fix: require Re(s) > 2 in LSeries_totient_eq#1526
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The totient Dirichlet series is only absolutely summable for Re(s) > 2. Co-authored-by: Cursor <cursoragent@cursor.com>
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Summary
LSeries_totient_eqused hypothesis1 < Re(s), butLSeries (↗totient) sis only absolutely summable forRe(s) > 2. In the strip1 < Re(s) ≤ 2the series does not converge absolutely, so the identity is false as stated.Why this fix is correct
The Euler product for φ requires
Re(s) > 2andRe(s-1) > 1, i.e.Re(s) > 2, matching IK (1.35).Test plan
lake build PrimeNumberTheoremAnd.IwaniecKowalskiCh1Made with Cursor