L-function, 217
Lagrange multipliers , 3 5
Langlands
conjectures, 24 1
program, 216, 24 1
lemniscate, 2 4
localization principle , 167
modular form , 24 3
Morse theory , 3 7
multiplicative function , 4 3
multizeta values , 57 , 6 3
MZV, 6 3
normal convergence , 8 1
Opera Omnia, 1, 14
partition function , 5 1
path integral , 193
pentagonal numbers , 5 1
Plancherel formula , 173
polylogarithm, 109
prime numbe r theorem , 54 , 176
quadratic
fields, 4 2
reciprocity, 4 4
Ramanujan-Petersson conjecture , 24 7
restricted product , 22 9
Riemann
hypothesis, 132
rearrangement theorem , 6 6
root number , 22 5
second variation , 3 6
series
strongly admissible , 154
T-summable, 149
shuffle, 108
Stirling formula , 122
Stone-Weierstrass theorem , 170
summation operator , 149
Tamagawa
measure, 23 6
number, 23 3
Tate zet a function , 23 7
Tauberian
condition, 161
theorems, 159
Trotter produc t formula , 20 4
Watson theorem , 157
Wiener
measure, 193, 194
summation, 161
Tauberian theorem , 162, 176, 182
zeta values , 5 6
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