[1] E. T. Whittaker and G. N. Watson, Modern Analysis, Cambridge Univ. Press, London, 1927, ch. 22. [2] R. Fricke, Die elliptische Funktionen, vol. 2, Leipzig, 1922, p. 293. [3] G. Holzmiiller, Einfiihrung in die Theorie der isogonalen Verwandtschaften und der conformen Abbildung, Teubner, Leipzig, 1882, pp. 256-258. [4] H. J. Stewart, The lift of a delta wing at supersonic speeds, Quart. Appl....

There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov– Reshetikhin crystals via a canonically chosen isomorphism. Here we show that this isomorphism intertwines the natural affine grading on Demazure crystals with a combinatorially defi...

We prove the transfer congruence between p-adic Hecke L-functions for CM fields over cyclotomic extensions, which is a non-abelian generalization of the Kummer’s congruence. The ingredients of the proof include the comparison between Hilbert modular varieties, the q-expansion principle, and some modification of Hsieh’s Whittaker model for Katz’ Eisenstein series. As a first application, we prov...

In this note we show that for an arbitrary semisimple Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We determine the possible poles.