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0704.0013.txt |@word consider:4 gp:5 results:3 invent:1 proposition:16 primes:2 gl:1 compact:1 analytic:1 tr:4 γt:7 tm:2 th:1 under:1 kθ:1 g7:2 mpb:3 orthogonal:3 far:1 bilinear:1 g8:3 every:19 lecture:3 associated:1 dim:11 school:1 m2g:1 riemann:1 level:2 notes:3 t1:2 large:3 vector:3 math:17 anal:1 upper:2 zn:1 des:1 sturm:2 japanese:1 zero:11 further:2 reine:1 odd:6 canonical:2 residue:6 3x:1 appear:2 sum:1 version:1 new:2 congruences:11 method:1 coefficient:1 respectively:2 b2r:1 here:9 modular:58 objects:3 groups:2 address:2 112b:3 divisibility:1 obtained:3 remark:6 divisor:1 52b:1 institute:1 study:1 studied:4 allows:1 products:1 fourier:25 classification:1 ls:2 texts:1 9z:1 apply:2 prove:4 remains:1 positive:27 negative:3 next:1 call:1 therefore:2 m2:1 c4n:5 more:4 atf:9 elliptic:2 definition:4 thus:3 berlin:3 dirichlet:1 known:1 iii:1 springer:4 isomorphism:5 ma:1 recall:2 work:1 det:4 mh:5 mk:1 mt:2 values:3 ρt:5 mr:6 following:12 trans:1 root:1 example:2 proof:24 claim:3 lτ:2 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0704.0015.txt |@word replacing:1 limited:1 gs:1 consider:5 pointing:1 gp:1 mnp:1 2s12:1 mnr:1 iib:2 desirable:2 results:4 integration:4 leads:4 scalar:6 γmnp:5 computation:3 edu:1 consists:3 mna:1 expressions:17 contributions:6 issues:2 gh:10 γz:5 γy:5 γx:5 const:1 calculate:1 superspace:13 γs:3 γq:3 technique:1 tr:44 δhr:2 containing:1 presents:1 γi:2 program:1 δhk:1 those:4 th:18 under:4 γc:1 γb:6 γa:9 must:4 worth:1 γe:1 eliminate:1 conservation:1 case:9 supported:1 amplitudes:28 string:3 straightforward:4 returning:1 very:3 rise:1 choice:4 4c2:1 witten:1 mpr:5 stays:1 application:2 affect:2 extending:1 simplify:5 matrices:7 condition:1 chapel:1 wa:2 four:51 poitiers:1 6a1:1 subsets:1 immediately:1 level:3 turns:3 xyz:4 t5:1 list:2 solution:2 t1:20 stemming:1 solved:7 vector:7 manifestly:1 gauge:10 dαn:1 exhibits:1 equation:7 multiplies:2 jhep:1 mn:24 slower:1 zi:8 ten:9 dealing:2 sign:4 translating:2 elegant:1 zero:17 mnpq:11 displays:1 correlator:21 further:1 odd:16 canonical:4 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