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Kummer Theory for Number Fields |
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An explicit error term in the prime number theorem for large x |
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A logarithmic improvement in the Bombieri-Vinogradov theorem |
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A new explicit bound for the Riemann zeta function |
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Euler's divergent series and primes in arithmetic progressions |
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Exceptional Chebyshev's bias over finite fields |
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The second moment of symmetric square L-functions over Gaussian integers |
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Generalized valuations and idempotization of schemes |
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An invitation to the algebraic geometry over idempotent semirings - Lecture 1 |
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An invitation to the algebraic geometry over idempotent semirings - lecture 2 |
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Sign changes of the error term in the Piltz divisor problem |
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Quantitative estimates for the size of an intersection of sparse automatic sets |
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Conditional estimates for logarithms and logarithmic derivatives in the Selberg class |
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Basic reductions of abelian varieties |
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A Weyl-type inequality for irreducible elements in function fields, with applications |
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On some explicit results for the sum of unitary divisor function |
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On sums of coefficients of polynomials related to the Borwein conjectures |
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On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums |
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Easy detection of (Di)Graphical Regular Representations |
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Statistics of the Mulitiplicative Groups |
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Characteristic polynomials, the Hybrid model, and the Ratios Conjecture |
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Some Pólya Fields of Small Degrees |
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A survey of Büthe's method for estimating prime counting functions |
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Twisted moments of characteristic polynomials of random matrices |
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The eighth moment of $\Gamma_1(q)$ L-functions |
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The size function for imaginary cyclic sextic fields |
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Local to global principle for higher moments of the natural density |
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Examples of well-behaved Beurling number systems |
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Explicit bounds for $\zeta$ and a new zero free region |
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Equidistribution of some families of short exponential sums |
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Mean values of long Dirichlet polynomials |
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Sums of proper divisors with missing digits |
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Fourier optimization and the least quadratic non-residue |
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Projective Planes and Hadamard Matrices |
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A discrete mean value of the Riemann zeta function and its derivatives |
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Collision of orbits under the action of a Drinfeld module |
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A Conjecture of Mazur predicting the growth of Mordell--Weil ranks in Z_p-extensions |
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Consecutive sums of two squares in arithmetic progressions |
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Moments of higher derivatives related to Dirichlet L-functions |
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Hilbert Class Fields and Embedding Problems |
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Primes in arithmetic progressions to smooth moduli |
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On extremal orthogonal arrays |
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Analogues of the Hilbert Irreducibility Theorem for integral points on surfaces |
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The fourth moment of quadratic Dirichlet L-functions |
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Zeros of linear combinations of Dirichlet L-functions on the critical line |
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Zeros of linear combinations of Dirichlet L-functions on the critical line |
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Pro-p Iwahori Invariants |
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Bounds on the Number of Solutions to Thue Equations |
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The Distribution of Logarithmic Derivatives of Quadratic L-functions in Positive Characteristic |
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Hypergeometric functions through the arithmetic kaleidoscope |