I’m not aware of a distinct group called “Vidhaydhara Jains” as a formal lineage. If you meant the idea of Vidyadharas (the highly learned Jain scholars), then their contributions are broad and cross both Digambara and Śvetāmbara traditions. Here is a simple overview of what learned Jain scholars have contributed to Jainism in philosophy, sciences, and related fields:

• Philosophy and metaphysics

- Development and articulation of Jain ontological principles (jiva, ajiva, karma) and the nature of liberated souls. - Systematization of Jain epistemology (pramana) and logic within Jain frameworks. - Explication of Jain ethics (ahimsa, aparigraha) and the path to liberation (moksha) through right knowledge, right faith, and right conduct.

• Logic, pramana, and epistemology

- Works that analyze valid means of knowledge, argumentation, and how to discern true from false ideas within a Jain worldview. - Commentaries and debates that sharpen distinctions between perception, inference, and testimony in Jain thought.

• Grammar, literature, and poetics

- Composition of doctrinal poems, explantory verses, and prose that teach Jain ideals. - Explanations of canonical texts through vernacular language and traditional poetics so laypeople can study and reflect on dharma.

• Biography, history, and temple/monastic codes

- Chronicling the lives of tirthankaras, seers, and monks; recording monastic rules, rituals, and organizational norms. - Preservation and commentary on canonical texts to keep doctrinal clarity across generations.

• Astronomy and natural philosophy (in some Jain traditions)

- Some learned authors engaged with natural philosophy and astronomy to harmonize Jain cosmology with observational ideas of their time.

Important notes:

• There are differences in emphasis between Digambara and Śvetāmbara scholars. Some texts and interpretations are unique to one tradition, while others are shared or debated across both.
• The core aim of Jain scholarship in these circles has been to clarify dharma, support ethical living, and guide practitioners toward liberation with accuracy and reverence.

If you’d like, I can look for a JainKnowledge.com page that discusses Vidyadharas or Jain scholarly traditions and summarize from that source.