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The Primary Pretenders

Mathematics – Number Theory
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The Prime Geodesic Theorem

Mathematics – Number Theory
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The primes contain arbitrarily long arithmetic progressions

Mathematics – Number Theory
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The primitive solutions to x^3+y^9=z^2

Mathematics – Number Theory
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The principle of the large sieve

Mathematics – Number Theory
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The Probability of Choosing Primitive Sets

Mathematics – Number Theory
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The probability that a complete intersection is smooth

Mathematics – Number Theory
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The probability that a random monic p-adic polynomial splits into linear factors

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The probability that the number of points on the Jacobian of a genus 2 curve is prime

Mathematics – Number Theory
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The Properties Of Modified q-Bernstein Polynomials for Functions Of Several Variables With Their Generating Function And Interpolation Function

Mathematics – Number Theory
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The Prouhet-Tarry-Escott problem for Gaussian integers

Mathematics – Number Theory
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The quadratic character experiment

Mathematics – Number Theory
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The quadratic character of 1+\sqrt{2} and an elliptic curve

Mathematics – Number Theory
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The quantitative behaviour of polynomial orbits on nilmanifolds

Mathematics – Number Theory
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The Rabin cryptosystem revisited

Mathematics – Number Theory
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The Ramanujan property for regular cubical complexes

Mathematics – Number Theory
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The Ramanujan-Serre differential operators and certain elliptic curves

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The range of multiplicative functions on C[x], R[x] and Z[x]

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The Rankin-Selberg method for automorphic distributions

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The ratio of θ-congruent numbers

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