bio | website | condor.depaul.edu/~nramsey |
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location | Chicago | |
age | 35 | |
visits | member for | 3 years, 3 months |
seen | 6 hours ago | |
stats | profile views | 1,511 |
I'm interested in $p$-adic properties of modular forms and special values of their $L$-functions. Recently, I've thought a bit about Euclidean rings and Euclidean ideals.
Mar 24 |
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Ramanujan's tau function
Keith: Thanks! That's sort of what I thought he was getting at too. I guess what I find curious is that I'm "worried about the exponent 24" but not because it adds to the extravagance of the expression. This is the only exponent that makes it modular. To ask a rather figurative version of the OP's question: How did he know this? Relatedly, why didn't he just do away with the leading $q$ since it adds little apparent interest to the series without knowing something about modularity? |
Mar 23 |
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Ramanujan's tau function
I have no idea what the last sentence of the third paragraph means, but somehow I really want to. |
Feb 19 |
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Lines in image; are they significant to prime numbers if so how?
I really want to play that record. |
Jan 9 |
reviewed | Approve suggested edit on Salie-type sum bound |
Jan 9 |
reviewed | Approve suggested edit on Estimating a sum of gauss sums |
Jan 8 |
awarded | Yearling |
Jan 5 |
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L-functions and algebraic geometry
There are lots of articles and books and such on the "general philosophy" of $L$-functions from various points of view. You might want to ask something a little more pointed. For example, are you perhaps asking about what algebreo-geometric information can be gleaned from $L$-functions? The Weil conjectures you mention, for example, say that $L$-functions encode something about counting points on varieties. |
Jan 1 |
awarded | Custodian |
Jan 1 |
reviewed | Approve suggested edit on norm of the matrix series |
Dec 12 |
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Representation-theoretic operations on modular forms
I think that the paper "Multiplying Modular Forms" by Marty Weissman addresses something along these lines. |
Dec 5 |
answered | Does push forward commute with taking dual? |
Nov 25 |
awarded | Nice Question |
Apr 25 |
awarded | Necromancer |
Feb 22 |
revised |
Understanding Adjointness of Sheaves in Algebraic Geometry
deleted 40 characters in body |
Feb 22 |
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Understanding Adjointness of Sheaves in Algebraic Geometry
Oy. I was thinking about finite maps. I'm going to edit. |
Feb 22 |
answered | Understanding Adjointness of Sheaves in Algebraic Geometry |
Feb 8 |
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How do you pronounce “Hartshorne”?
I once heard somebody quip that the man's name is pronounced "Hart's Horn" but the book is pronounced "Hart Shorn." |
Jan 25 |
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Constructible topology on schemes
I don't know if this question will survive, but I'll admit that, as a non-expert who's never really had occasion to work with constructible sets, this is something I've been idly curious about on a handful of occasions. I'd like to hear the short version of why they're useful and maybe see a quick example or two. |
Jan 18 |
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Variant of Leopoldt's conjecture
I think what David meant was that CM fields are characterized by the property that, under any embedding into the complex numbers, the image is preserved by complex conjugation and the resulting involution on the field is independent of the embedding. |
Jan 17 |
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Variant of Leopoldt's conjecture
Curious: have you checked in any examples? |