This very mantra for Shree Ganesha
Who wrote it for first?
Which Shastra- Veda or others- contain that?
Dhanyawaad Thank you
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The mantra you are referring to (the one that is found the link given in the question) is Ganapaty Gayatri mantra viz:
Aum Ekadantaya Viddhamahe, Vakratundaya Dhimahi, Tanno Danti Prachodayat॥
It is originally from the Mahanarayana Upanishad. The Upanishad has a separate section containing Gayatri mantras of various deities.
तत्पुरुषाय विद्महे महादेवाय धीमहि । तन्नो रुद्रः प्रचोदयात् ॥ २३॥ (tatpurushaya vidmahe mahadevaya dhimahi | tanno rudrah prachodayat ||)
तत्पुरुषाय विद्महे वक्रतुण्डाय धीमहि । तन्नो दन्तिः प्रचोदयात् ॥ २४॥ (tatpurushaya vidmahe vakratundaya dhimahi | tanno dantih prachodayat ||)
The Upanishad is associated with Krishna Yajurveda. And, Upanishads don't have authors.