One repeats just as the mu'adhdhin [one who calls to prayer] says, except when he says:

حَيَّ عَلَى الصَّلاَةِ وَحَيَّ عَلَى الْفَلَاحِ

Hasten to the prayer, Hasten to Success

Hayya 'alas-Salaah wa Hayya 'alal-Falaah

Instead, one should say:

لاَ حَوْلَ وَلاَ قُوَّةَ إِلاَّ بِاللَّهِ

There is no might and no power except by Allah. [1]

Laa hawla wa laa quwwata 'illaa billaah.

Immediately following the declaration of faith called by the mu'adhdhin, one says:

وَأَنَا أَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَحْدَهُ لاَ شَرِيكَ لَهُ وَأَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ، رَضِيتُ بِاللَّهِ رَبَّاً، وَبِمُحَمَّدٍ رَسُولاً، وَبِالْإِسْلاَمِ دِينَاً

I bear witness that none has the right to be worshipped but Allah alone, Who has no partner, and that Muhammad is His slave and His Messenger. I am pleased with Allah as my Lord, with Muhammad as my Messenger and with Islam as my religion. [2, 3]

Wa 'anaa 'ash-hadu 'an laa 'ilaaha 'illallaahu wahdahu laa shareeka lahu wa 'anna Muhammadan 'abduhu wa Rasooluhu, radheetu billaahi Rabban, wa bi-Muhammadin Rasoolan wa bil'islaami deenan.

After replying to the call of mu'adhdhin. you should recite in Arabic Allah's blessings on the Prophet. [4]

اللَّهُمَّ رَبَّ هَذِهِ الدَّعْوَةِ التَّامَّةِ، وَالصَّلاَةِ الْقَائِمَةِ، آتِ مُحَمَّدًا الْوَسِيلَةَ وَالْفَضِيلَةَ، وَابْعَثْهُ مَقَامَاً مَحمُوداً الَّذِي وَعَدْتَهُ، [إِنَّكَ لَا تُخْلِفُ الْمِيعَادَ]

O Allah, Lord of this perfect call and established prayer. Grant Muhammad the intercession and favor, and raise him to the honored station You have promised him, [verily You do not neglect promises] . [5]

Allaahumma Rabba haathihid-da 'watit-taammati wassalaatil-qaa'imati, 'aati Muhammadanil-waseelata walfadheelata, wab 'ath-hu maqaamam-mahmoodanil-lathee wa'adtahu, ['innaka laa tukhliful-mee'aad]

Between the call to prayer and the 'Iqamah, you should supplicate Allah for yourself. Invocation during this time is not rejected. [6]

[1] Al-Bukhari 1/152, Muslim 1/288. [2] Muslim 1/290. [3] Ibn Khuzaymah 1/220. [4] Muslim 1/288. [5] Al-Bukhari 1/152, and the addition between brackets is from Al-Bayhaqi 1/410 with a good (Hasan) chain of narration. See 'Abdul-Azlz bin Baz's Tuhfatul-'Akhyar, pg. 38. [6] At-Tirmidhi, Abu Dawud, Ahmad, See also Al-Albani, Irwa ul-Ghalil 1/262