gamma functions	2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	2
Piatetski-Shapiro primes in arithmetic progressions	2
Ramanujan–Fine integrals for level 10	2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results	2
Double Eisenstein series and modular forms of level 4	2
Sums of the kth divisor function of the ternary quadratic with prime variables	2
Analytic properties of an orthogonal Fourier–Jacobi Dirichlet series	2
Correction to: Exact formula for cubic partitions	2
A Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann–Papperitz system	2
The geodesic continued fraction for Shimura curves and its periodicity: the case of the (2, 3, 7)-triangle group	2
On the structure of sets in a residue class ring with identical representation functions	2
Correction to: On a sum involving certain arithmetic functions and the integral part function	2
A combinatorial proof of q-log-concavity of q-Eulerian numbers	2
A new family of imaginary quadratic fields with class number divisible by 5	2
A short proof of the Kohnen-Zagier formula for Maass forms for $$\Gamma _0(4)$$	2
A newform theory for mod-p Katz modular forms	2
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	2
Two WP–Bailey lattices over the root system $$A_n$$ and their applications	2
Partition-theoretic interpretations of some truncated sums of integer partitions	2
Correction: On variants of Chebyshev’s conjecture	2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes	2
Points of bounded height on weighted projective spaces over global function fields	2
On the number of solutions to the generalized Ramanujan–Nagell equation	2
An equivalent condition for abelian varieties over finite fields to have QM	2
Moments of the argument of automorphic L-functions for $$GL_2$$	2
Characterizations of congruences modulo 2 and 4 for the number of smallest parts in overpartitions with smallest part even	2
The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function	2
On a variant of the classical multiplicity one theorem	2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	2
Computer-assisted construction of Ramanujan–Sato series for 1 over $$\pi $$	2
Spectral exponential sums on hyperbolic surfaces	2
More supercongruences for the truncated Appell series $$F_{1}$$ and $$F_{4}$$	2
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis	2
Partitions into powers of an algebraic number	2
Expansions over Legendre polynomials and infinite double series identities	2
A conjecture of Coleman on the Eisenstein family	2
Sums of k-th powers and Fourier coefficients of cusp forms	2

Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map	2
Exact formula for cubic partitions	2
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields	2
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	2
Partition congruences and vanishing coefficients of products of theta functions	2
Multiplicative functions supported on the k-free integers with small partial sums	2
Rogers–Ramanujan moment bias	2
Correction: Consecutive pure cubic fields with large class number	2
Value sets of non-permutation polynomials over the residue class rings of integers	2
The k-fold divisor function over Beatty sequences	2
New mock theta conjectures part II	2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	2
A generalization of Markov Numbers	2
Gaussian hypergeometric functions and cyclotomic matrices	2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2
A note on lower bounds in Szemerédi’s theorem with random differences	2
Evaluation of certain convolution sums involving the sum of the divisors function	2
Euler’s Criterion for prime order in some least non-PID cases	2
Bilateral Bailey pairs and Rogers–Ramanujan type identities	2
A new entire factorial function	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
On two double series for $$\pi $$ and their q-analogues	2
A monstrous integral	2
Primes in the intersection of two Piatetski–Shapiro sets	2
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions	2
Homogeneous spaces of semidirect products and finite Gelfand pairs	2
Extended Weil representations: the finite field cases	2
On a divisor problem associated to Dedekind zeta function over certain quadratic forms	2
A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions	2
Motivic interpretations for iterated integrals on some specific algebraic curves	2
Some problems about friable numbers in Piatetski-Shapiro sequence	2
Triple Ramanujan sums over number fields	2
The upper bound on sums of three squareful numbers	2
Partitions with multiplicity constraints	1
On concatenations of two repdigits in second-order Lucas sequences	1
Small prime solutions of equation with two primes and one k-th power of prime	1
Stirling polynomials and multiple zeta (star) functions at non-positive integers	1
Additive evaluations of the number of divisors	1
Class number relations in almost abelian number fields	1
The density of the graph of elliptic Dedekind sums	1
A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$	1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$	1
End behavior of Ramanujan’s Taxicab numbers	1
New parity results for the 17-regular partition function	1
Asymptotics and inequalities for the broken k-diamond partition function	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
A q-analog of the Stirling–Eulerian Polynomials	1
Interpolant of truncated multiple zeta functions	1
Moment duality for orthogonal polynomials	1
An equation involving prime numbers and one Linnik prime	1
Spectral moments of the real Ginibre ensemble	1
Elliptic curves over a finite field with a specified subgroup and the trace formula	1
Parity results for higher order SPT-functions of overpartitions	1
Unusual class of polynomials related to partitions	1
Iwasawa module of the cyclotomic $$\mathbb {Z}_{2}$$-extension of certain real quadratic fields	1
On the Mordell–Weil rank and 2-Selmer group of a family of elliptic curves	1
Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity	1
A congruence family modulo powers of 5 for generalized cubic partitions via the localization method	1
On certain cyclotomic matrices involving biquadratic residues	1
Correction to: The first negative Fourier coefficient of an Eisenstein series newform	1
A note on the distribution of $$d_3(n)$$ in arithmetic progressions	1
Sums of logarithmic weights involving r-full numbers	1
On some integrals involving the general divisor problem	1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme	1
Sign behaviour of sums of weighted numbers of partitions	1
On the non-transversality of the hyperelliptic locus and the supersingular locus for $$g=3$$	1
Sums of S-units in sum of terms of recurrence sequences	1
Correction: Arithmetic properties of MacMahon-type sums of divisors	1
On Gerth’s heuristics for a family of quadratic extensions of certain Galois number fields	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
Universality of the zeta function in short intervals	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Congruence conditions for the mod $$\lambda $$ values of the Fourier coefficients of classical eigenforms	1
The integer group determinants for the groups of order 18	1
Correction: Limit theorems for Andrews’ restricted overpartitions	1
On pairs of eight cubes of primes and powers of 2	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Schneider’s p-adic continued fractions of rational numbers	1
Real quadratic fields with odd class number divisible by 3	1
The convolution sums of MacMahon’s q-series	1
Weighted sum formulas for symmetric multiple zeta values	1
On the existence of the maximal unramified pro-2-extension over the cyclotomic $$\mathbb {Z}_2$$-extension with prescribed metacyclic Galois group	1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	1
Cycle integrals of meromorphic modular forms and Siegel theta functions	1
A note on sumsets of progression-free sets	1
Double interlacing between zeros of modular forms	1
New evaluations for a certain number-theoretic error term	1
On certain McKay numbers of symmetric groups	1
On signs of Hecke eigenvalues of Ikeda lifts	1
Multimodal sequences and their generating functions	1
A generalization of Franklin’s partition identity and a Beck-type companion identity	1
Algebraic aspects of rooted tree maps	1
Sign changes of Fourier coefficients of $$SL(2,\mathbb {Z})$$ Hecke–Maass forms at sum of two squares	1
The three missing terms in Ramanujan’s septic theta function identity	1
A lower bound for the discrepancy in a Sato–Tate type measure	1