Journal of Number Theory

Article	Citations
Modular hyperbolas and bilinear forms of Kloosterman sums	20
MacMahon's partition analysis XIII: Schmidt type partitions and modular forms	17
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients	15
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares	13
On non monogenity of certain number fields defined by trinomials x6 + ax3 + b	13
The fractional sum of small arithmetic functions	9
Primitive values of rational functions at primitive elements of a finite field	9
Common values of generalized Fibonacci and Pell sequences	9
On explicit estimates for S(t), S1(t), and ζ(1	9
The asymptotic distribution of the rank for unimodal sequences	8
Parity of the coefficients of certain eta-quotients	8
Uniform effective estimates for |L(1,χ)|	8
Counting zeros of the Riemann zeta function	8
Diophantine triples and K3 surfaces	6
Moments of central values of quartic Dirichlet L-functions	6
Computing intersections of closed geodesics on the modular curve	6
Twisted divided powers and applications	6
On the error term concerning the number of subgroups of the groups Z	6
A generic effective Oppenheim theorem for systems of forms	6
On a problem of Nathanson on minimal asymptotic bases	6
On the solutions of the Diophantine equation Fn	6
On a conjecture of Iizuka	6
Sequences with almost Poissonian pair correlations	6
Notes on isocrystals	6
The even parity Goldfeld conjecture: Congruent number elliptic curves	5

Zhi-Wei Sun's 1-3-5 conjecture and variations	5
Expanding phenomena over higher dimensional matrix rings	5
Classification of standard modules with linear periods	5
On subsequence sums of a zero-sum free sequence over finite abelian groups	5
Torsion growth of rational elliptic curves in sextic number fields	5
A “supernormal” partition statistic	5
Theta correspondence for almost unramified representations of unitary groups	5
Hyperelliptic curves and newform coefficients	5
Galois structure of the holomorphic differentials of curves	5
On mod p congruences for Drinfeld modular forms of level	5
Modular curves with infinitely many cubic points	5
Real quadratic fields admitting universal lattices of rank 7	5
A conjecture of Sárközy on quadratic residues	5
Parity of coefficients of mock theta functions	5
Local criteria for universal and primitively universal quadratic forms	5
On the moments of the moments of ζ(1/2 + it)	5
Drinfeld cusp forms: oldforms and newforms	4
Two identities relating Eisenstein series on classical groups	4
On an explicit zero-free region for the Dedekind zeta-function	4
Shimura curves and the abc conjecture	4
Laplace-eigenvalue equations for length three modular iterated integrals	4
Numerical verification of Littlewood's bounds for |L(1,χ)|	4
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials	4
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function	4
Constructing Galois representations ramified at one prime	4
Analogues of Alladi's formula	4
On the sum of squares of the middle-third Cantor set	4
Triple correlation sums of coefficients of cusp forms	4
On Drinfeld modular forms of higher rank II	4
The kernel of newform Dedekind sums	4
Small doubling in prime-order groups: From 2.4 to 2.6	4
Points on polynomial curves in small boxes modulo an integer	4
Primes between consecutive powers	4
On maximal product sets of random sets	4
On Drinfeld modular forms of higher rank IV: Modular forms with level	4
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions	4
On additive co-minimal pairs	4
Epsilon factors of representations of finite general linear groups	4
Modular polynomials on Hilbert surfaces	4
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	4
Arithmetic intersections of modular geodesics	4
Lower order terms for the one-level density of a symplectic family of Hecke L-functions	4
Some questions on biquadratic Pólya fields	4
Bounds on bilinear sums of Kloosterman sums	4
Variations of Lehmer's Conjecture for Ramanujan's tau-function	4
Functional equation and zeros on the critical line of the quadrilateral zeta function	4
Optimality of two inequalities for exponents of Diophantine approximation	4
On the nonnegative integer solutions to the equation F ± F = y	4
The number of prime factors of integers with dense divisors	4
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields	4

Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products	4
Long-range correlations of sequences modulo 1	3
Sidon sets for linear forms	3
Non-real poles and irregularity of distribution	3
Spectrum, algebraicity and normalization in alternate bases	3
Obstructions to weak approximation for reductive groups over p-adic function fields	3
Linear operators, the Hurwitz zeta function and Dirichlet L-functions	3
On a problem related to discrete mean values of Dirichlet L-functions	3
Sums of higher divisor functions	3
An investigation into explicit versions of Burgess' bound	3
Exceptional zeros and the Goldbach problem	3
Nearly holomorphic automorphic forms on SL2	3
On p-adic Siegel Eisenstein series	3
How far is an extension of p-adic fields from having a normal integral basis?	3
Massey products in Galois cohomology and the elementary type conjecture	3
t-Aspect subconvexity for GL(2)×GL(2) L-function	3
On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result	3
Converse theorem of Gauss sums	3
On Galois extensions with prescribed decomposition groups	3
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	3
Computing endomorphism rings and Frobenius matrices of Drinfeld modules	3
Chebyshev's bias against splitting and principal primes in global fields	3
Numerical verification of a conjecture of Harris and Venkatesh	3
Non-monogenic division fields of elliptic curves	3
The arithmetic basilica: A quadratic PCF arboreal Galois group	3
Continued fractions over non-Euclidean imaginary quadratic rings	3
On a shifted convolution sum problem	3
Tensor powers of rank 1 Drinfeld modules and periods	3
Coppersmith's lattices and “focus groups”: An attack on small-exponent RSA	3
An improved explicit estimate for ζ(1/2 + it)	3
Gamma factors and converse theorems for classical groups over finite fields	3
On a generalization of a conjecture of Grosswald	3
Minimal universality criterion sets on the representations of binary quadratic forms	3
Fekete polynomials, quadratic residues, and arithmetic	3
Log-concavity of the restricted partition function p	3
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks	3
The mean square of the error term in the prime number theorem	3
Large values of the argument of the Riemann zeta-function and its iterates	3
On the Hasse invariants of the Tate normal forms E5 and E7	3
On the first Fourier-Jacobi coefficient of Siegel modular forms of degree two	3
Pólya group in some real biquadratic fields	3
Holomorphic differentials of generalized Fermat curves	3
On the degeneracy of integral points and entire curves in the complement of nef effective divisors	3
p-adic heights and Vologodsky integration	3
The rational cuspidal divisor class group of X0(N)	3
Inequalities for the broken k-diamond partition functions	3
Ramanujan graphs and exponential sums over function fields	3
Cuspidal projections of products of Eisenstein series	3
On the Diophantine pair {a,3a}	3
Steinberg homology, modular forms, and real quadratic fields	3
Bielliptic quotient modular curves with N square-free	3
Finding endomorphisms of Drinfeld modules	3
On the distribution of Salem numbers	3
Generalizations of Sturmian sequences associated with -continued fraction algorithms	3
Generalized visibility of lattice points in higher dimensions	3
Monomials of Eisenstein series	3
On the growth speed of digits in Engel expansions	3
Inverse problems for minimal complements and maximal supplements	3
Algebraic differential independence regarding the Riemann -function and the Euler Γ-function	3
Equivariant special L-values of abelian t-modules	3
Zeroes of quaternionic modular forms and central L-values	3
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers	2
A weighted version of the Erdős–Kac theorem	2
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	2
Congruences for spt	2
Digit expansions of numbers in different bases	2
Longest arithmetic progressions of palindromes	2
Generalized divisor functions in arithmetic progressions: I	2
On Fibonacci partitions	2
Non-commutative analytic subgroup theorem	2
The Hasse invariant of the Tate normal form E5 and the class number of Q	2
Moderate expanders over rings	2
Capitulation abélienne des groupes de classes de rayons	2
Higher Mertens constants for almost primes	2
Dirichlet series of integers with missing digits	2
Eichler orders and Jacobi forms of squarefree level	2
The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure	2
Higher order Turán inequalities for the distinct partition function	2
Dirichlet, Sierpiński, and Benford	2
The large sieve with square moduli in function fields	2

A finiteness result for p-adic families of Bianchi modular forms	2
An analogue of Kida's formula for fine Selmer groups of elliptic curves	2
Modular forms on indefinite orthogonal groups of rank three	2
On pro-p-extensions of number fields with restricted ramification over intermediate 2
On the equation ∑j	2
On the structure of finite sets with the same representation functions	2
On the density of the odd values of the partition function and the t-multipartition function	2
A variant of Siegel's theorem for Drinfeld modules	2
A paucity problem associated with a shifted integer analogue of the divisor function	2
Diophantine approximation with prime restriction in function fields	2
Infinite families of isogeny-torsion graphs	2
On values of weakly holomorphic modular functions at divisors of meromorphic modular forms	2
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces	2
Periods and (χ,b)-factors of cuspidal automorphic forms of metaplectic groups	2
A function field variant of Pillai's problem	2
Optimal spinor selectivity for quaternion Bass orders	2
On bounded basis of integers	2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3	2
Periods of t-modules as special values	2
Congruences relating class numbers of quadratic orders and Zagier's sums	2
Classification of all Galois subcovers of the Skabelund maximal curves	2
One-level density of the family of twists of an elliptic curve over function fields	2
Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields	2
An inequality for coefficients of the real-rooted polynomials	2
On the existence of maximal spanning vectors in L2<	2
Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms	2
Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers	2
On the square-free values of the polynomial x2 + y2 + z2 + k	2
The number of zeros of certain combinations of the Eisenstein series for Γ	2
A congruence family for 2-elongated plane partitions: An application of the localization method	2
A generalized subspace theorem for closed subschemes in subgeneral position	2
Generalization of a Pohst's inequality	2
On the growth of cuspidal cohomology of GL(2) and GL(3)	2
On the values of representation functions II	2
New density results and congruences for Andrews' singular overpartitions	2
A unified strategy to compute some special functions of number-theoretic interest	2
Some properties of Zumkeller numbers and k-layered numbers	2
Finite sets containing near-primitive roots	2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture	2
Linear independence of even periods of modular forms	2
Algorithmic classification of noncorrelated binary pattern sequences	2
Taylor coefficients of the Jacobi θ3(q) function	2
A note on Galois representations valued in reductive groups with open image	2
L-functions of certain exponential sums over finite fields II	2
On the normal number of prime factors of sums of Fourier coefficients of eigenforms	2
Rogers' mean value theorem for S-arithmetic Siegel transforms and applications to the geometry of numbers	2
On the linear independence of values of G-functions	2
On uniform distribution of αβ-orbits	2
Purely additive reduction of abelian varieties with torsion	2
Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields	2
Algebraic properties of the values of newform Dedekind sums	2
Quadratic twists of elliptic curves and class numbers	2
Congruence relations for r-colored partitions	2
Unique sums and differences in finite Abelian groups	2
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II	2
On the computation of the endomorphism rings of abelian surfaces	2
Joint universality theorem of Selberg zeta functions for principal congruence subgroups	2
On Galois groups of linearized polynomials related to the general linear group of prime degree	2
From Pólya fields to Pólya groups (II) Non-Galois number fields	2
The unbounded denominators conjecture for the noncongruence subgroups of index 7	2
Typically bounding torsion on elliptic curves with rational j-invariant	2
On shuffle-type functional relations of desingularized multiple zeta-functions	2
Root repulsion and faster solving for very sparse polynomials over p-adic fields	2
Improved lower bounds for possible solutions in the Second Case of the Fermat Last Theorem and in the Catalan Equation	2
Elliptic surfaces of rank one and the topology of cubic-line arrangements	2
A physical study of the LLL algorithm	2
Underapproximation by Egyptian fractions	2
Hilbert cubes meet arithmetic sets	2
Central limit theorem for the least common multiple of a uniformly sampled m-tuple of integers	2
Ergodic functions over Z	2
Sturm-type bounds for modular forms over function fields	2
Numerical estimates on the Landau-Siegel zero and other related quantities	2
Non-Pólya bi-quadratic fields with an Euclidean ideal class	2