Mathtube- Analytic Aspects of L-functions and Applications to Number Theory

  1. Title:
    Euler's divergent series and primes in arithmetic progressions
    Speaker:
    Anne-Maria Ernvall-hytönen

    Link:
    https://mathtube.org/lecture/video/eulers-divergent-series-and-primes-arithmetic-progressions

  2. Title:
    Sign changes of the error term in the Piltz divisor problem
    Speaker:
    Cruz Castillo

    Link:
    https://mathtube.org/lecture/video/sign-changes-error-term-piltz-divisor-problem

  3. Title:
    An explicit estimate on the mean value of the error in the prime number theorem in intervals
    Speaker:
    Michaela Cully-hugill

    Link:
    https://mathtube.org/lecture/video/explicit-estimate-mean-value-error-prime-number-theorem-intervals

  4. Title:
    Conditional estimates for logarithms and logarithmic derivatives in the Selberg class
    Speaker:
    Neea Palojärvi

    Link:
    https://mathtube.org/lecture/video/conditional-estimates-logarithms-and-logarithmic-derivatives-selberg-class

  5. Title:
    On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums
    Speaker:
    Shivani Goel

    Link:
    https://mathtube.org/lecture/video/hardy-littlewood-3-tuple-prime-conjecture-and-convolutions-ramanujan-sums

  6. Title:
    Characteristic polynomials, the Hybrid model, and the Ratios Conjecture
    Speaker:
    Andrew Pearce-crump

    Link:
    https://mathtube.org/lecture/video/characteristic-polynomials-hybrid-model-and-ratios-conjecture

  7. Title:
    Twisted moments of characteristic polynomials of random matrices
    Speaker:
    Siegfred Baluyot

    Link:
    https://mathtube.org/lecture/video/twisted-moments-characteristic-polynomials-random-matrices

  8. Title:
    The eighth moment of $\Gamma_1(q)$ L-functions
    Speaker:
    Vorrapan Chandee

    Link:
    https://mathtube.org/lecture/video/eighth-moment-gamma1q-l-functions

  9. Title:
    Möbius function, an identity factory with applications
    Speaker:
    Sebastian Zuniga Alterman

    Link:
    https://mathtube.org/lecture/video/m%C3%B6bius-function-identity-factory-applications

  10. Title:
    Explicit bounds for $\zeta$ and a new zero free region
    Speaker:
    Chiara Bel

    Link:
    https://mathtube.org/lecture/video/explicit-bounds-zeta-and-new-zero-free-region

  11. Title:
    Mean values of long Dirichlet polynomials
    Speaker:
    Winston Heap

    Link:
    https://mathtube.org/lecture/video/mean-values-long-dirichlet-polynomials

  12. Title:
    Fourier optimization and the least quadratic non-residue
    Speaker:
    Emily Quesada-herrera

    Link:
    https://mathtube.org/lecture/video/fourier-optimization-and-least-quadratic-non-residue

  13. Title:
    Consecutive sums of two squares in arithmetic progressions
    Speaker:
    Vivian Kuperberg

    Link:
    https://mathtube.org/lecture/video/consecutive-sums-two-squares-arithmetic-progressions

  14. Title:
    L-functions in Analytic Number Theory: Biitu
    Speaker:
    Bittu

    Link:
    https://mathtube.org/lecture/video/l-functions-analytic-number-theory-biitu

  15. Title:
    Primes in arithmetic progressions to smooth moduli
    Speaker:
    Julia Stadlmann

    Link:
    https://mathtube.org/lecture/video/primes-arithmetic-progressions-smooth-moduli

  16. Title:
    Zeros of linear combinations of Dirichlet L-functions on the critical line
    Speaker:
    Jérémy Dousselin

    Link:
    https://mathtube.org/lecture/video/zeros-linear-combinations-dirichlet-l-functions-critical-line

  17. Title:
    Zeros of linear combinations of Dirichlet L-functions on the critical line
    Speaker:
    Jérémy Dousselin

    Link:
    https://mathtube.org/lecture/video/zeros-linear-combinations-dirichlet-l-functions-critical-line-0

  18. Title:
    Bounds on the Number of Solutions to Thue Equations
    Speaker:
    Greg Knapp

    Link:
    https://mathtube.org/lecture/video/bounds-number-solutions-thue-equations-0