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	14
Palindrome partitions and the Calkin–Wilf tree	12
A note on the exceptional set for Diophantine approximation with mixed powers of primes	11
Galois representations over function fields that are ramified at one prime	10
100 Years of mock theta functions	10
The log-convexity of the n-th root sequence of the Andrews smallest parts function	10
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
On the Diophantine equation Fnx + Fkx = Fmy	9
Linear independence of special values of Jacobi-theta constants	9
Counting multiplicative approximations	8
Some multi-sum Rogers–Ramanujan type identities with one parameter	8
Rankin–Cohen brackets of Hecke eigenforms and shifted convolution series	8
Symplectic Eichler criterion	8
On units of real triquadratic fields and the second 2-class group of certain cyclotomic $$\mathbb {Z}_2$$-extensions	8
Factorized $$A_2$$-Leonard pair	8
A note on two of Ramanujan’s mock theta functions	8
J-generalization of the Rogers–Ramanujan–Gordon identities via commutative algebra	8
New contiguous relations for a balanced q-series and their applications	7
Infinitely many cubic points on $$X_0(N)/\langle w_d\rangle $$ with N square-free	7
New inequalities for p(n) and $$\log p(n)$$	7
Diophantine approximation with prime denominator in quadratic number fields under GRH	7
Interlacing of zeros of the Poincaré series for $$\Gamma _0^+(2)$$	6

Rahman like polynomials as eigenvectors of certain Markov chains	6
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	6
Discrepancy estimates for some linear generalized monomials at prime arguments	6
The powers of Euler’s product and congruences for certain partition functions	6
A generalisation of diophantine tuples	6
Rankin–Cohen brackets of Hilbert Hecke eigenforms	6
Congruences for the coefficients of a pair of third and sixth order mock theta functions	6
Generalizations of Rogers–Ramanujan type identities	5
The oscillations of Hecke eigenvalues over arithmetic progressions on certain integral binary quadratic forms	5
Correction: Cubic and quintic analogues of Ramanujan’s septic theta function identity	5
Multivariate Krawtchouk and Meixner polynomials as birth and death polynomials	5
An elementary proof of a theorem of Hardy and Ramanujan	5
Congruences modulo 49 for partitions with 3-colored odd parts	5
On a generalisation of the minimal excludant function	5
Moments of the generalized Gauss sum weighted by Dirichlet L-functions	5
A generalized Ramanujan master theorem and integral representations of meromorphic functions	5
Congruence relations satisfied by quaternionic modular forms	5
On restricted approximation measures of Jacobi’s triple product	5
A new connection of the Al-Salam-Carlitz polynomials with the Jacobi triple product identity and its implications	5
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series	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
GBG-rank generating functions for ordinary, self-conjugate, and doubled distinct partitions	5
Bijections, generalizations, and other properties of sequentially congruent partitions	5
The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$	4
Arithmetic properties and asymptotic formulae for $$\sigma _o\text {mex}(n)$$ and $$\sigma _e\text {mex}(n)$$	4
On the coefficients of automorphic representations over polynomials	4
A new $$ _3\phi _2$$-series transformation related to the Weierstrass theta identity	4
Finiteness of Selmer groups associated to degree zero cycles on an abelian variety over a global function field	4
$$p(5n+4)$$ again	4
On some determinants involving the tangent function	4
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime	4
On the congruences of Eisenstein series with polynomial indexes	4
Proofs of some conjectures of Merca on congruences modulo 3 for the sum of the parts congruent to 0 modulo m	4
New proofs of some double sum Rogers–Ramanujan type identities	4
Distribution of alternating sums of parts in partitions	4
Congruences of coefficients in expansions of non-Habiro ring elements	4
The Furstenberg–Sárközy theorem for polynomials in one or more prime variables	4
A refinement of the Crank-Mex theorem	4
Parity of the 8-regular partition function	4
Additive representations of natural numbers	4
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials	4
On the number of p-hypergeometric solutions of KZ equations	4
Some determinantal representations of derangement numbers and polynomials	4
Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative	4
On a Diophantine equation involving one Linnik prime	4
On hybrid moments of $$ \Delta _2(x^{2/3}) $$ and $$ \Delta _3(x) $$	4
Some definite integrals of Ramanujan	4
Ohno relation for regularized refined symmetric multiple zeta values	4

Diamonds in the Langlands program: a comprehensive review	4
On the distribution of $$\alpha p^4$$ modulo one over a thin set of primes	4
Gaussian hypergeometric functions and cyclotomic matrices	3
On the Northcott property of Dedekind zeta functions	3
On the variant $$Q\left(n!\right)=P\left(x\right)$$ of the Brocard–Ramanujan Diophantine equation	3
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials	3
Arithmetic constraints on hypergeometric identities	3
The asymptotic distribution of the Fourier coefficients of symmetric power L-function over sparse sequences	3
An expansion of $$(q, \lambda )$$-derivative operator	3
Trace and norm of indecomposable integers in cubic orders	3
Integer matrix exact covering systems and k-colored generalized Frobenius partitions	3
Composition-theoretic series in partition theory	3
A bound for twists of $${\textrm{GL}}_3\times GL_2$$ L-functions with composite modulus	3
A bijective look at gapfree partitions: between local and global	3
An equivalent condition for abelian varieties over finite fields to have QM	3
Correction: Generalized divisor sums and shifted convolutions in $$\boldsymbol{\ell}$$-fold product L-functions	3
Ramanujan’s approximation to the exponential function and generalizations	3
On algebraic twists with composite moduli	3
A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities	3
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
Deviation of the rank and crank modulo 11	3
Sums of higher divisor function of diagonal homogeneous forms with prime variables	3
On p-divisibility of Fourier coefficients of Siegel modular forms	3
A series of definite integrals involving upper incomplete Gamma functions	3
On limiting distributions of arithmetic functions	3
The combinatorics of some two-color partition identities	3
Non-archimedean analytic singular homology based on cosimplicial perfectoid spaces and integration along cycles	3
Moments of automorphic L-functions in the strip $$\frac{1}{2}<\sigma <1$$	3
A q-analogue of Gosper’s strange evaluation of the hypergeometric series	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
Hypergeometric functions over finite fields	3
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem	3
Almost primes of the form $$[p^{1/\gamma }]$$	3
Negative real moments of restricted factors in arithmetic progression	3
On the positivity of a certain function related with the Digamma function	3
Arithmetic of Châtelet surfaces under extensions of base fields	3
Correction to: On a sum involving certain arithmetic functions and the integral part function	2
A conjecture of Coleman on the Eisenstein family	2
Two WP–Bailey lattices over the root system $$A_n$$ and their applications	2
Homogeneous spaces of semidirect products and finite Gelfand pairs	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
The k-fold divisor function over Beatty sequences	2
On a variant of the classical multiplicity one theorem	2
Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields	2
Spectral exponential sums on hyperbolic surfaces	2
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions	2
A newform theory for mod-p Katz modular forms	2
A combinatorial interpretation of Mahonian numbers of types B and D	2
Modularity of some Nahm sums as vector-valued functions	2
The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function	2
Some problems about friable numbers in Piatetski-Shapiro sequence	2
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	2
On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes	2
Motivic interpretations for iterated integrals on some specific algebraic curves	2
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	2
Ramanujan–Fine integrals for level 10	2
Extended Weil representations: the finite field cases	2
A monstrous integral	2
Graded characters, Demazure multiplicities, and Chebyshev polynomials	2
Andrews-beck partition statistics for modular partitions	2
A Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann–Papperitz system	2
Computer-assisted construction of Ramanujan–Sato series for 1 over $$\pi $$	2
On the structure of sets in a residue class ring with identical representation functions	2
Partitions into powers of an algebraic number	2
Rogers–Ramanujan moment bias	2
Partition congruences and vanishing coefficients of products of theta functions	2
Value sets of non-permutation polynomials over the residue class rings of integers	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	2
Explicit families of congruences for the overpartition function	2
A generalization of Markov Numbers	2
How often are $$\lfloor n^{\alpha }\rfloor $$ and $$\lfloor n^{\beta }\rfloor $$ simultaneously primes?	2
A note on lower bounds in Szemerédi’s theorem with random differences	2
The geodesic continued fraction for Shimura curves and its periodicity: the case of the (2, 3, 7)-triangle group	2
Identities for MacMahon’s q-series through Gosper’s q-trigonometry	2
Triple Ramanujan sums over number fields	2
Points of bounded height on weighted projective spaces over global function fields	2

Evaluation of certain convolution sums involving the sum of the divisors function	2
A new family of imaginary quadratic fields with class number divisible by 5	2
On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2
Sums of k-th powers and Fourier coefficients of cusp forms	2
Analytic properties of an orthogonal Fourier–Jacobi Dirichlet series	2
New mock theta conjectures part II	2
Exact formula for cubic partitions	2
A new entire factorial function	2
A combinatorial proof of q-log-concavity of q-Eulerian numbers	2
Superior highly composite numbers and the explicit upper bound of generalized divisor functions	2
Finite analogs of partition bias related to hook length two and a variant of Sylvester’s map	2
Double Eisenstein series and modular forms of level 4	2
A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions	2
Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results	2
Correction: Consecutive pure cubic fields with large class number	2
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	2
Expansions over Legendre polynomials and infinite double series identities	2
Characterizations of congruences modulo 2 and 4 for the number of smallest parts in overpartitions with smallest part even	2
The upper bound on sums of three squareful numbers	2
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	2
Moments of the argument of automorphic L-functions for $$GL_2$$	2
Infinite series involving r-Stirling numbers and hyperharmonic numbers	2
A short proof of the Kohnen-Zagier formula for Maass forms for $$\Gamma _0(4)$$	2
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	2
Correction to: Exact formula for cubic partitions	2
Correction: On variants of Chebyshev’s conjecture	2
Euler’s Criterion for prime order in some least non-PID cases	2
Sums of the kth divisor function of the ternary quadratic with prime variables	2
Primes in the intersection of two Piatetski–Shapiro sets	2
On finite nonnegative integer sets with identical representation functions	1
On signatures of elliptic curves and modular forms	1
On the evaluation of the alternating multiple $$ t $$ value $$ t({\overline{1}},\ldots ,{\overline{1}}, 1, {\overline{1}},\ldots ,{\overline{1}}) $$	1
A note on sumsets of progression-free sets	1
On concatenations of two repdigits in second-order Lucas sequences	1
Sign changes of Fourier coefficients of $$SL(2,\mathbb {Z})$$ Hecke–Maass forms at sum of two squares	1
On the correlations between character sums of division polynomials under shifts	1
Congruence conditions for the mod $$\lambda $$ values of the Fourier coefficients of classical eigenforms	1
Correction: Arithmetic properties of MacMahon-type sums of divisors	1
The integer group determinants for the groups of order 18	1
A lower bound for the discrepancy in a Sato–Tate type measure	1
Identities on mex-related partitions	1
Small prime solutions of equation with two primes and one k-th power of prime	1
Additive evaluations of the number of divisors	1
Real quadratic fields with odd class number divisible by 3	1
An equation involving prime numbers and one Linnik prime	1
Double interlacing between zeros of modular forms	1
A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$	1
On some integrals involving the general divisor problem	1
The convolution sums of MacMahon’s q-series	1
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	1
Stirling polynomials and multiple zeta (star) functions at non-positive integers	1
Weighted sum formulas for symmetric multiple zeta values	1
A uniform bound on the smallest surjective prime of an elliptic curve	1
On certain McKay numbers of symmetric groups	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
Terminating Poincaré asymptotic expansion of the Hankel transform of entire exponential type functions	1
Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity	1
Parity results for higher order SPT-functions of overpartitions	1
Moment duality for orthogonal polynomials	1
Correction: Modularity of some Nahm sums as vector-valued functions	1
Spectral moments of the real Ginibre ensemble	1
The three missing terms in Ramanujan’s septic theta function identity	1
Unusual class of polynomials related to partitions	1
Schneider’s p-adic continued fractions of rational numbers	1
Sums of S-units in sum of terms of recurrence sequences	1
Multimodal sequences and their generating functions	1
End behavior of Ramanujan’s Taxicab numbers	1
Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme	1
Correction to: The first negative Fourier coefficient of an Eisenstein series newform	1
A q-analog of the Stirling–Eulerian Polynomials	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
On signs of Hecke eigenvalues of Ikeda lifts	1
On the existence of the maximal unramified pro-2-extension over the cyclotomic $$\mathbb {Z}_2$$-extension with prescribed metacyclic Galois group	1
Universality of the zeta function in short intervals	1
On the Mordell–Weil rank and 2-Selmer group of a family of elliptic curves	1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	1
Elliptic curves over a finite field with a specified subgroup and the trace formula	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Squares in a Beatty sequence and an improvement on character sums	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
On the Borisov–Gunnells relations for products of Eisenstein series	1
Asymptotics and inequalities for the broken k-diamond partition function	1
Factors of certain basic hypergeometric sums	1
Interpolant of truncated multiple zeta functions	1
Iwasawa module of the cyclotomic $$\mathbb {Z}_{2}$$-extension of certain real quadratic fields	1
Correction: Limit theorems for Andrews’ restricted overpartitions	1
New evaluations for a certain number-theoretic error term	1
On the non-transversality of the hyperelliptic locus and the supersingular locus for $$g=3$$	1
Sums of logarithmic weights involving r-full numbers	1
New parity results for the 17-regular partition function	1
Class number relations in almost abelian number fields	1
Torsion points of small order on cyclic covers of $${\mathbb {P}}^1$$	1
Cycle integrals of meromorphic modular forms and Siegel theta functions	1
The density of the graph of elliptic Dedekind sums	1