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FourExponentials.Conjecture

FourExponentials.NormalizedConjecture

HardyZeta.criticalPoint

HardyZeta.criticalPoint_re

HardyZeta.criticalPoint_im

HardyZeta.criticalPoint_injective

HardyZeta.criticalPoint_ne_zero

HardyZeta.criticalPoint_ne_one

HardyZeta.continuous_criticalPoint

HardyZeta.xi

HardyZeta.criticalXi

HardyZeta.completedZeta_criticalPoint_eq_zero_iff

HardyZeta.criticalXi_eq_zero_iff

HardyZeta.xi_one_sub

HardyZeta.criticalPoint_neg

HardyZeta.criticalXi_neg

HardyZeta.continuous_criticalXi

HardyZeta.InfinitelyManyCriticalZeros

HardyZeta.ZerosAboveEveryHeight

HardyZeta.infinite_criticalZeros_of_zerosAboveEveryHeight

HardyZeta.fourier_exp_neg_abs

HardyZeta.integrable_exp_neg_abs

HardyZeta.modifiedDifference

HardyZeta.differenceMultiplier

HardyZeta.modifiedDifference_cos

HardyZeta.modifiedDifference_cosh

HardyZeta.differenceMultiplier_nonneg

HardyZeta.modifiedDifference_const_mul

HardyZeta.iterate_modifiedDifference_cosh

HardyZeta.differenceMultiplier_eq_squares

HardyZeta.tendsto_differenceMultiplier_div_sq

HardyZeta.modifiedDifference_integral

HardyZeta.integrable_difference_kernel

HardyZeta.abs_modifiedDifference_le

HardyZeta.abs_iterate_modifiedDifference_le

HardyZeta.continuous_dslope_sinh

HardyZeta.continuous_dslope_sin

HardyZeta.extendedDifferenceMultiplier

HardyZeta.extendedDifferenceMultiplier_zero

HardyZeta.continuous_extendedDifferenceMultiplier

HardyZeta.extendedDifferenceMultiplier_eq

HardyZeta.tendsto_integral_differenceKernel_Icc

HardyZeta.tendsto_scaled_boundary_value

HardyZeta.tendsto_scaled_iterate_modifiedDifference

HardyZeta.tendsto_thetaBoundaryRemainder_re_weighted

HardyZeta.tendsto_scaled_theta_difference

HardyZeta.hardyTransform

HardyZeta.difference_sample_bounds

HardyZeta.integrableOn_hardyDifference

HardyZeta.iterate_hardyTransform_eq_integral

HardyZeta.iterate_modifiedDifference_congr_strip

HardyZeta.not_eventually_positive_hardyWeight_mul

HardyZeta.zerosAboveEveryHeight

HardyZeta.hardy

HardyZeta.iterate_modifiedDifference_sub

HardyZeta.iterate_modifiedDifference_const_mul

HardyZeta.iterate_modifiedDifference_cos_succ

HardyZeta.hardyTransform_eq

HardyZeta.iterate_hardyTransform_eq_theta

HardyZeta.eventually_difference_center_inside

HardyZeta.tendsto_scaled_hardy_difference

HardyZeta.normalizedHardyKernel

HardyZeta.normalizedHardyKernel_nonneg

HardyZeta.normalizedHardyIntegral_eq

HardyZeta.tendsto_normalizedHardyIntegral

HardyZeta.integrableOn_normalizedHardyKernel

HardyZeta.hardyWeight

HardyZeta.ofReal_hardyWeight

HardyZeta.continuous_hardyWeight

HardyZeta.hardyWeight_neg

HardyZeta.abs_hardyWeight_le

HardyZeta.cosh_le_exp_abs

HardyZeta.integrableOn_hardyWeight_cosh

HardyZeta.hardyWeight_abs

HardyZeta.abs_hardyWeight_le_abs

HardyZeta.integrable_hardyWeight_exp

HardyZeta.integral_shifted_even_power

HardyZeta.integral_shifted_even_power_eq_zero

HardyZeta.not_geometric_domination

HardyZeta.mellin_conj_of_real_kernel

HardyZeta.modifiedTheta_conj

HardyZeta.completedZeta₀_conj

HardyZeta.completedZeta_conj

HardyZeta.xi_conj

HardyZeta.conj_criticalPoint

HardyZeta.criticalXi_conj

HardyZeta.criticalXi_im

HardyZeta.hardyXi

HardyZeta.ofReal_hardyXi

HardyZeta.hardyXi_eq_zero_iff

HardyZeta.continuous_hardyXi

HardyZeta.hardyXi_neg

HardyZeta.sector_disk_bounds

HardyZeta.compact_tail_le_total_add_initial

HardyZeta.continuous_normalizedHardyKernel

HardyZeta.tendsto_compact_normalizedHardyKernel

HardyZeta.boundary_compact_comparison

HardyZeta.positive_tail_mass

HardyZeta.initial_polynomial_bound

HardyZeta.tail_polynomial_bound

HardyZeta.not_positive_tail_of_compact_moments

HardyZeta.not_positive_tail_of_vanishing_differences

HardyZeta.psi

HardyZeta.hasSum_psi

HardyZeta.psi_eq_tsum

HardyZeta.norm_psi_le

HardyZeta.differentiableAt_psi

HardyZeta.psi_inversion

HardyZeta.psi_ofReal_eq_evenKernel

HardyZeta.thetaFourierIntegrand

HardyZeta.norm_thetaFourierIntegrand

HardyZeta.differentiableAt_thetaFourierIntegrand

HardyZeta.integrable_thetaFourierIntegrand_horizontal

HardyZeta.norm_thetaFourierIntegrand_le

HardyZeta.norm_theta_verticalIntegral_le

HardyZeta.tendsto_theta_verticalIntegral

HardyZeta.thetaFourierIntegral_shift

HardyZeta.thetaHorizontalMass

HardyZeta.thetaHorizontalMass_nonneg

HardyZeta.norm_thetaFourierIntegral_le

HardyZeta.completedZeta_eq_thetaFourierIntegral

HardyZeta.norm_completedZeta_critical_le

HardyZeta.thetaTerm

HardyZeta.hasSum_thetaTerm

HardyZeta.thetaTerm_even

HardyZeta.thetaTerm_shift

HardyZeta.psi_shift

HardyZeta.cpow_four_mul_half

HardyZeta.psi_cusp_identity

HardyZeta.re_one_div_pos

HardyZeta.norm_psi_cusp_le

HardyZeta.norm_psi_le_two_exp

HardyZeta.norm_psi_cusp_le_exp

HardyZeta.re_reciprocal_four_mul

HardyZeta.sector_reciprocal_lower

HardyZeta.norm_psi_cusp_le_sector

HardyZeta.weighted_norm_psi_cusp_le_sector

HardyZeta.tendsto_weighted_psi_cusp

HardyZeta.fourier_theta_horizontal_eq_integral

HardyZeta.thetaFourierIntegrand_horizontal

HardyZeta.fourier_theta_horizontal

HardyZeta.fourier_theta_eq_hardyWeight

HardyZeta.fourier_theta_horizontal_eq_weight

HardyZeta.integrable_fourier_theta_horizontal

HardyZeta.integral_fourier_theta_horizontal

HardyZeta.integral_hardyWeight_exp

HardyZeta.integral_hardyWeight_exp_eq_cosh

HardyZeta.integral_hardyWeight_cosh

HardyZeta.norm_psi_le_inv_re

HardyZeta.cos_im_lower

HardyZeta.thetaStripConstant

HardyZeta.norm_thetaLogKernel_le_of_re_nonneg

HardyZeta.norm_thetaLogKernel_le

HardyZeta.integrable_thetaLogKernel_horizontal

HardyZeta.thetaCuspPath

HardyZeta.thetaCuspPath_zero

HardyZeta.thetaCuspPath_eq

HardyZeta.hasDerivAt_thetaCuspPath_zero

HardyZeta.tendsto_thetaCuspPath_div

HardyZeta.tendsto_thetaCuspPath

HardyZeta.eventually_thetaCuspPath_sector

HardyZeta.tendsto_thetaCuspPath_weighted

HardyZeta.tendsto_theta_argument_weighted

HardyZeta.thetaBoundaryRemainder

HardyZeta.norm_thetaBoundaryRemainder

HardyZeta.tendsto_thetaBoundaryRemainder_weighted

HardyZeta.modifiedThetaLogKernel

HardyZeta.modifiedTheta_mellinConvergent

HardyZeta.completedZeta₀_eq_fourier

HardyZeta.completedZeta_eq_fourier

HardyZeta.integrable_mellinLogKernel

HardyZeta.integrable_modifiedThetaLogKernel

HardyZeta.poleLogKernel

HardyZeta.integrable_poleLogKernel

HardyZeta.fourier_poleLogKernel

HardyZeta.correctedThetaLogKernel

HardyZeta.integrable_correctedThetaLogKernel

HardyZeta.fourier_sub_of_integrable

HardyZeta.completedZeta_eq_fourier_corrected

HardyZeta.thetaLogKernel

HardyZeta.correctedThetaLogKernel_eq

HardyZeta.correctedThetaLogKernel_ae_eq

HardyZeta.integrable_thetaLogKernel

HardyZeta.completedZeta_eq_fourier_theta

HardyZeta.differentiableAt_thetaLogKernel

HardyZeta.thetaLogKernel_neg

HardyZeta.finite_zeros_in_bounded_interval

HardyZeta.constant_sign_on_Ioi

HardyZeta.eventual_sign_of_not_zerosAboveEveryHeight

SharpFiveExponentials.Conjecture

HardyZeta.thetaFourierIntegrand.eq_1

HardyZeta.criticalXi_eq_zero_iff._simp_1_7

HardyZeta.thetaHorizontalMass.eq_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_3

HardyZeta.extendedDifferenceMultiplier._proof_2

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_1

HardyZeta.integrableOn_normalizedHardyKernel._simp_1_1

HardyZeta.fourier_poleLogKernel._simp_1_4

HardyZeta.differenceMultiplier.eq_1

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_2

HardyZeta.eventually_thetaCuspPath_sector._simp_1_5

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_7

HardyZeta.fourier_poleLogKernel._simp_1_5

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_6

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_6

HardyZeta.correctedThetaLogKernel.eq_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_6

HardyZeta.compact_tail_le_total_add_initial._simp_1_1

HardyZeta.criticalXi_eq_zero_iff._simp_1_3

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_1

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_4

HardyZeta.tendsto_scaled_boundary_value._simp_1_2

HardyZeta.thetaStripConstant._proof_1

HardyZeta.eventually_thetaCuspPath_sector._simp_1_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_5

HardyZeta.integrableOn_normalizedHardyKernel._simp_1_2

HardyZeta.eventually_thetaCuspPath_sector._simp_1_2

HardyZeta.criticalXi_eq_zero_iff._simp_1_5

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_7

HardyZeta.fourier_poleLogKernel._simp_1_1

HardyZeta.normalizedHardyIntegral_eq._simp_1_1

HardyZeta.tendsto_scaled_boundary_value._simp_1_3

HardyZeta.normalizedHardyKernel._proof_1

HardyZeta.poleLogKernel.eq_1

HardyZeta.hardyTransform.eq_1

HardyZeta.thetaTerm_shift._simp_1_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_7

HardyZeta.fourier_poleLogKernel._simp_1_2

HardyZeta.criticalPoint.eq_1

HardyZeta.normalizedHardyKernel.eq_1

HardyZeta.completedZeta_criticalPoint_eq_zero_iff._simp_1_1

HardyZeta.eventually_thetaCuspPath_sector._simp_1_6

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_5

HardyZeta.criticalXi.eq_1

HardyZeta.thetaCuspPath._proof_1

HardyZeta.normalizedHardyIntegral_eq._simp_1_2

HardyZeta.extendedDifferenceMultiplier.eq_1

HardyZeta.eventually_thetaCuspPath_sector._simp_1_7

HardyZeta.eventually_thetaCuspPath_sector._simp_1_4

HardyZeta.fourier_poleLogKernel._simp_1_3

HardyZeta.fourier_poleLogKernel._simp_1_6

HardyZeta.compact_tail_le_total_add_initial._simp_1_2

HardyZeta.criticalXi_eq_zero_iff._simp_1_4

HardyZeta.hardyWeight.eq_1

HardyZeta.criticalXi_eq_zero_iff._simp_1_6

HardyZeta.modifiedThetaLogKernel.eq_1

HardyZeta.eventually_thetaCuspPath_sector._simp_1_3

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_3

HardyZeta.criticalPoint._proof_1

HardyZeta.hardyXi.eq_1

HardyZeta.modifiedThetaLogKernel._proof_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_2

HardyZeta.tendsto_scaled_boundary_value._simp_1_7

HardyZeta.thetaLogKernel._proof_1

HardyZeta.modifiedDifference._proof_1

HardyZeta.not_positive_tail_of_compact_moments._simp_1_1

HardyZeta.integrable_exp_neg_abs._simp_1_1

HardyZeta.hardyWeight._proof_1

HardyZeta.modifiedDifference.eq_1

HardyZeta.psi_shift._proof_1_1

HardyZeta.thetaBoundaryRemainder.eq_1

HardyZeta.tendsto_scaled_boundary_value._simp_1_1

HardyZeta.xi.eq_1

HardyZeta.thetaLogKernel.eq_1

HardyZeta.extendedDifferenceMultiplier._proof_1

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_4

SharpFiveExponentials.Conjecture._proof_1

HardyZeta.thetaTerm.eq_1

HardyZeta.fourier_poleLogKernel._simp_1_7

HardyZeta.extendedDifferenceMultiplier_eq._simp_1_2

HardyZeta.psi.eq_1

HardyZeta.tendsto_scaled_boundary_value._simp_1_6

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_5

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_4

HardyZeta.not_eventually_positive_hardyWeight_mul._simp_1_1

HardyZeta.psi._proof_1

HardyZeta.fourier_theta_eq_hardyWeight._simp_1_1

HardyZeta.zerosAboveEveryHeight._simp_1_1

HardyZeta.thetaCuspPath.eq_1

HardyZeta.completedZeta_eq_thetaFourierIntegral._simp_1_3

HardyZeta.tendsto_scaled_boundary_value._simp_1_4

HardyZeta.tendsto_scaled_boundary_value._simp_1_5