Ramanujan Journal

Article	Citations
A note on the exceptional set for Diophantine approximation with mixed powers of primes	17
A sum of squares not divisible by a prime	15
Coefficient estimates for a certain family of analytic functions involving a q-derivative operator	12
Zeros of Jacobi and ultraspherical polynomials	11
Hankel determinants of linear combinations of moments of orthogonal polynomials, II	10
Factorized $$A_2$$-Leonard pair	8
Galois representations over function fields that are ramified at one prime	8
The Kronecker theta function and a decomposition theorem for theta functions I	8
Weighted sum formulas for symmetric multiple zeta values	7
New contiguous relations for a balanced q-series and their applications	7
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$	7
On cranks of partitions modulo 12 and 16	6
Hahn polynomials and the Burnside process	6
Rogers–Ramanujan type identities and Chebyshev polynomials of the third kind	6
Average of Dirichlet coefficients of cuspidal representations related to GL(2)	6
The truncated sum of digits function of polynomial sequences	6
On primes and practical numbers	6
Rational points on algebraic curves in infinite towers of number fields	6
Robin’s criterion on divisibility	6
On sums of coefficients of Borwein type polynomials over arithmetic progressions	6
m-Dissections of some infinite products and related identities	6
On certain cyclotomic matrices involving biquadratic residues	6
Strong pseudoprimes to base 2	6
A lower bound for the discrepancy in a Sato–Tate type measure	5
On the Lang–Trotter conjecture for a class of non-generic abelian surfaces	5

Congruences for arithmetic functions	5
Diophantine approximation with mixed powers of primes	5
A formula for the number of partitions of n in terms of the partial Bell polynomials	5
A new extension of the (H.2) supercongruence of Van Hamme for primes $$p\equiv 3\pmod {4}$$	5
Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves	5
Points of bounded height on weighted projective spaces over global function fields	5
Some remarks on Kida’s formula when $$\mu \ne 0$$	5
On a theorem of Borel on diophantine approximation	5
On hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$	5
Log-convexity and the overpartition function	4
Real quadratic fields with odd class number divisible by 3	4
A parameterized family of quadratic class groups with 3-Sylow subgroups of rank at least three	4
Continued fractions for cycle-alternating permutations	4
Palindrome partitions and the Calkin–Wilf tree	4
Discriminants of cubic curves and determinantal representations	4
Some new q-series identities through an extended Bailey transform	4
On certain McKay numbers of symmetric groups	4
A q-analog of the Stirling–Eulerian Polynomials	4
Moments of the argument of automorphic L-functions for $$GL_2$$	4
Fourier coefficients of Hilbert modular forms at cusps	4
On signatures of elliptic curves and modular forms	4
Uniqueness of Fourier coefficients of eigenforms	4
Unusual class of polynomials related to partitions	4
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions	4
On integers of the form $$2^{g(j_1)}+2^{g(j_2)}+p$$	4
A q-analogue of symmetric multiple zeta value	4
Symplectic Kloosterman sums and Poincaré series	3
Exact values and lower bounds on the n-color weak Schur numbers for $$n=2,3$$	3
Ramanujan-type $$1/\pi $$-series from bimodular forms	3
Generating functions of the Hurwitz class numbers associated with certain mock theta functions	3
On the p-ranks of the ideal class groups of imaginary quadratic fields	3
Weyl-type bounds for twisted GL(2) short character sums	3
$$\mathbb {Z}_2$$-extension of real quadratic fields with $$\mathbb {Z}/2\mathbb {Z}$$ as 2-class group at each layer	3
The density of the graph of elliptic Dedekind sums	3
Growth of torsion groups of elliptic curves upon base change from number fields	3
Combinatorial proofs and refinements of three partition theorems of Andrews	3
Tight upper and lower bounds for the reciprocal sum of Proth primes	3
Fourier coefficients twisted with exponential functions	3
Note on Halphen’s system	3
Newform Eisenstein congruences of local origin	3
Exact formula for cubic partitions	3
On matching and periodicity for $$(N,\alpha )$$-expansions	3
Primes of higher degree and annihilators of class groups	3
A quaternary Diophantine inequality with prime numbers of a special form	3
Counting multiplicative approximations	3
Inequalities for the $$M_2$$-rank modulo 12 of partitions without repeated odd parts	3
Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups	3
Another generalization of Euler’s arithmetic function and Menon’s identity	3
Infinite product representations of some q-series	3
Spectral moments of the real Ginibre ensemble	3

On near orthogonality of certain k-vectors involving generalized Ramanujan sums	3
The Hasse invariant of the Tate normal form $$E_7$$ and the supersingular polynomial for the Fricke group $$\Gamma _0^*(7)$$	3
An exact formula for a Lambert series associated to a cusp form and the Möbius function	3
Vanishing coefficients and identities concerning Ramanujan’s parameters	2
Rankin–Cohen brackets of Hilbert Hecke eigenforms	2
Explicit families of congruences for the overpartition function	2
Spectral exponential sums on hyperbolic surfaces	2
On the distribution of $$\alpha p$$ modulo one in the intersection of two Piatetski–Shapiro sets	2
100 Years of mock theta functions	2
On ranks of quadratic twists of a Mordell curve	2
Linear independence of special values of Jacobi-theta constants	2
Frobenius distributions of elliptic curves in short intervals on average	2
On a ternary Diophantine inequality over primes	2
Mod p modular forms and simple congruences	2
Sums of powers of primes II	2
Extended Weil representations: the finite field cases	2
Modularity of two double covers of $${\pmb {\mathbb {P}}}^5$$ branched along 12 hyperplanes	2
A note on two of Ramanujan’s mock theta functions	2
Extensions to generalizations of hypergeometric and basic hypergeometric functions of inequalities for quotients of hypergeometric functions that arose in research on financing efficiency of securitie	2
The average size of Ramanujan sums over quadratic number fields	2
q-Racah probability distribution	2
Combinatorics of periodic ellipsoidal billiards	2
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values	2
Partitions into Segal–Piatetski–Shapiro sequences	2
New inequalities for p(n) and $$\log p(n)$$	2
On variants of symmetric multiple zeta-star values and the cyclic sum formula	2
Hecke-type double sums and the Bailey transform	2
Almost 3-regular overpartitions	2
Some properties of totients	2
Multiple zeta values, WZ-pairs and infinite sums computations	2
The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series	2
Simultaneous cubic and quadratic diagonal equations in 12 prime variables	2
Covering shrinking polynomials by quasi progressions	2
Asymptotics of reciprocal supernorm partition statistics	2
On a continued fraction expansion of the special function $$e^{x}E_{1}(x)$$ and an explicit expression of the continued fraction convergents	2
On sums of coefficients of polynomials related to the Borwein conjectures	2
On the index of appearance of a Lucas sequence	2
Consecutive pure cubic fields with large class number	2
On the sum and the regularized products of some Dirichlet series	2
Congruences for the coefficients of a pair of third and sixth order mock theta functions	2
Inequalities for sine sums with more variables	2
The log-balancedness of generalized derangement numbers	2
Trigonometric analogues of the identities associated with twisted sums of divisor functions	2
Some q-analogues of supercongruences for truncated $$_3F_2$$ hypergeometric series	2
A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions	2
On the solutions of $$x^2= By^p+Cz^p$$ and $$2x^2= By^p+Cz^p$$ over totally real fields	2
On the Waring–Goldbach problem for squares, cubes and higher powers	2
On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$	2
Stirling numbers with higher level and records	2
On a ternary Diophantine inequality with one prime of the form $$p=x^2+y^2+1$$	2
Minimal additive complements in finitely generated abelian groups	2
The p-adic valuations and degrees of monomial exponential sums	2
New generalisation of Jacobi’s derivative formula	2
On the divisibility of q-trinomial coefficients	2
On the distribution of the norm of partitions	2
Chebyshev’s bias for Fermat curves of prime degree	2
Some q-supercongruences from Gasper’s Karlsson–Minton type summation	2
On the ideal class group on which the alternating group of degree five acts and special values of Artin L-functions	2
Characterizing the supernorm partition statistic	2
Arithmetic statistics and diophantine stability for elliptic curves	2
A note on the distribution of $$d_3(n)$$ in arithmetic progressions	2
Double interlacing between zeros of modular forms	2
Fine Selmer groups and ideal class groups	2
Zeros of hypergeometric functions in the p-adic setting	2
Lie algebras of differential operators for matrix valued Laguerre type polynomials	2
On the modularity of elliptic curves over the cyclotomic $${\mathbb {Z}}_p$$-extension of some real quadratic fields	2
Diophantine approximation with prime variables and mixed powers	1
The k-fold divisor function over Beatty sequences	1
Elementary proofs of infinite families of congruences for Merca’s cubic partitions	1
The weak Gram law for Hecke $$ L $$-functions	1
On sums of sums involving cube-full numbers	1
On integer partitions and continued fraction type algorithms	1
The first negative Fourier coefficient of an Eisenstein series newform	1
A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$	1
A note of a modular equation of Ramanujan–Selberg continued fraction	1
An elementary proof of a theorem of Hardy and Ramanujan	1
The integral moments and ratios of quadratic Dirichlet L-functions over monic irreducible polynomials in $$\mathbb {F}_{q}[T]$$	1
Asymptotics of D(q)-pairs and triples via L-functions of Dirichlet characters	1
Rooted partitions and number-theoretic functions	1
Partitions into Beatty sequences	1

An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis	1
Theta series and number fields: theorems and experiments	1
$$\Gamma $$-evaluations of hypergeometric series	1
A crank for bipartitions with designated summands	1
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities	1
A Voronoi summation formula for the shifted triple divisor function	1
Automorphic Schwarzian equations and integrals of weight 2 forms	1
Some problems about friable numbers in Piatetski-Shapiro sequence	1
On 5- and 10-dissections for some infinite products	1
Hardy–Littlewood–Sobolev inequality on the parabolic biangle	1
A proof of Mao’s conjecture on an identity of Beck’s partition statistics	1
Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts	1
Ideal class groups of imaginary quadratic fields	1
Connections between binomial coefficients and binary quadratic forms	1
On Ramanujan’s cubic continued fraction	1
Menon-type identities with respect to sets of units	1
An efficient determination of the coefficients in the Chudnovskys’ series for 1/$$\pi $$	1
Additive evaluations of the number of divisors	1
A new approach to the Dyson rank conjectures	1
Diophantine equations, class groups and non-congruent numbers	1
On the resolution of the Diophantine equation $$U_n + U_m = x^q$$	1
On Jacobi forms, and explicit evaluations of some trigonometric sums	1
Sums of singular series and primes in short intervals in algebraic number fields	1
Harmonic analysis on the positive rationals: computation of character sums	1
Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms	1
On the distribution of Ramanujan sums over number fields	1
Some double-angle formulas related to a generalized lemniscate function	1
A newform theory for mod-p Katz modular forms	1
Linear inequalities concerning partitions into distinct parts	1
Solutions of $$x_1^2+x_2^2-x_3^2=n^2$$ with small $$x_3$$	1
Asymptotic expansions for the truncation error in Ramanujan-type series	1
A note on simple zeros related to Dedekind zeta functions	1
On the occurrence of Hecke eigenvalues in sectors	1
On some determinants involving the tangent function	1
A note on an inequality of Paul Turán concerning polynomials	1
On derivatives of zeta and L-functions	1
On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$	1
Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications	1
On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials	1
A new Ramanujan-type identity for $$L(2k+1, \chi _1)$$	1
Even–odd partition identities of Rogers–Ramanujan type	1
Factorizations of bivariate Taylor series via inverse power products	1
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$	1
An asymptotic expansion of the hyberbolic umbilic catastrophe integral	1
Diophantine approximation with prime denominator in quadratic number fields under GRH	1
Asymptotics of Chebyshev polynomials, V. residual polynomials	1
Congruences for odd class numbers of quadratic fields with odd discriminant	1
Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra	1
The zeros of odd period polynomials for newforms on $$\Gamma _0(2)$$	1
Goldbach–Linnik type problems with mixed powers of primes	1
Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes	1
Sequences in overpartitions	1
Modular equations of degrees 13, 29, and 61	1
Multiplicative functions supported on the k-free integers with small partial sums	1
Twisting finite-dimensional modules for the q-Onsager algebra $${\mathcal {O}}_q$$ via the Lusztig automorphism	1
On 3-divisibility of 9- and 27-regular partitions	1
Lower bounds for the house in some radical extensions	1
Direct and inverse approximation theorems connected with the q-Bessel Fourier transform in weighted $$L^2$$ space	1
Realization of modular Galois representations in the Jacobians of modular curves	1
Positivity and divisibility of enumerators of alternating descents	1
A superpolynomial version of nonsymmetric Jack polynomials	1
Piatetski-Shapiro primes in arithmetic progressions	1
Turán inequalities for the broken k-diamond partition functions	1
New companions to the generalizations of the Göllnitz–Gordon identities	1
Two results on unlike powers of primes and powers of 2 in the Waring–Goldbach problem	1
Complete congruences of Jacobi sums of order $$2l^{2}$$ with prime l	1
On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	1
Lower bounds for negative moments of quadratic twist of modular L-functions	1
Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields	1
Some new Ramanujan-type modular equations of degree 15	1
Sets of values of equivalent almost periodic functions	1
Dirichlet series and -log 2	1
Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions	1
Exponential radii of starlikeness and convexity of some special functions	1
Crossed out modular equations of degree 11 of Ramanujan	1
Partitions into powers of an algebraic number	1
The partition-frequency enumeration matrix	1
A Lucas–Lehmer approach to generalised Lebesgue–Ramanujan–Nagell equations	1
Truncated Hecke–Rogers type series—part II	1
On two double series for $$\pi $$ and their q-analogues	1
On some hypergeometric supercongruence conjectures of Long	1
Hypergeometric solutions to Schwarzian equations	1
Bijections, generalizations, and other properties of sequentially congruent partitions	1
On the simultaneous sign changes of Hecke eigenvalues associated with multiple cusp forms	1
Convergent series of integers with missing digits	1
Double Eisenstein series and modular forms of level 4	1
A supersingular coincidence	1
Class invariants by Siegel resolvents and the modularity of their Galois traces	1
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera	1
Reciprocity between partitions and compositions	1
Shifted convolution sums of GL(m) cusp forms with $$\Theta $$-series	1
A new family of imaginary quadratic fields with class number divisible by 5	1
Several q-series transformation formulas and new Hecke–Rogers type series identities	1
On the generalized Hilbert transform and weighted Hardy spaces in q-Dunkl harmonic analysis	1
A transformation and certain special values of hypergeometric series over finite fields	1