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Questions about modular forms and related areas

2 votes
Accepted

Values of cusp forms at q = 1 ?

I'll give a slightly uncertain answer, based somewhat on my recollection of conversations with Zagier a month ago about similar questions. If we were to imitate Euler, we might consider $f(1)$ as $$f …
Marty's user avatar
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17 votes

Do L-functions exist for Half-integral weight modular forms?

Upon David Loeffler's request, here is a more fleshed out version of my former comments: In his comment, Nick Ramsey mentioned that the natural L-function for a half-integral weight modular form is re …
Marty's user avatar
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36 votes
2 answers
3k views

Does anyone want a pretty Maass form?

A few months ago, I was curious about some properties of Maass cusp forms, of nonabelian arithmetic origin. As a result, I went through a somewhat predictable process of finding a totally real $A_4$ …
9 votes

Why only half-integral weight automorphic forms?

I think that modular forms (for $SL_2$) of integer and half-integer weights are most important for arithmetic, while modular forms of other (real or complex) weights are primarily objects of analytic …
Marty's user avatar
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