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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 |
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Generic Representations and ABV packets for p-adic Groups |
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Fake mu's: Make Abstracts Great Again! |
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The Shanks–Rényi prime number race problem |
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Joint distribution of central values and orders of Sha groups of quadratic twists of an elliptic curve |
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The distribution of analytic ranks of elliptic curve over prime cyclic number fields |
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The influence of the Galois group structure on the Chebyshev bias in number fields |
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Oscillations in Mertens’ product theorem for number fields |
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A Mertens function analogue for the Rankin–Selberg L-function |
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Counting “supersingularity” in arithmetic statistics |
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Explicit estimates for the Mertens function |
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Joint Distribution of primes in multiple short intervals |
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Quantitative upper bounds related to an isogeny criterion for elliptic curves |
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Distribution of Gaussian primes and zeros of L-functions |
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Remarks on Landau–Siegel zeros |
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Shifting the ordinates of zeros of the Riemann zeta function |
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A simple proof of the Wiener–Ikehara Tauberian theorem |
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The Riemann hypothesis via the generalized von Mangoldt function |
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Moments in the Chebotarev density theorem |
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Average value of $\pi(t) - li(t)$ |
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On the generalised Dirichlet divisor problem |
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Oscillation results for the summatory functions of fake \mu |
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Unconditional comparative prime number theory over function fields |
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Spacing statistics of the Farey sequence |
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Zero-free regions of the Riemann zeta-function |
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Number theory versus random matrix theory: the joint moments story |
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Ramanujan sums and the Hardy–Littlewood prime tuple conjecture |
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A race problem arising from elliptic curves |
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Almost periodicity and large oscillations of prime counting functions |
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Explicit zero-free regions or the Riemann zeta-function for large t |
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Remarks on a formula of Ramanujan |
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