Journal of Number Theory

Article	Citations
Modular hyperbolas and bilinear forms of Kloosterman sums	19
On a sum involving the Euler function	18
MacMahon's partition analysis XIII: Schmidt type partitions and modular forms	12
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients	12
On non monogenity of certain number fields defined by trinomials x6 + ax3 + b	11
Weyl bound for GL(2) in t-aspect via a simple delta method	10
The algebraic degree of spectra of circulant graphs	9
On explicit estimates for S(t), S1(t), and ζ(1	9
Common values of generalized Fibonacci and Pell sequences	8
The asymptotic distribution of the rank for unimodal sequences	8
The fractional sum of small arithmetic functions	8
Primitive values of rational functions at primitive elements of a finite field	8
On Andrews' integer partitions with even parts below odd parts	8
Endomorphism rings of reductions of Drinfeld modules	8
Parity of the coefficients of certain eta-quotients	7
Unramified extensions over low degree number fields	7
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares	7
Poissonian pair correlation in higher dimensions	7
Counting zeros of the Riemann zeta function	7
Uniform effective estimates for |L(1,χ)|	7
Moments of quadratic Hecke L-functions of imaginary quadratic number fields	6
Additive twists and a conjecture by Mazur, Rubin and Stein	6
On the density or measure of sets and their sumsets in the integers or the circle	6
Heron triangles and their elliptic curves	6
Gamma factors for the Asai representation of GL2	6

Computing intersections of closed geodesics on the modular curve	6
The Hasse norm principle for A-extensions	6
A note on multiplicative functions resembling the Möbius function	6
Hyperfields, truncated DVRs, and valued fields	6
On a problem of Nathanson on minimal asymptotic bases	6
Hausdorff dimension of the large values of Weyl sums	5
Intersection numbers of modular correspondences for genus zero modular curves	5
Parity of coefficients of mock theta functions	5
A generic effective Oppenheim theorem for systems of forms	5
On the l.c.m. of random terms of binary recurrence sequences	5
Classification of standard modules with linear periods	5
Torsion growth of rational elliptic curves in sextic number fields	5
The cycle structure of a Markoff automorphism over finite fields	5
Twisted divided powers and applications	5
Almost primes and the Banks–Martin conjecture	5
Theta correspondence for almost unramified representations of unitary groups	5
Hyperelliptic curves and newform coefficients	5
Diophantine approximation over Piatetski-Shapiro primes	5
Sequences with almost Poissonian pair correlations	5
On the moments of the moments of ζ(1/2 + it)	5
Notes on isocrystals	5
Hopf-Galois structures on finite extensions with almost simple Galois group	5
On the error term concerning the number of subgroups of the groups Z	5
A conjecture of Sárközy on quadratic residues	5
Expanding phenomena over higher dimensional matrix rings	5
Moments of central values of quartic Dirichlet L-functions	5
Weighted greatest common divisors and weighted heights	5
On mod p congruences for Drinfeld modular forms of level	5
Graded rings of integral Jacobi forms	5
Dirichlet characters and low-lying zeros of L-functions	4
On Serre's modularity conjecture and Fermat's equation over quadratic imaginary fields of class number one	4
On Drinfeld modular forms of higher rank II	4
On the solutions of the Diophantine equation Fn	4
Real quadratic fields admitting universal lattices of rank 7	4
Lower order terms for the one-level density of a symplectic family of Hecke L-functions	4
Explicit bounds on exceptional zeroes of Dirichlet L-functions II	4
Optimality of two inequalities for exponents of Diophantine approximation	4
Constructing Galois representations ramified at one prime	4
On the sum of squares of the middle-third Cantor set	4
Modular polynomials on Hilbert surfaces	4
Local criteria for universal and primitively universal quadratic forms	4
On subsequence sums of a zero-sum free sequence over finite abelian groups	4
Elliptic curves and lower bounds for class numbers	4
Small doubling in prime-order groups: From 2.4 to 2.6	4
Zhi-Wei Sun's 1-3-5 conjecture and variations	4
Variations of Lehmer's Conjecture for Ramanujan's tau-function	4
On Drinfeld modular forms of higher rank IV: Modular forms with level	4
Analogues of Alladi's formula	4
Hilbert modularity of some double octic Calabi–Yau threefolds	4
Indecomposable integers in real quadratic fields	4

Drinfeld cusp forms: oldforms and newforms	4
On iterated extensions of number fields arising from quadratic polynomial maps	4
Two identities relating Eisenstein series on classical groups	4
Arithmetic intersections of modular geodesics	4
On an explicit zero-free region for the Dedekind zeta-function	4
On maximal product sets of random sets	4
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions	4
On the nonnegative integer solutions to the equation F ± F = y	4
On additive co-minimal pairs	4
Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic	4
Non-real poles and irregularity of distribution	3
An investigation into explicit versions of Burgess' bound	3
Exceptional zeros and the Goldbach problem	3
On a class of Lebesgue-Ljunggren-Nagell type equations	3
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function	3
On a theorem of Sárközy for difference sets and shifted primes	3
Gamma factors and converse theorems for classical groups over finite fields	3
Large values of the argument of the Riemann zeta-function and its iterates	3
Metrical theorems on systems of affine forms	3
Regular ternary triangular forms	3
Asymptotic lower bound of class numbers along a Galois representation	3
Zeroes of quaternionic modular forms and central L-values	3
Sums of sets of abelian group elements	3
Primes between consecutive powers	3
Converse theorem of Gauss sums	3
A note on the Bateman-Horn conjecture	3
On exceptional sets of biquadratic Waring-Goldbach problem	3
Numerical verification of Littlewood's bounds for |L(1,χ)|	3
Equivariant special L-values of abelian t-modules	3
Numerical verification of a conjecture of Harris and Venkatesh	3
On the growth speed of digits in Engel expansions	3
Finding endomorphisms of Drinfeld modules	3
p-adic heights and Vologodsky integration	3
On a conjecture of Iizuka	3
On a problem related to discrete mean values of Dirichlet L-functions	3
Epsilon factors of representations of finite general linear groups	3
Diophantine triples and K3 surfaces	3
Cuspidal projections of products of Eisenstein series	3
On the error term and zeros of the Dedekind zeta function	3
Ramanujan graphs and exponential sums over function fields	3
New estimates for exponential sums over multiplicative subgroups and intervals in prime fields	3
Computing endomorphism rings and Frobenius matrices of Drinfeld modules	3
t-Aspect subconvexity for GL(2)×GL(2) L-function	3
On a generalization of a conjecture of Grosswald	3
On the first Fourier-Jacobi coefficient of Siegel modular forms of degree two	3
On the Hasse invariants of the Tate normal forms E5 and E7	3
Functional equation and zeros on the critical line of the quadrilateral zeta function	3
Sturm-type bounds for modular forms over function fields	3
Bounds on bilinear sums of Kloosterman sums	3
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks	3
Modular hyperbolas and Beatty sequences	3
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	3
Big Heegner points and generalized Heegner cycles	3
Jordan totient quotients	3
A “supernormal” partition statistic	3
On the degeneracy of integral points and entire curves in the complement of nef effective divisors	3
The number of prime factors of integers with dense divisors	3
Tensor powers of rank 1 Drinfeld modules and periods	3
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields	3
Galois structure of the holomorphic differentials of curves	3
Modular curves with infinitely many cubic points	3
Mahler measure of a non-tempered Weierstrass form	3
The even parity Goldfeld conjecture: Congruent number elliptic curves	3
Monomials of Eisenstein series	3
The mean square of the error term in the prime number theorem	3
Inverse problems for minimal complements and maximal supplements	3
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products	3
On the minimal Hamming weight of a multi-base representation	3
Minimal universality criterion sets on the representations of binary quadratic forms	3
Diophantine equations involving the Euler totient function	3
Nearly holomorphic automorphic forms on SL2	3
Recurrence sequences connected with the m–ary partition function and their divisibility properties	3
Primitive divisors of sequences associated to elliptic curves	3
On degree 2 Siegel cusp forms and its Fourier coefficients	3
Bielliptic quotient modular curves with N square-free	3
Laplace-eigenvalue equations for length three modular iterated integrals	3
Digit expansions of numbers in different bases	2
A physical study of the LLL algorithm	2
Chebyshev's bias against splitting and principal primes in global fields	2
Polynomial values of figurate numbers	2

Underapproximation by Egyptian fractions	2
On the values of representation functions II	2
A finiteness result for p-adic families of Bianchi modular forms	2
On the distribution of Salem numbers	2
Non-monogenic division fields of elliptic curves	2
A generalized subspace theorem for closed subschemes in subgeneral position	2
Shimura curves and the abc conjecture	2
Hilbert cubes meet arithmetic sets	2
On the growth of cuspidal cohomology of GL(2) and GL(3)	2
Numerical estimates on the Landau-Siegel zero and other related quantities	2
Estimates for representation numbers of binary quadratic forms and Apollonian circle packings	2
Rank and bias in families of hyperelliptic curves via Nagao's conjecture	2
Quadratic twists of elliptic curves and class numbers	2
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	2
The Fourier coefficients of a metaplectic Eisenstein distribution on the double cover of SL(3) over 2
Fekete polynomials, quadratic residues, and arithmetic	2
On the normal number of prime factors of sums of Fourier coefficients of eigenforms	2
Moderate expanders over rings	2
Triple correlation sums of coefficients of cusp forms	2
Steinberg homology, modular forms, and real quadratic fields	2
A note on Galois representations valued in reductive groups with open image	2
Longest arithmetic progressions of palindromes	2
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function	2
Graded rings of paramodular forms of levels 5 and 7	2
One-level density of the family of twists of an elliptic curve over function fields	2
Linear operators, the Hurwitz zeta function and Dirichlet L-functions	2
Spectrum, algebraicity and normalization in alternate bases	2
On a shifted convolution sum problem	2
From Pólya fields to Pólya groups (II) Non-Galois number fields	2
The kernel of newform Dedekind sums	2
Test vectors for Rankin–Selberg L-functions	2
Primitive divisors of elliptic divisibility sequences over function fields with constant j-invariant	2
Typically bounding torsion on elliptic curves with rational j-invariant	2
Quadratic forms with a strong regularity property on the representations of squares	2
The unbounded denominators conjecture for the noncongruence subgroups of index 7	2
On the Diophantine pair {a,3a}	2
An analogue of Kida's formula for fine Selmer groups of elliptic curves	2
Improved lower bounds for possible solutions in the Second Case of the Fermat Last Theorem and in the Catalan Equation	2
On Galois extensions with prescribed decomposition groups	2
Algebraic differential independence regarding the Riemann -function and the Euler Γ-function	2
A Weil-étale version of the Birch and Swinnerton-Dyer formula over function fields	2
Congruences for spt	2
A finite analogue of the ring of algebraic numbers	2
On values of weakly holomorphic modular functions at divisors of meromorphic modular forms	2
On perfect powers that are sums of cubes of a seven term arithmetic progression	2
Periods of t-modules as special values	2
A function field variant of Pillai's problem	2
Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields	2
A variant of Siegel's theorem for Drinfeld modules	2
An inequality for coefficients of the real-rooted polynomials	2
Critical values of L-functions for GL3 × GL1 and symmetric square L-functions for GL2 over a CM field	2
Hilbert modular polynomials	2
Joint universality theorem of Selberg zeta functions for principal congruence subgroups	2
On completely multiplicative automatic sequences	2
Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers	2
Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, I	2
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	2
On the linear independence of values of G-functions	2
Holomorphic differentials of generalized Fermat curves	2
On integers n for which σ(2n + 1)≥σ(2n)	2
Dirichlet, Sierpiński, and Benford	2
On the Diophantine equation(n	2
On the density of the odd values of the partition function and the t-multipartition function	2
The large sieve with square moduli in function fields	2
The rational cuspidal divisor class group of X0(N)	2
Some properties of Zumkeller numbers and k-layered numbers	2
Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms	2
On shuffle-type functional relations of desingularized multiple zeta-functions	2
On bounded basis of integers	2
A proof of Sarnak's golden mean conjecture	2
Asymptotic complements in the integers	2
The Hasse invariant of the Tate normal form E5 and the class number of Q	2
On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result	2
On quadratic approximation for hyperquadratic continued fractions	2
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers	2
Optimal spinor selectivity for quaternion Bass orders	2
Taylor coefficients of the Jacobi θ3(q) function	2
Some results on multiple polylogarithm functions and alternating multiple zeta values	2
An average of generalized Dedekind sums	2
Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields	2
Capitulation abélienne des groupes de classes de rayons	2
A generalization of the Hardy–Ramanujan inequality and applications	2
Erratum to “Large sieve inequality with power moduli for function fields” [J. Number Theory 196 (2019) 1–13]	2
Non-commutative analytic subgroup theorem	2
Coppersmith's lattices and “focus groups”: An attack on small-exponent RSA	2
Densities for sets of natural numbers vanishing on a given family	2
On the compactification of the Drinfeld modular curve of level Γ<	2
Sums of higher divisor functions	2
Ergodic functions over Z	2
Unique sums and differences in finite Abelian groups	2
Classification of all Galois subcovers of the Skabelund maximal curves	2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture	2