Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
tirmidhi:516Aḥmad b. Manīʿ > Ḥammād b. Khālid al-Khayyāṭ > Ibn Abū Dhiʾb > al-Zuhrī > al-Sāʾib b. Yazīd > Kān

"The Adhan during the time of Messenger of Allah, Abu Bakr, and Umar was when the Imam came out, [and when] the Iqamah was called for the Salat. Then Uthman [may Allah be pleased with him] added a third call at Az-Zawra."  

Abū ʿĪsá said that this Ḥadīth is Ḥasan-Ṣaḥīḥ.
الترمذي:٥١٦حَدَّثَنَا أَحْمَدُ بْنُ مَنِيعٍ حَدَّثَنَا حَمَّادُ بْنُ خَالِدٍ الْخَيَّاطُ عَنِ ابْنِ أَبِي ذِئْبٍ عَنِ الزُّهْرِيِّ عَنِ السَّائِبِ بْنِ يَزِيدَ قَالَ

كَانَ الأَذَانُ عَلَى عَهْدِ رَسُولِ اللَّهِ ﷺ وَأَبِي بَكْرٍ وَعُمَرَ إِذَا خَرَجَ الإِمَامُ وَإِذَا أُقِيمَتِ الصَّلاَةُ فَلَمَّا كَانَ عُثْمَانُ ؓ زَادَ النِّدَاءَ الثَّالِثَ عَلَى الزَّوْرَاءِ  

قَالَ أَبُو عِيسَى هَذَا حَدِيثٌ حَسَنٌ صَحِيحٌ

See similar narrations below:

Collected by Bukhārī, Ṭabarānī
bukhari:912Ādam > Ibn Abū Dhiʾb > al-Zuhrī > al-Sāʾib b. Yazīd > Kān al-Nidāʾ

In the lifetime of the Prophet, Abu Bakr and ʿUmar, the Adhan for the Jumua prayer used to be pronounced when the Imam sat on the pulpit. But during the Caliphate of ʿUthman when the Muslims increased in number, a third Adhan at Az-Zaura' was added. Abu ʿAbdullah said, "Az-Zaura' is a place in the market of Medina."  

البخاري:٩١٢حَدَّثَنَا آدَمُ قَالَ حَدَّثَنَا ابْنُ أَبِي ذِئْبٍ عَنِ الزُّهْرِيِّ عَنِ السَّائِبِ بْنِ يَزِيدَ قَالَ

كَانَ النِّدَاءُ يَوْمَ الْجُمُعَةِ أَوَّلُهُ إِذَا جَلَسَ الإِمَامُ عَلَى الْمِنْبَرِ عَلَى عَهْدِ النَّبِيِّ ﷺ وَأَبِي بَكْرٍ وَعُمَرَ ؓ فَلَمَّا كَانَ عُثْمَانُ ؓ وَكَثُرَ النَّاسُ زَادَ النِّدَاءَ الثَّالِثَ عَلَى الزَّوْرَاءِ  

tabarani:6647ʿUmar b. Ḥafṣ al-Sadūsī > ʿĀṣim b. ʿAlī > Ibn Abū Dhiʾb > al-Zuhrī > al-Sāʾib b. Yazīd Ibn Ukht al-Namir b. Qāsiṭ > al-Nidāʾ

[Machine] "That the call on Friday used to begin when the Imam sat down, and when the prayer was established during the time of the Messenger of Allah ﷺ and Abu Bakr and Umar, until the time of Uthman and when people increased, the third call was added to al-Zawra."  

الطبراني:٦٦٤٧حَدَّثَنَا عُمَرُ بْنُ حَفْصٍ السَّدُوسِيُّ ثنا عَاصِمُ بْنُ عَلِيٍّ ثنا ابْنُ أَبِي ذِئْبٍ عَنِ الزُّهْرِيِّ عَنِ السَّائِبِ بْنِ يَزِيدَ ابْنِ أُخْتِ النَّمِرِ بْنِ قَاسِطٍ

«أَنَّ النِّدَاءَ يَوْمَ الْجُمُعَةِ كَانَ أَوَّلُهُ إِذَا جَلَسَ الْإِمَامُ وَإِذَا قَامَتِ الصَّلَاةُ عَلَى عَهْدِ رَسُولِ اللهِ ﷺ وَأَبِي بَكْرٍ وَعُمَرَ ؓ حَتَّى إِذَا كَانَ عُثْمَانُ ؓ وَكَثُرَ النَّاسُ فَزَادَ النِّدَاءَ الثَّالِثَ عَلَى الزَّوْرَاءِ»