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Dr. Raphael Sebastian Steiner

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List of publications

  • Theta functions, fourth moments of eigenforms, and the sup-norm problem I, joint with I. Khayutin, submitted,
  • Sup-norm of Hecke-Laplace Eigenforms on S^3, Mathematische Annalen (2020), journal link
  • The harmonic conjunction of automorphic forms and the Hardy-Littlewood circle method, Ph.D. Thesis, University of Bristol, EThOS link
  • On a twisted version of Linnik and Selberg’s conjecture, Mathematika 65 (2019), 437-474, journal link
  • A conjectural extension of Hecke's converse theorem, joint with A. Booker et al., The Ramanujan Journal, journal link
  • Twisted Linnik implies optimal covering exponent for S^3, joint with T. Browning and V. Kumaraswamy, IMRN, journal link
  • Near Counterexamples to Weil's Converse Theorem, Journal de Théorie des Nombres de Bordeaux, Vol. 31, No. 2 (2019), 313-321, journal link
  • Effective Vinogradov's mean value theorem via efficient boxing, Journal of Number Theory 204 (2019), 354-404, journal link
  • Supnorm of Modular Forms of half-integral Weight in the Weight Aspect, Acta Arithmetica 177 (2017), 201-218, journal link
  • Uniform bounds on sup-norms of holomorphic forms of real weight, Int. J. Number Theory 12 (2016), 1163-1185, journal link

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