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Expanders, Group Theory, Arithmetic Geometry, Cryptography and Much More |
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Introduction to Artin L-series (1 of 3) |
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Artin’s holomorphy conjecture and recent progress (2 of 3) |
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Special values of Artin L-series (3 of 3) |
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Distribution of Values of zeta and L-functions (1 of 3) |
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Moments of zeta and L-functions on the critical Line I (2 of 3) |
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Moments of zeta and L-functions on the critical Line II (3 of 3) |
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Ranks of elliptic curves |
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Numbers and Shapes |
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Cryptography: Secrets and Lies, Knowledge and Trust |
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The power and weakness of randomness (when you are short on time) |
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Native American Mathematics |
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The rank of elliptic curves |
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Undecidability in Number Theory |
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An arithmetic intersection formula for denominators of Igusa class polynomials |
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OM representation of prime ideals and applications in function fields |
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Abelian Varieties Multi-Site Seminar Series: Drew Sutherland |
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Lifts of Hilbert modular forms and application to modularity of Abelian varieties |
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On the local Langlands conjectures |
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Multivariate (phi, Gamma)-modules |
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Polya’s Program for the Riemann Hypothesis and Related Problems |
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Some specialization problems in Geometry and Number Theory |
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Class Numbers of Certain Quadratic Fields |
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Regular Representations of Groups |
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Explicit results about primes in Chebotarev's density theorem |
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Richard Guy and the Encyclopedia of Integer Sequences: A Fifty-Year Friendship |
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The favorite elliptic curve of Richard |
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Aliquot sequences |
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Crossing Numbers of Large Complete Graphs |
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The Notorious Collatz conjecture |
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The Life and Numbers of Richard Guy (1916 – 2020) |
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Unsolved Problems in Number Theory |
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A moment with L-functions |
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Selberg's central limit theorem for quadratic Dirichlet $L$-functions over function fields |
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One-level density of zeros of Dirichlet L-functions over function fields |
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The recipe for moments of $L$-functions |
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Negative moments of the Riemann zeta function |
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Lambert series of logarithm and a mean value theorem for $\zeta(\frac{1}{2}-it)\zeta'(\frac{1}{2}+it)$ |
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Asymptotic mean square of product of higher derivatives of the zeta-function and Dirichlet polynomials |
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The generalised Shanks's conjecture |
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Logging of the zeta-function, but only for a few moments! |
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Quantum variance for automorphic forms |
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Limitations to equidistribution in arithmetic progressions |
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Discrete Moments |
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Moments of large families of Dirichlet $L$-functions |
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$L^p$-norm bounds for automorphic forms |
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Double square moments and bounds for resonance sums for cusp forms |
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Moments and periods for $GL(3)$ |
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Twisted first moment of $GL(3)\times GL(2)$ $L$-function |
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Geodesic restrictions of Maass forms and moments of Hecke $L$-functions |
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