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Resonance chains: On Schottky surfaces the resonances of the Laplacian often form interesting chains (See Borthwick-Weich J. Spec. Theor 6(2) (2016) or Weich Comm.Math.Phys. 337(2) (2015)) Show image information

Resonance chains: On Schottky surfaces the resonances of the Laplacian often form interesting chains (See Borthwick-Weich J. Spec. Theor 6(2) (2016) or Weich Comm.Math.Phys. 337(2) (2015))

Forschungsinteressen

  • Automorphe Formen (vor allem Modulformen und harmonische Maassformen)

  • Zahlentheorie

  • L-Funktionen

Publikationen und Preprints

Preprints

C. Alfes-Neumann, M. Schwagenscheidt, Traces of reciprocal singular moduli, submitted. pdf

Publikationen

C. Alfes-Neumann, K. Bringmann, M. Schwagenscheidt, On the rationality of cycle integrals of meromorphic modular forms, Math. Ann., accepted for publication. pdf

C. Alfes-Neumann, M. Schwagenscheidt, Shintani theta lifts of harmonic Maass forms, Trans. Amer. Math. Soc., accepted for publication. pdf

C. Alfes-Neumann, M. Schwagenscheidt, Identities of Cycle Integrals of Weak Maass Forms, Ramanujan J., accepted for publication. pdf

C. Alfes-Neumann, M. Schwagenscheidt, A theta lift related to the Shintani lift, Advances in Mathematics, Volume 328 (2018), 858-889. pdf

C. Alfes, M. Griffin, K. Ono, and L. Rolen, Weierstrass mock modular forms and elliptic curves, Research in Number Theory, 1:24 (2015). pdf

C. Alfes, Formulas for the coefficients of half-integral weight harmonic Maass forms, Mathematische Zeitschrift, Volume 227, Issue 3 (2014), 769-795. pdf

C. Alfes, and T. Creutzig, The mock modular data of a family of superalgebras, Proc. Amer. Math. Soc., 142 (2014), 2265-2280. pdf

C. Alfes, and S. Ehlen, Twisted Traces of CM values of weak Maass forms, J. Number Theory,Volume 133, Issue 6, 1827-1845. pdf

C. Alfes, Parity of the coefficients of Klein’s $j$-function, Proc. Amer. Math. Soc., 141 (2013), 123-130. pdf

C. Alfes, K. Bringmann, and J. Lovejoy, Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols, Math. Proc. Cambridge Phil. Soc., 151 (2011), 385-406. pdf

C. Alfes, M. Jameson, and R. Lemke Oliver, Proof of the Andrews-Alder Conjecture, Proc. Amer. Math. Soc. 139 no. 1 (2011), 63-7. pdf

C. Alfes, Congruences for Ramanujan’s $\omega(q)$,  Ramanujan J. 22 (2010), no. 2, 163-169. pdf

 

Dissertation

C. Alfes, CM values and Fourier coefficients of harmonic Maass forms, Dissertation, TU Darmstadt, tuprints. pdf

 

Verschiedenes

C. Alfes-Neumann, Algebraic formula for the partition function, entry in Encyclopedia of Srinivasa Ramanujan and His Mathematics, editors: Krishnaswami Alladi, George E. Andrews, Bruce C. Berndt, and Ken Ono, accepted.

C. Alfes-Neumann, An introduction to the theory of harmonic Maass forms, In: Bruinier J., Kohnen W. (Eds) L-Functions and Automorphic Forms, Contributions in Mathematical and Computational Sciences, vol 10. Springer, Cham.

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