On rational functions with monodromy group M11

On the rational monodromy - free potentials with sextic growth

We study the rational potentials V (x), with sextic growth at infinity , such that the corresponding one-dimensional Schrödinger equation has no monodromy in the complex domain for all values of the spectral parameter. We investigate in detail the subclass of such potentials which can be constructed by the Darboux transformations from the well-known class of quasi-exactly solvable potentials V ...

Duality on Hypermaps with Symmetric or Alternating Monodromy Group

Duality is the operation that interchanges hypervertices and hyperfaces on oriented hypermaps. The duality index measures how far a hypermap is from being self-dual. We say that an oriented regular hypermap has duality-type {l, n} if l is the valency of its vertices and n is the valency of its faces. Here, we study some properties of this duality index in oriented regular hypermaps and we prove...

L-functions and monodromy: four lectures on Weil II-1 L-functions and monodromy: four lectures on Weil II

fu u u un n n nc c c ct t t ti i i io o o on n n ns s s s a a a an n n nd d d d m m m mo o o on n n no o o od d d dr r r ro o o om m m my y y Ka a a at t t tz z z z T T T Ta a a ab b b bl l l le e e e o o o of f f f C C C Co o o on n n nt t t te e e en n n nt t t ts s s s L L L Le e e ec c c ct t t tu u u ur r r re e e e I I I I Introduction Review of …-adic sheaves and …-adic cohomology Weight...

On characterizations of the fully rational fuzzy choice functions

In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.

Twisted L-Functions and Monodromy